{"title":"Applied mathematics","description":"Books on the subject of Applied mathematics","products":[{"product_id":"experimental-design-and-data-analysis-for-biologists-paperback-9780521009768","title":"Experimental Design and Data Analysis for Biologists (Paperback) 9780521009768","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eExperimental Design and Data Analysis for Biologists\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eAn essential textbook for any biologist needing to design experiments, sample programs or analyse the resulting data.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eGerry P. Quinn (Author), Michael J. Keough (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521009768, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 21 March 2002\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e553 pages, 125 b\/w illus.  85 tables\u003cbr\u003e24.6 x 19 x 3 cm, 1.16 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'… an essential textbook for students and researchers in biology needing to design experiments, sampling programs or analyze the resulting data.' Folia Geobotanica\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eAn essential textbook for any student or researcher in biology needing to design experiments, sample programs or analyse the resulting data. The text begins with a revision of estimation and hypothesis testing methods, covering both classical and Bayesian philosophies, before advancing to the analysis of linear and generalized linear models. Topics covered include linear and logistic regression, simple and complex ANOVA models (for factorial, nested, block, split-plot and repeated measures and covariance designs), and log-linear models. Multivariate techniques, including classification and ordination, are then introduced. Special emphasis is placed on checking assumptions, exploratory data analysis and presentation of results. The main analyses are illustrated with many examples from published papers and there is an extensive reference list to both the statistical and biological literature. The book is supported by a website that provides all data sets, questions for each chapter and links to software.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introduction\u003cbr\u003e 2. Estimation\u003cbr\u003e 3. Hypothesis testing\u003cbr\u003e 4. Graphical exploration of data\u003cbr\u003e 5. Correlation and regression\u003cbr\u003e 6. Multiple regression and correlation\u003cbr\u003e 7. Design and power analysis\u003cbr\u003e 8. Comparing groups or treatments - analysis of variance\u003cbr\u003e 9. Multifactor analysis of variance\u003cbr\u003e 10. Randomized blocks and simple repeated measures: unreplicated two-factor designs\u003cbr\u003e 11. Split plot and repeated measures designs: partly nested anovas\u003cbr\u003e 12. Analysis of covariance\u003cbr\u003e 13. Generalized linear models and logistic regression\u003cbr\u003e 14. Analyzing frequencies\u003cbr\u003e 15. Introduction to multivariate analyses\u003cbr\u003e 16. Multivariate analysis of variance and discriminant analysis\u003cbr\u003e 17. Principal components and correspondence analysis\u003cbr\u003e 18. Multidimensional scaling and cluster analysis\u003cbr\u003e 19. Presentation of results.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Life sciences: general issues [\u003ca title=\"See our other books on Life sciences: general issues\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Life%20sciences:%20general%20issues%20%5BPSA%5D%22\"\u003ePSA\u003c\/a\u003e], Biology, life sciences [\u003ca title=\"See our other books on Biology, life sciences\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Biology,%20life%20sciences%20%5BPS%5D%22\"\u003ePS\u003c\/a\u003e], Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":45978342129944,"sku":"9780521009768","price":44.69,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521009768i_8119006d-7891-44a4-b750-22a558d01677.jpg?v=1691376618"},{"product_id":"evolutionary-games-and-population-dynamics-paperback-9780521625708","title":"Evolutionary Games and Population Dynamics (Paperback) 9780521625708","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eEvolutionary Games and Population Dynamics\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eHow to understand evolution in mathematical terms, i.e. how to model natural selection by game theory.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJosef Hofbauer (Author), Karl Sigmund (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521625708, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 28 May 1998\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e352 pages, 20 b\/w illus.\u003cbr\u003e24.6 x 18.9 x 1.9 cm, 0.63 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'…  an excellent publication that helps to bridge one of the gaps between biologists and  mathematicians.' David Boukai, Folia Geobotanica\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eEvery form of behaviour is shaped by trial and error. Such stepwise adaptation can occur through individual learning or through natural selection, the basis of evolution. Since the work of Maynard Smith and others, it has been realised how game theory can model this process. Evolutionary game theory replaces the static solutions of classical game theory by a dynamical approach centred not on the concept of rational players but on the population dynamics of behavioural programmes. In this book the authors investigate the nonlinear dynamics of the self-regulation of social and economic behaviour, and of the closely related interactions between species in ecological communities. Replicator equations describe how successful strategies spread and thereby create new conditions which can alter the basis of their success, i.e. to enable us to understand the strategic and genetic foundations of the endless chronicle of invasions and extinctions which punctuate evolution. In short, evolutionary game theory describes when to escalate a conflict, how to elicit cooperation, why to expect a balance of the sexes, and how to understand natural selection in mathematical terms.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eIntroduction for game theorists\u003cbr\u003e Introduction for biologists\u003cbr\u003e Part I. Dynamical Systems And Lotka-Volterra Equations: 1. The logistic equation\u003cbr\u003e 2. Lotka-Volterra for predator-prey systems\u003cbr\u003e 3. Lotka-Volterra for two competitors\u003cbr\u003e 4. Ecological equations for two species\u003cbr\u003e 5. Lotka-Volterra for more than two populations\u003cbr\u003e Part II. Game Dynamics And Replicator Equations: 6. Evolutionarily stable strategies\u003cbr\u003e 7. Replicator equations\u003cbr\u003e 8. Other game dynamics\u003cbr\u003e 9. Adaptive dynamics\u003cbr\u003e 10. Asymmetric conflicts\u003cbr\u003e 11. More on bimatrix games\u003cbr\u003e Part III. More On Lotka-Volterra And Replicator Dynamics: 12. Hypercircles and permanence\u003cbr\u003e 13. Criteria for permanence\u003cbr\u003e 14. Replicator networks\u003cbr\u003e 15. Stability in n-species communities\u003cbr\u003e 16. Some low-dimensional ecological systems\u003cbr\u003e 17. Heteroclinic cycles and C-matrices\u003cbr\u003e Part IV. Population Genetics: 18. Discrete dynamical systems in population genetics\u003cbr\u003e 19. Continuous selection dynamics\u003cbr\u003e 20. Mutation and recombination\u003cbr\u003e 21. Fertility selection\u003cbr\u003e 22. Game dynamics for Mendelian populations\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Evolution [\u003ca title=\"See our other books on Evolution\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Evolution%20%5BPSAJ%5D%22\"\u003ePSAJ\u003c\/a\u003e], Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e], Game theory [\u003ca title=\"See our other books on Game theory\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Game%20theory%20%5BPBUD%5D%22\"\u003ePBUD\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":45978351829272,"sku":"9780521625708","price":56.56,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521625708i_9c623cf0-90b2-43c8-b336-02d4a77bc4b4.jpg?v=1691370699"},{"product_id":"information-theory-evolution-and-the-origin-of-life-paperback-9780521169585","title":"Information Theory, Evolution, and the Origin of Life (Paperback) 9780521169585","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eInformation Theory, Evolution, and the Origin of Life\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis book is an introduction to the use of information theory and coding theory in molecular biology.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eHubert P. Yockey (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521169585, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 17 February 2011\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e272 pages\u003cbr\u003e22.9 x 15.2 x 1.6 cm, 0.4 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eOriginally published in 2005, Information Theory, Evolution and the Origin of Life presents an introduction to the use of information theory and coding theory in molecular biology. The genetical information system, because it is linear and digital, resembles the algorithmic language of computers. George Gamow pointed out that the application of Shannon's information theory breaks genetics and molecular biology out of the descriptive mode into the quantitative mode and Dr Yockey develops this theme, discussing how information theory and coding theory can be applied to molecular biology. He discusses how these tools for measuring the information in the sequences of the genome and the proteome are essential for our complete understanding of the nature and origin of life. The author writes for the computer competent reader who is interested in evolution and the origins of life.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. The genetic information system\u003cbr\u003e 2. James Watson, Francis Crick, George Gamow and the genetic code\u003cbr\u003e 3. The central dogma of molecular biology\u003cbr\u003e 4. The measure of information content in the genetic message\u003cbr\u003e 5. Communication of information from the genome to the proteome\u003cbr\u003e 6. The information content or complexity of protein families\u003cbr\u003e 7. Evolution of the genetic code and its modern characteristics\u003cbr\u003e 8. Haeckel's Urschleim and the role of the central dogma in the origin of life\u003cbr\u003e 9. Philosophical approaches to the origin of life\u003cbr\u003e 10. Error catastrophe and the hypercycles of Eigen and Schuster\u003cbr\u003e 11. Randomness, complexity, the unknowable and the impossible\u003cbr\u003e 12. Does evolution need an intelligent designer?\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Genetics [\u003ca title=\"See our other books on Genetics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Genetics%20%5Bnon-medical%5D%20%5BPSAK%5D%22\"\u003enon-medical PSAK\u003c\/a\u003e], Evolution [\u003ca title=\"See our other books on Evolution\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Evolution%20%5BPSAJ%5D%22\"\u003ePSAJ\u003c\/a\u003e], Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e], Information theory [\u003ca title=\"See our other books on Information theory\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Information%20theory%20%5BGPF%5D%22\"\u003eGPF\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":45978351927576,"sku":"9780521169585","price":41.59,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521169585i_af4bb718-763c-4c9c-92e1-70bc941c3da8.jpg?v=1691372904"},{"product_id":"data-analysis-in-community-and-landscape-ecology-paperback-9780521475747","title":"Data Analysis in Community and Landscape Ecology (Paperback) 9780521475747","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eData Analysis in Community and Landscape Ecology\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis edited volume explains data analysis methods, examples, exercises and case-studies.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eR. H. G. Jongman (Author), C. J. F. Ter Braak (Author), O. F. R. van Tongeren (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521475747, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 2 March 1995\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e324 pages, 98 b\/w illus.  47 tables  6 exercises\u003cbr\u003e22.9 x 15.2 x 2.3 cm, 0.52 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'… excellent work …' Journal of Applied Ecology\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eEcological data has several special properties: the presence or absence of species on a semi-quantitative abundance scale; non-linear relationships between species and environmental factors; and high inter-correlations among species and among environmental variables. The analysis of such data is important to the interpretation of relationships within plant and animal communities and with their environments. In this corrected version of Data Analysis in Community and Landscape Ecology, without using complex mathematics, the contributors demonstrate the methods that have proven most useful, with examples, exercises and case-studies. Chapters explain in an elementary way powerful data analysis techniques such as logic regression, canonical correspondence analysis, and kriging.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eList of contributors\u003cbr\u003e Preface to first edition\u003cbr\u003e Acknowledgement\u003cbr\u003e List of symbols\u003cbr\u003e Dune meadow data\u003cbr\u003e 1. Introduction R. H. G. Jongman\u003cbr\u003e 2. Data collection J. C. Jager and C. W. N. Looman\u003cbr\u003e 3. Regression C. J. F. ter Braak and C. W. N. Looman\u003cbr\u003e 4. Calibration C. J. F. ter Braak\u003cbr\u003e 5. Ordination C. J. F. ter Braak\u003cbr\u003e 6. Cluster analysis O. F. R. van Tongeren\u003cbr\u003e 7. Spatial aspects of ecological data P. A. Burrough\u003cbr\u003e 8. Numerical methods in practice: case-studies P. A. Burrough, J. A. F. Oudhof, A. Barendregt, R. H. G. Jongman and T. J. van de Nes\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Ecological science, the Biosphere [\u003ca title=\"See our other books on Ecological science, the Biosphere\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Ecological%20science,%20the%20Biosphere%20%5BPSAF%5D%22\"\u003ePSAF\u003c\/a\u003e], Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":45978355499288,"sku":"9780521475747","price":42.47,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521475747i_987aed60-f791-48dd-896a-564fcf73eee1.jpg?v=1691382849"},{"product_id":"the-geometry-of-evolution-adaptive-landscapes-and-theoretical-morphospaces-hardback-9780521849425","title":"The Geometry of Evolution; Adaptive Landscapes and Theoretical Morphospaces (Hardback) 9780521849425","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe Geometry of Evolution\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eAdaptive Landscapes and Theoretical Morphospaces\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eFirst published in 2006, this book demonstrates the power of the adaptive landscape concept in understanding evolution.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eGeorge R. McGhee (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521849425, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 7 December 2006\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e212 pages\u003cbr\u003e23.3 x 15.8 x 1.6 cm, 0.477 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003eReview of the hardback: 'Theoretical morphology needs to become mainstream and find its purpose … This book has established an extremely solid foundation …' American Journal of Human Biology\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe metaphor of the adaptive landscape - that evolution via the process of natural selection can be visualized as a journey across adaptive hills and valleys, mountains and ravines - permeates both evolutionary biology and the philosophy of science. The focus of this 2006 book is to demonstrate to the reader that the adaptive landscape concept can be put into actual analytical practice through the usage of theoretical morphospaces - geometric spaces of both existent and non-existent biological form - and to demonstrate the power of the adaptive landscape concept in understanding the process of evolution. The adaptive landscape concept further allows us to take a spatial approach to the concepts of natural selection, evolutionary constraint and evolutionary development. For that reason, this book relies heavily on spatial graphics to convey the concepts developed within these pages, and less so on formal mathematics.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. The concept of the adaptive landscape\u003cbr\u003e 2. Modelling natural selection in adaptive landscapes\u003cbr\u003e 3. Modelling evolutionary phenomena in adaptive landscapes\u003cbr\u003e 4. The concept of the theoretical morphospace\u003cbr\u003e 5. Analysing the role of adaptive evolution in theoretical morphospaces\u003cbr\u003e 6. Analysing evolutionary phenomena in theoretical morphospaces\u003cbr\u003e 7. Evolutionary constraint in theoretical morphospace\u003cbr\u003e 8. Evolutionary development in theoretical morphospace\u003cbr\u003e 9. There is much to be done …\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Evolution [\u003ca title=\"See our other books on Evolution\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Evolution%20%5BPSAJ%5D%22\"\u003ePSAJ\u003c\/a\u003e], Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":45978367230232,"sku":"9780521849425","price":48.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521849425i_0bd3517b-cedd-4a76-b4ac-240fba918bce.jpg?v=1691368813"},{"product_id":"risk-management-for-central-banks-and-other-public-investors-hardback-9780521518567","title":"Risk Management for Central Banks and Other Public Investors (Hardback) 9780521518567","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eRisk Management for Central Banks and Other Public Investors\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA survey of the fundamental issues and techniques surrounding risk management.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eUlrich Bindseil (Edited by), Fernando Gonzalez (Edited by), Evangelos Tabakis (Edited by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521518567, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 15 January 2009\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e542 pages\u003cbr\u003e25.3 x 18.2 x 3.2 cm, 1.22 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003eReview of the hardback: 'A timely and comprehensive reference that should be required reading for risk managers and central bankers.' Philippe Jorion, University of California, Irvine\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eDomestic and foreign financial assets of all central banks and public wealth funds worldwide are estimated to have reached more than 12 trillion US dollars in 2007. How do these institutions manage such unprecedented growth in their financial assets and how have they responded to the 'revolution' of risk management techniques during the last two decades? This book surveys the fundamental issues and techniques associated with risk management and shows how central banks and other public investors can create better risk management systems. Each chapter looks at a specific area of risk management, first presenting general problems and then showing how these materialize in the special case of public institutions. Written by a team of risk management experts from the European Central Bank, this much-needed survey is an ideal resource for those concerned with the increasingly important task of managing risk in central banks and other financial institutions.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eForeword\u003cbr\u003e Introduction\u003cbr\u003e Part I. Investment Operations of Central Banks and Other Public Investors: 1. Central banks and other public institutions as financial investors U. Bindseil\u003cbr\u003e 2. Strategic asset allocation for central banks and public investors K. Nyholm and M. Koivu\u003cbr\u003e 3. Credit risk modeling for public institutions' bond portfolios H. van der Hoorn\u003cbr\u003e 4. Risk control framework, limits, reporting, compliance monitoring, and other risk control functions A. Manzanares and H. Schwartzlose\u003cbr\u003e 5. Performance measurement and attribution H. Bourquin, S. Hesselberg and R. Marton\u003cbr\u003e Part II. Collaterised Lending Operations: 6. Credit risk taking in collaterised lending operations U. Bindseil and F. Papadia\u003cbr\u003e 7. The collateral and credit risk mitigation frameworks of central banks E. Tabakis and B. Weller\u003cbr\u003e 8. Risk mitigation measures and credit risk assessment in central bank policy operations F. González and P. Molitor\u003cbr\u003e 9. Risk measures for a repo portfolio E. Heinle and M. Koivu\u003cbr\u003e Part III. Organisational Issues and Operational Risk Management: 10. Organisational issues relating to the risk management function of public investors E. Tabakis\u003cbr\u003e 11. Operational risk management in central banks J.-C. Sevet\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e], Banking [\u003ca title=\"See our other books on Banking\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Banking%20%5BKFFK%5D%22\"\u003eKFFK\u003c\/a\u003e], Finance \u0026amp; accounting [\u003ca title=\"See our other books on Finance \u0026amp; accounting\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Finance%20\u0026amp;%20accounting%20%5BKF%5D%22\"\u003eKF\u003c\/a\u003e], Monetary economics [\u003ca title=\"See our other books on Monetary economics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Monetary%20economics%20%5BKCBM%5D%22\"\u003eKCBM\u003c\/a\u003e], Risk assessment [\u003ca title=\"See our other books on Risk assessment\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Risk%20assessment%20%5BGPQD%5D%22\"\u003eGPQD\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":45999527493912,"sku":"9780521518567","price":112.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521518567i_5147e244-94e9-4116-b157-f29736118838.jpg?v=1691383509"},{"product_id":"classical-mechanics-paperback-9780521534093","title":"Classical Mechanics (Paperback) 9780521534093","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eClassical Mechanics\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eGregory's Classical Mechanics is a major new textbook for undergraduate students in mathematics and physics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eR. Douglas Gregory (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521534093, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 13 April 2006\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e606 pages, 193 b\/w illus.  3 tables  348 exercises\u003cbr\u003e24.9 x 17.4 x 2.8 cm, 1.196 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'The writing here is a picture of clarity and directness … The exercises include plenty of interesting and challenging problems … an attractive and  well-written exposition of classical mechanics. I wish it had been my textbook when I was a student.' Mathematical Association of America\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eGregory's Classical Mechanics is a major new textbook for undergraduates in mathematics and physics. It is a thorough, self-contained and highly readable account of a subject many students find difficult. The author's clear and systematic style promotes a good understanding of the subject: each concept is motivated and illustrated by worked examples, while problem sets provide plenty of practice for understanding and technique. Computer assisted problems, some suitable for projects, are also included. The book is structured to make learning the subject easy; there is a natural progression from core topics to more advanced ones and hard topics are treated with particular care. A theme of the book is the importance of conservation principles. These appear first in vectorial mechanics where they are proved and applied to problem solving. They reappear in analytical mechanics, where they are shown to be related to symmetries of the Lagrangian, culminating in Noether's theorem.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePart I. Newtonian Mechanics of a Single Particle: 1. The algebra and calculus of vectors\u003cbr\u003e 2. Velocity, acceleration and scalar angular velocity\u003cbr\u003e 3. Newton's laws of motion and the law of gravitation\u003cbr\u003e 4. Problems in particle dynamics\u003cbr\u003e 5. Linear oscillations\u003cbr\u003e 6. Energy conservation\u003cbr\u003e 7. Orbits in a central field\u003cbr\u003e 8. Non-linear oscillations and phase space\u003cbr\u003e Part II. Multi-particle Systems: 9. The energy principle\u003cbr\u003e 10. The linear momentum principle\u003cbr\u003e 11. The angular momentum principle\u003cbr\u003e Part III. Analytical mechanics: 12. Lagrange's equations and conservation principle\u003cbr\u003e 13. The calculus of variations and Hamilton's principle\u003cbr\u003e 14. Hamilton's equations and phase space\u003cbr\u003e Part IV. Further Topics: 15. The general theory of small oscillations\u003cbr\u003e 16. Vector angular velocity and rigid body kinematics\u003cbr\u003e 17. Rotating reference frames\u003cbr\u003e 18. Tensor algebra and the inertia tensor\u003cbr\u003e 19. Problems in rigid body dynamics\u003cbr\u003e Appendix: centres of mass and moments of inertia\u003cbr\u003e Answers to the problems\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Maths for engineers [\u003ca title=\"See our other books on Maths for engineers\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Maths%20for%20engineers%20%5BTBJ%5D%22\"\u003eTBJ\u003c\/a\u003e], Fluid mechanics [\u003ca title=\"See our other books on Fluid mechanics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Fluid%20mechanics%20%5BPHDF%5D%22\"\u003ePHDF\u003c\/a\u003e], Maths for scientists [\u003ca title=\"See our other books on Maths for scientists\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Maths%20for%20scientists%20%5BPDE%5D%22\"\u003ePDE\u003c\/a\u003e], Nonlinear science [\u003ca title=\"See our other books on Nonlinear science\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Nonlinear%20science%20%5BPBWR%5D%22\"\u003ePBWR\u003c\/a\u003e], Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":45999540732184,"sku":"9780521534093","price":47.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521534093i_9d278705-a94c-4076-bb5a-12ccc3a00241.jpg?v=1691369216"},{"product_id":"numerical-recipes-3rd-edition-the-art-of-scientific-computing-hardback-9780521880688","title":"Numerical Recipes 3rd Edition; The Art of Scientific Computing (Hardback) 9780521880688","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eNumerical Recipes 3rd Edition\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eThe Art of Scientific Computing\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eThe essential text and reference for modern scientific computing now also covers computational geometry, classification and inference, and much more.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eWilliam H. Press (Author), Saul A. Teukolsky (Author), William T. Vetterling (Author), Brian P. Flannery (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521880688, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 6 September 2007\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1256 pages, 37 tables\u003cbr\u003e26.2 x 19 x 4.5 cm, 2.06 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'The attractive style of the text and the availability of the codes ensured the popularity of the previous editions and also recommended this recent volume to different categories of readers, more or less experienced in numerical computation.'  Octavian Pastravanu, Zentralblatt MATH\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eDo you want easy access to the latest methods in scientific computing? This greatly expanded third edition of Numerical Recipes has it, with wider coverage than ever before, many new, expanded and updated sections, and two completely new chapters. The executable C++ code, now printed in colour for easy reading, adopts an object-oriented style particularly suited to scientific applications. Co-authored by four leading scientists from academia and industry, Numerical Recipes starts with basic mathematics and computer science and proceeds to complete, working routines. The whole book is presented in the informal, easy-to-read style that made earlier editions so popular. Highlights of the new material include: a new chapter on classification and inference, Gaussian mixture models, HMMs, hierarchical clustering, and SVMs; a new chapter on computational geometry, covering KD trees, quad- and octrees, Delaunay triangulation, and algorithms for lines, polygons, triangles, and spheres; interior point methods for linear programming; MCMC; an expanded treatment of ODEs with completely new routines; and many new statistical distributions. For support, or to subscribe to an online version, please visit www.nr.com.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Preliminaries\u003cbr\u003e 2. Solution of linear algebraic equations\u003cbr\u003e 3. Interpolation and extrapolation\u003cbr\u003e 4. Integration of functions\u003cbr\u003e 5. Evaluation of functions\u003cbr\u003e 6. Special functions\u003cbr\u003e 7. Random numbers\u003cbr\u003e 8. Sorting and selection\u003cbr\u003e 9. Root finding and nonlinear sets of equations\u003cbr\u003e 10. Minimization or maximization of functions\u003cbr\u003e 11. Eigensystems\u003cbr\u003e 12. Fast Fourier transform\u003cbr\u003e 13. Fourier and spectral applications\u003cbr\u003e 14. Statistical description of data\u003cbr\u003e 15. Modeling of data\u003cbr\u003e 16. Classification and inference\u003cbr\u003e 17. Integration of ordinary differential equations\u003cbr\u003e 18. Two point boundary value problems\u003cbr\u003e 19. Integral equations and inverse theory\u003cbr\u003e 20. Partial differential equations\u003cbr\u003e 21. Computational geometry\u003cbr\u003e 22. Less-numerical algorithms\u003cbr\u003e References.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Maths for engineers [\u003ca title=\"See our other books on Maths for engineers\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Maths%20for%20engineers%20%5BTBJ%5D%22\"\u003eTBJ\u003c\/a\u003e], Maths for scientists [\u003ca title=\"See our other books on Maths for scientists\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Maths%20for%20scientists%20%5BPDE%5D%22\"\u003ePDE\u003c\/a\u003e], Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e], Numerical analysis [\u003ca title=\"See our other books on Numerical analysis\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Numerical%20analysis%20%5BPBKS%5D%22\"\u003ePBKS\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":45999559901464,"sku":"9780521880688","price":90.95,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521880688i_5dbbe158-57ae-4abf-abed-7f81c65f495c.jpg?v=1691358796"},{"product_id":"thermodynamic-formalism-the-mathematical-structure-of-equilibrium-statistical-mechanics-paperback-9780521546492","title":"Thermodynamic Formalism; The Mathematical Structure of Equilibrium Statistical Mechanics (Paperback) 9780521546492","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThermodynamic Formalism\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eThe Mathematical Structure of Equilibrium Statistical Mechanics\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eReissued in the Cambridge Mathematical Library this classic book outlines the theory of thermodynamic formalism.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eDavid Ruelle (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521546492, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 25 November 2004\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e196 pages, 33 exercises\u003cbr\u003e22.9 x 15.2 x 1.1 cm, 0.3 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'This is the second edition of the already classical book on the theory of thermodynamic formalism by David Ruelle.' Monatshefte für Mathematik\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eReissued in the Cambridge Mathematical Library this classic book outlines the theory of thermodynamic formalism which was developed to describe the properties of certain physical systems consisting of a large number of subunits. It is aimed at mathematicians interested in ergodic theory, topological dynamics, constructive quantum field theory, the study of certain differentiable dynamical systems, notably Anosov diffeomorphisms and flows. It is also of interest to theoretical physicists concerned with the conceptual basis of equilibrium statistical mechanics. The level of the presentation is generally advanced, the objective being to provide an efficient research tool and a text for use in graduate teaching. Background material on mathematics has been collected in appendices to help the reader. Extra material is given in the form of updates of problems that were open at the original time of writing and as a new preface specially written for this new edition by the author.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introduction to the 2nd edition\u003cbr\u003e 2. Introduction\u003cbr\u003e 3. Theory of Gibbs States\u003cbr\u003e 4. Gibbs States: complements\u003cbr\u003e 5. Translation invariance: theory of equilibrium states\u003cbr\u003e 6. Connection between Gibbs States and equilibrium\u003cbr\u003e 7. One-dimensional systems\u003cbr\u003e 8. Extension of the thermodynamic formalism\u003cbr\u003e Appendix A.1. Miscellaneous definitions and results\u003cbr\u003e Appendix A.2. Topological dynamics\u003cbr\u003e Appendix A.3. Convexity\u003cbr\u003e Appendix A.4. Measures and abstract dynamical systems\u003cbr\u003e Appendix A.5. Integral representations on convex compact sets\u003cbr\u003e Appendix B. Open problems\u003cbr\u003e Appendix C. Flows\u003cbr\u003e Appendix D. Update of open problems.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Thermodynamics \u0026amp; heat [\u003ca title=\"See our other books on Thermodynamics \u0026amp; heat\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Thermodynamics%20\u0026amp;%20heat%20%5BPHH%5D%22\"\u003ePHH\u003c\/a\u003e], Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":45999640805656,"sku":"9780521546492","price":67.89,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521546492i_0c59961c-9189-4519-be8a-40986d0c8abe.jpg?v=1691369483"},{"product_id":"vorticity-and-incompressible-flow-paperback-9780521639484","title":"Vorticity and Incompressible Flow (Paperback) 9780521639484","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eVorticity and Incompressible Flow\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eAndrew J. Majda (Author), Andrea L. Bertozzi (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521639484, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 26 November 2001\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e560 pages, 48 b\/w illus.  3 tables\u003cbr\u003e24.7 x 17.4 x 2.7 cm, 0.88 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'… a masterpiece of applied mathematics.' Zeitschrift für Angewandte Mathematik und Mechanik\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis book is a comprehensive introduction to the mathematical theory of vorticity and incompressible flow ranging from elementary introductory material to current research topics. While the contents center on mathematical theory, many parts of the book showcase the interaction between rigorous mathematical theory, numerical, asymptotic, and qualitative simplified modeling, and physical phenomena. The first half forms an introductory graduate course on vorticity and incompressible flow. The second half comprises a modern applied mathematics graduate course on the weak solution theory for incompressible flow.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. An introduction to vortex dynamics for incompressible fluid flows\u003cbr\u003e 2. The vorticity-stream formulation of the Euler and the Navier-Stokes equations\u003cbr\u003e 3. Energy methods for the Euler and the Navier-Stokes equations\u003cbr\u003e 4. The particle-trajectory method for existence and uniqueness of solutions to the Euler equation\u003cbr\u003e 5. The search for singular solutions to the 3D Euler equations\u003cbr\u003e 6. Computational vortex methods\u003cbr\u003e 7. Simplified asympototic equations for slender vortex filaments\u003cbr\u003e 8. Weak solutions to the 2D Euler equations with initial vorticity in L?\u003cbr\u003e 9. Introduction to vortex sheets, weak solutions and approximate-solution sequences for the Euler equation\u003cbr\u003e 10. Weak solutions and solution sequences in two dimensions\u003cbr\u003e 11. The 2D Euler equation: concentrations and weak solutions with vortex-sheet initial data\u003cbr\u003e 12. Reduced Hausdorff dimension, oscillations and measure-valued solutions of the Euler equations in two and three dimensions\u003cbr\u003e 13. The Vlasov-Poisson equations as an analogy to the Euler equations for the study of weak solutions\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Fluid mechanics [\u003ca title=\"See our other books on Fluid mechanics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Fluid%20mechanics%20%5BPHDF%5D%22\"\u003ePHDF\u003c\/a\u003e], Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46000101490968,"sku":"9780521639484","price":71.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521639484i_fe0f6c26-8a85-4cad-96fe-e66a86af8870.jpg?v=1691379409"},{"product_id":"aspects-of-quantum-field-theory-in-curved-spacetime-paperback-9780521377683","title":"Aspects of Quantum Field Theory in Curved Spacetime (Paperback) 9780521377683","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eAspects of Quantum Field Theory in Curved Spacetime\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eStephen A. Fulling (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521377683, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 24 August 1989\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e328 pages\u003cbr\u003e22.8 x 15.2 x 2.3 cm, 0.498 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"It provides for the mathematician an introduction to this field of physics in a language and from a point of view which we quickly find familiar.  The physicist will gain the conviction that this quantum field theory has a very sound mathematical basis.\"   Sorin Marculescu, Mathematical Reviews\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe theory of quantum fields on curved spacetimes has attracted great attention since the discovery, by Stephen Hawking, of black-hole evaporation. It remains an important subject for the understanding of such contemporary topics as inflationary cosmology, quantum gravity and superstring theory. This book provides, for mathematicians, an introduction to this field of physics in a language and from a viewpoint which such a reader should find congenial. Physicists should also gain from reading this book a sound grasp of various aspects of the theory, some of which have not been particularly emphasised in the existing review literature. The topics covered include normal-mode expansions for a general elliptic operator, Fock space, the Casimir effect, the 'Klein' paradox, particle definition and particle creation in expanding universes, asymptotic expansion of Green's functions and heat kernels, and renormalisation of the stress tensor. The style is pedagogic rather than formal; some knowledge of general relativity and differential geometry is assumed, but the author does supply background material on functional analysis and quantum field theory as required. The book arose from a course taught to graduate students and could be used for self-study or for advanced courses in relativity and quantum field theory.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. A quick course in quantum mechanics\u003cbr\u003e 2. Self-adjoint, elliptic differential operators and eigen-function expansions\u003cbr\u003e 3. Quantisation of a static, scalar field theory\u003cbr\u003e 4. Two-point functions\u003cbr\u003e 5. The stress tensor and the Casimir effect\u003cbr\u003e 6. Quantum field theory in general space-times\u003cbr\u003e 7. Quantum field theory in an expanding universe\u003cbr\u003e 8. Some geometrical apparatus\u003cbr\u003e 9. Renormalisation of the stress tensor\u003cbr\u003e Conclusion\u003cbr\u003e Appendix\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46000115122456,"sku":"9780521377683","price":56.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521377683i_6fb72bdc-8503-413d-b1e1-b4f00d4609e2.jpg?v=1691376047"},{"product_id":"mathematics-for-economics-and-finance-methods-and-modelling-paperback-9780521559133","title":"Mathematics for Economics and Finance; Methods and Modelling (Paperback) 9780521559133","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eMathematics for Economics and Finance\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eMethods and Modelling\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eAn introduction to mathematical modelling in economics and finance.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eMartin Anthony (Author), Norman Biggs (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521559133, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 13 July 1996\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e407 pages\u003cbr\u003e22.8 x 15.2 x 2.3 cm, 0.658 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'Throughout, the stress is firmly on how the mathematics relates to economics, and this is illustrated with copious examples and exercises that will foster depth of understanding.' L'Enseignement Mathématique\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eMathematics has become indispensable in the modelling of economics, finance, business and management. Without expecting any particular background of the reader, this book covers the following mathematical topics, with frequent reference to applications in economics and finance: functions, graphs and equations, recurrences (difference equations), differentiation, exponentials and logarithms, optimisation, partial differentiation, optimisation in several variables, vectors and matrices, linear equations, Lagrange multipliers, integration, first-order and second-order differential equations. The stress is on the relation of maths to economics, and this is illustrated with copious examples and exercises to foster depth of understanding. Each chapter has three parts: the main text, a section of further worked examples and a summary of the chapter together with a selection of problems for the reader to attempt. For students of economics, mathematics, or both, this book provides an introduction to mathematical methods in economics and finance that will be welcomed for its clarity and breadth.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Mathematical models in economics\u003cbr\u003e 2. Mathematical terms and notations\u003cbr\u003e 3. Sequences, recurrences and limits\u003cbr\u003e 4. Elements of finance\u003cbr\u003e 5. The cobweb model\u003cbr\u003e 6. Introduction to calculus\u003cbr\u003e 7. Some special functions\u003cbr\u003e 8. Introduction to optimisation\u003cbr\u003e 9. The derivative in economics I\u003cbr\u003e 10. The derivative in economics II\u003cbr\u003e 11. Partial derivatives\u003cbr\u003e 12. Applications of partial derivatives\u003cbr\u003e 13. Optimisation in two variables\u003cbr\u003e 14. Vectors, preferences and convexity\u003cbr\u003e 15. Matrix algebra\u003cbr\u003e 16. Linear equations I\u003cbr\u003e 17. Linear equations II\u003cbr\u003e 18. Inverse matrices\u003cbr\u003e 19. The input output model\u003cbr\u003e 20. Determinants\u003cbr\u003e 21. Constrained optimisation\u003cbr\u003e 22. Lagrangians and the consumer\u003cbr\u003e 23. Second-order recurrence equations\u003cbr\u003e 24. Macroeconomic applications\u003cbr\u003e 25. Areas and integrals\u003cbr\u003e 26. Techniques of integration\u003cbr\u003e 27. First-order differential equations\u003cbr\u003e 28. Second-order differential equations\u003cbr\u003e Selected solutions.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46000122233112,"sku":"9780521559133","price":44.19,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521559133i_5fc9c750-b5d6-4e7b-9a91-acdb0c66847a.jpg?v=1691369778"},{"product_id":"machine-learning-and-data-sciences-for-financial-markets-a-guide-to-contemporary-practices-hardback-9781316516195","title":"Machine Learning and Data Sciences for Financial Markets; A Guide to Contemporary Practices (Hardback) 9781316516195","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eMachine Learning and Data Sciences for Financial Markets\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eA Guide to Contemporary Practices\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eLearn how cutting-edge AI and data science techniques are integrated in financial markets from leading experts in the industry.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eAgostino Capponi (Edited by), Charles-Albert Lehalle (Edited by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781316516195, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 1 June 2023\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e741 pages\u003cbr\u003e26 x 18.3 x 3.7 cm, 1.67 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'Machine Learning and Data Sciences for Financial Markets: A Guide to Contemporary Practices' comes at a critical time in the financial markets. The amount of machine readable data available to practitioners, the power of the statistical models they can build, and the computational power available to train them keeps growing exponentially. AI and machine learning are increasingly embedded into every aspect of the investing process. The common curriculum, however, both in finance and in applications of machine learning, lags behind. This book provides an excellent and very thorough overview of the state of the art in the field, with contributions by key researchers and practitioners. The monumental work done by the editors and reviewers shows in the wide diversity of current topics covered – from deep learning for solving partial differential equations to transformative breakthroughs in NLP. This book, which I cannot recommend highly enough, will be useful to any practitioner or student who wishes to familiarize themselves with the current state of the art and build their careers and research on a solid foundation.' Gary Kazantsev, Bloomberg and Columbia University\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eLeveraging the research efforts of more than sixty experts in the area, this book reviews cutting-edge practices in machine learning for financial markets. Instead of seeing machine learning as a new field, the authors explore the connection between knowledge developed by quantitative finance over the past forty years and techniques generated by the current revolution driven by data sciences and artificial intelligence. The text is structured around three main areas: 'Interactions with investors and asset owners,' which covers robo-advisors and price formation; 'Risk intermediation,' which discusses derivative hedging, portfolio construction, and machine learning for dynamic optimization; and 'Connections with the real economy,' which explores nowcasting, alternative data, and ethics of algorithms. Accessible to a wide audience, this invaluable resource will allow practitioners to include machine learning driven techniques in their day-to-day quantitative practices, while students will build intuition and come to appreciate the technical tools and motivation for the theory.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eInteracting with Investors and Asset Owners: Part I. Robo-advisors and Automated Recommendation: 1. Introduction to Part I. Robo-advising as a technological platform for optimization and recommendations\u003cbr\u003e 2. New frontiers of robo-advising: consumption, saving, debt management, and taxes\u003cbr\u003e 3. Robo-advising: less AI and more XAI? Augmenting algorithms with humans-in-the-loop\u003cbr\u003e 4. Robo-advisory: from investing principles and algorithms to future developments\u003cbr\u003e 5. Recommender systems for corporate bond trading\u003cbr\u003e Part II. How Learned Flows Form Prices: 6. Introduction to Part II. Price impact: information revelation or self-fulfilling prophecies?\u003cbr\u003e 7. Order flow and price formation\u003cbr\u003e 8. Price formation and learning in equilibrium under asymmetric information\u003cbr\u003e 9. Deciphering how investors' daily flows are forming prices\u003cbr\u003e Towards Better Risk Intermediation: Part III. High Frequency Finance: 10. Introduction to Part III\u003cbr\u003e 11. Reinforcement learning methods in algorithmic trading\u003cbr\u003e 12. Stochastic approximation applied to optimal execution: learning by trading\u003cbr\u003e 13. Reinforcement learning for algorithmic trading\u003cbr\u003e Part IV. Advanced Optimization Techniques: 14. Introduction to Part IV. Advanced optimization techniques for banks and asset managers\u003cbr\u003e 15. Harnessing quantitative finance by data-centric methods\u003cbr\u003e 16. Asset pricing and investment with big data\u003cbr\u003e 17. Portfolio construction using stratified models\u003cbr\u003e Part V. New Frontiers for Stochastic Control in Finance: 18. Introduction to Part V. Machine learning and applied mathematics: a game of hide-and-seek?\u003cbr\u003e 19. The curse of optimality, and how to break it?\u003cbr\u003e 20. Deep learning for mean field games and mean field control with applications to finance\u003cbr\u003e 21. Reinforcement learning for mean field games, with applications to economics\u003cbr\u003e 22. Neural networks-based algorithms for stochastic control and PDEs in finance\u003cbr\u003e 23. Generative adversarial networks: some analytical perspectives\u003cbr\u003e Connections with the Real Economy: Part VI. Nowcasting with Alternative Data: 24. Introduction to Part VI. Nowcasting is coming\u003cbr\u003e 25. Data preselection in machine learning methods: an application to macroeconomic nowcasting with Google search data\u003cbr\u003e 26. Alternative data and ML for macro nowcasting\u003cbr\u003e 27. Nowcasting corporate financials and consumer baskets with alternative data\u003cbr\u003e 28. NLP in finance\u003cbr\u003e 29. The exploitation of recurrent satellite imaging for the fine-scale observation of human activity\u003cbr\u003e Part VII. Biases and Model Risks of Data-Driven Learning: 30. Introduction to Part VII. Towards the ideal mix between data and models\u003cbr\u003e 31. Generative Pricing model complexity: the case for volatility-managed portfolios\u003cbr\u003e 32. Bayesian deep fundamental factor models\u003cbr\u003e 33. Black-box model risk in finance\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46000155427096,"sku":"9781316516195","price":85.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781316516195i.jpg?v=1696681716"},{"product_id":"complex-algebraic-curves-paperback-9780521423533","title":"Complex Algebraic Curves (Paperback) 9780521423533","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eComplex Algebraic Curves\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis book introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eFrances Kirwan (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521423533, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 20 February 1992\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e276 pages\u003cbr\u003e22.9 x 15.3 x 1.8 cm, 0.44 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"At last an introduction to the theory of algebraic curves that is understandable by undergraduates, and that does not shy away from the various aspects of the theory: algebraic, topological, complex analytic, etc. Good bedside reading.\"  Gian-Carlo Rota, The Bulletin of Mathematical Books\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eComplex algebraic curves were developed in the nineteenth century. They have many fascinating properties and crop up in various areas of mathematics, from number theory to theoretical physics, and are the subject of much research. By using only the basic techniques acquired by most undergraduate courses in mathematics, Dr Kirwan introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis. This book grew from a lecture course given by Dr Kirwan at Oxford University and will be an excellent companion for final year undergraduates and graduates who are studying complex algebraic curves.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introduction and background\u003cbr\u003e 2. Foundations\u003cbr\u003e 3. Algebraic properties\u003cbr\u003e 4. Topological properties\u003cbr\u003e 5. Riemann surfaces\u003cbr\u003e 6. Differentials on Riemann surfaces\u003cbr\u003e 7. Singular curves\u003cbr\u003e Appendices.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46000849518872,"sku":"9780521423533","price":45.96,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521423533i_635fb286-5225-468a-bf57-e5ea23840759.jpg?v=1691381487"},{"product_id":"mathematical-methods-and-models-for-economists-paperback-9780521585293","title":"Mathematical Methods and Models for Economists (Paperback) 9780521585293","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eMathematical Methods and Models for Economists\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA textbook for a first-year PhD course in mathematics for economists and a reference for graduate students in economics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eAngel de la Fuente (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521585293, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 28 January 2000\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e848 pages, 224 b\/w illus.\u003cbr\u003e25.5 x 17.7 x 4.1 cm, 1.425 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'… an extensive introduction into the mathematic needed in the field of economics.' Simulation News Europe\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis book is intended as a textbook for a first-year PhD course in mathematics for economists and as a reference for graduate students in economics. It provides a self-contained, rigorous treatment of most of the concepts and techniques required to follow the standard first-year theory sequence in micro and macroeconomics. The topics covered include an introduction to analysis in metric spaces, differential calculus, comparative statics, convexity, static optimization, dynamical systems and dynamic optimization. The book includes a large number of applications to standard economic models and over two hundred fully worked-out problems.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePart I. Preliminaries: 1. Review of basic concepts\u003cbr\u003e 2. Metric and normed spaces\u003cbr\u003e 3. Vector spaces and linear mappings\u003cbr\u003e 4. Differential calculus\u003cbr\u003e Part II. Statics: 5. Static models and comparative statics\u003cbr\u003e 6. Convex sets and concave functions\u003cbr\u003e 7. Static Optimization\u003cbr\u003e 8. Some applications to microeconomics\u003cbr\u003e Part III. Dynamics: 9. Dynamical systems I: basic concepts and scalar systems\u003cbr\u003e 10. Dynamical systems II: higher dimensions\u003cbr\u003e 11. Dynamical systems III: some applications\u003cbr\u003e 12. An introduction to dynamic optimization\u003cbr\u003e 13. Some applications to dynamic optimization\u003cbr\u003e Appendix\u003cbr\u003e Indexes.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46000992354584,"sku":"9780521585293","price":47.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521585293i_e9cf7d7e-0a01-422d-9a8c-9619468fec24.jpg?v=1691370061"},{"product_id":"introduction-to-classical-integrable-systems-paperback-9780521036702","title":"Introduction to Classical Integrable Systems (Paperback \/ softback) 9780521036702","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eIntroduction to Classical Integrable Systems\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA clear and pedagogical introduction to the theory of classical integrable systems and their applications.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eOlivier Babelon (Author), Denis Bernard (Author), Michel Talon (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521036702, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 26 February 2007\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e616 pages, 11 b\/w illus.  3 tables\u003cbr\u003e24.3 x 16.9 x 3.2 cm, 0.959 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'This monograph provides a thorough introduction to the theory of classical integrable systems … The book contains many worked examples and is suitable for use as a textbook on graduate courses. For researchers already working in this field this book is a valuable source of information which provides an excellent overview of the established results and the present developments.' Zentralblatt MATH\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis book provides a thorough introduction to the theory of classical integrable systems, discussing the various approaches to the subject and explaining their interrelations. The book begins by introducing the central ideas of the theory of integrable systems, based on Lax representations, loop groups and Riemann surfaces. These ideas are then illustrated with detailed studies of model systems. The connection between isomonodromic deformation and integrability is discussed, and integrable field theories are covered in detail. The KP, KdV and Toda hierarchies are explained using the notion of Grassmannian, vertex operators and pseudo-differential operators. A chapter is devoted to the inverse scattering method and three complementary chapters cover the necessary mathematical tools from symplectic geometry, Riemann surfaces and Lie algebras. The book contains many worked examples and is suitable for use as a textbook on graduate courses. It also provides a comprehensive reference for researchers already working in the field.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introduction\u003cbr\u003e 2. Integrable dynamical systems\u003cbr\u003e 3. Synopsis of integrable systems\u003cbr\u003e 4. Algebraic methods\u003cbr\u003e 5. Analytical methods\u003cbr\u003e 6. The closed Toda chain\u003cbr\u003e 7. The Calogero-Moser model\u003cbr\u003e 8. Isomonodromic deformations\u003cbr\u003e 9. Grassmannian and integrable hierarchies\u003cbr\u003e 10. The KP hierarchy\u003cbr\u003e 11. The KdV hierarchy\u003cbr\u003e 12. The Toda field theories\u003cbr\u003e 13. Classical inverse scattering method\u003cbr\u003e 14. Symplectic geometry\u003cbr\u003e 15. Riemann surfaces\u003cbr\u003e 16. Lie algebras\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Physics [\u003ca title=\"See our other books on Physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Physics%20%5BPH%5D%22\"\u003ePH\u003c\/a\u003e], Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46000994943256,"sku":"9780521036702","price":85.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521036702i_7284f889-3973-4cf6-bee2-6f569b18f5b4.jpg?v=1694968373"},{"product_id":"an-informal-introduction-to-gauge-field-theories-paperback-9780521039543","title":"An Informal Introduction to Gauge Field Theories (Paperback \/ softback) 9780521039543","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eAn Informal Introduction to Gauge Field Theories\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eIn this short book Dr Aitchison gives an introduction to quantum electrodynamics, a knowledge of which is essential in understanding modern particle physics.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eIan J. R. Aitchison (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521039543, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 27 September 2007\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e188 pages\u003cbr\u003e22.8 x 15.2 x 1.4 cm, 0.293 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'Any thinking theoretical physicist should benefit from reading this book.'  British Book News\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eFour forces are dominant in physics: gravity, electromagnetism and the weak and strong nuclear forces. Quantum electrodynamics - the highly successful theory of the electromagnetic interaction - is a gauge field theory, and it is now believed that the weak and strong forces also can be described by generalizations of this type of theory. In this short book Dr Aitchison gives an introduction to these theories, a knowledge of which is essential in understanding modern particle physics. With the assumption that the reader is already familiar with the rudiments of quantum field theory and Feynman graphs, his aim has been to provide a coherent, self-contained and yet elementary account of the theoretical principles and physical ideas behind gauge field theories.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Introduction and motivations\u003cbr\u003e 2. Symmetries in quantum field theory: I. Manifest\u003cbr\u003e 3. Gauge fields and the gauge principle\u003cbr\u003e 4. Quantisation of vector fields: I. Massless\u003cbr\u003e 5. Quantisation of vector fields: II. Massive\u003cbr\u003e 6. Symmetry in quantum field theory: II. Hidden\u003cbr\u003e 7. Theory of weak and electromagnetic interactions\u003cbr\u003e 8. Renormalisation matters\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46001099571480,"sku":"9780521039543","price":37.85,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521039543_3eb6b5c1-69eb-4380-bc7f-d45b5763b993.jpg?v=1694968546"},{"product_id":"the-life-and-legacy-of-g-i-taylor-hardback-9780521461214","title":"The Life and Legacy of G. I. Taylor (Hardback) 9780521461214","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe Life and Legacy of G. I. Taylor\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA biography of one of the leading scientists of the last century, first published in 1996.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eG. K. Batchelor (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521461214, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 4 July 1996\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e304 pages, 47 b\/w illus.\u003cbr\u003e23.5 x 15.8 x 2.3 cm, 0.698 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003eReview of the hardback: 'I thoroughly recommend this book as a good read for scientists and non- scientists alike.' A. G. Atkins, Endeavour\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eG. I. Taylor was one of the most distinguished physical scientists of the last century, using his deep insight and originality and mathematical skill to increase greatly our understanding of phenomena such as the turbulent flow of fluids. His interest in the science of fluid flow was not confined to theory; he was one of the early pioneers of aeronautics, and designed a new type of anchor, now widely used in small boats throughout the world, that came about through his passion for sailing. Taylor spent most of his working life in the Cavendish Laboratory in Cambridge, where he investigated the mechanics of fluid and solid materials; his discoveries and ideas have had application throughout mechanical, civil and chemical  engineering, meteorology, oceanography and material science. He was also a noted research leader, and his group in Cambridge became one of the most  productive  centres for the study of fluid mechanics. How was Taylor able to be innovative in so many different ways? This interesting and unusual mix of science and biography, first published in 1996, helps us to answer that question.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Chronology\u003cbr\u003e 1. An introduction to G. I. Taylor\u003cbr\u003e 2. Taylor's family\u003cbr\u003e 3. Childhood, school and university\u003cbr\u003e 4. First steps in research\u003cbr\u003e 5. The Scotia expedition\u003cbr\u003e 6. Participation in the birth of aeronautics\u003cbr\u003e 7. Return to Cambridge after World War I\u003cbr\u003e 8. Sailing\u003cbr\u003e 9. The golden years as Yarrow Research Prof. between the wars\u003cbr\u003e 10. Tour in the Far East\u003cbr\u003e 11. Plasticity of crystalline materials\u003cbr\u003e 12. Turbulence: a challenge\u003cbr\u003e 13. Taylor's foreign peers in mechanics\u003cbr\u003e 14. The universal defence consultant during World War II\u003cbr\u003e 15. The aftermath of Taylor's war work\u003cbr\u003e 16. The second golden period 1951–72\u003cbr\u003e 17. The closing years\u003cbr\u003e 18. The scientific legacy of G. I. Taylor\u003cbr\u003e Appendix A. An applied mathematician's apology\u003cbr\u003e Appendix B. G. I. Taylor: Honours\u003cbr\u003e Appendix C. Articles about G. I. Taylor\u003cbr\u003e Appendix D. Bibliography of works by G. I. Taylor\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Fluid mechanics [\u003ca title=\"See our other books on Fluid mechanics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Fluid%20mechanics%20%5BPHDF%5D%22\"\u003ePHDF\u003c\/a\u003e], Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46001131749656,"sku":"9780521461214","price":120.69,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521461214i_8e303bb0-0f03-4278-900b-bcae237d0da3.jpg?v=1691382426"},{"product_id":"elements-of-the-random-walk-an-introduction-for-advanced-students-and-researchers-paperback-9780521535830","title":"Elements of the Random Walk; An introduction for Advanced Students and Researchers (Paperback) 9780521535830","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eElements of the Random Walk\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eAn introduction for Advanced Students and Researchers\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eA self-contained introduction to the applications of random walk techniques.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJoseph Rudnick (Author), George Gaspari (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521535830, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 25 March 2010\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e348 pages\u003cbr\u003e24.4 x 17 x 1.8 cm, 0.55 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003eReview of the hardback: '… an excellent introduction to emerging topics such as fractals, scaling and path integrals.' International Statistical Institute\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eRandom walks have proven to be a useful model in understanding processes across a wide spectrum of scientific disciplines. Elements of the Random Walk is an introduction to some of the most powerful and general techniques used in the application of these ideas. The mathematical construct that runs through the analysis of the topics covered in this book, unifying the mathematical treatment, is the generating function. Although the reader is introduced to analytical tools, such as path-integrals and field-theoretical formalism, the book is self-contained in that basic concepts are developed and relevant fundamental findings fully discussed. Mathematical background is provided in supplements at the end of each chapter, when appropriate. This text will appeal to graduate students across science, engineering and mathematics who need to understand the applications of random walk techniques, as well as to established researchers.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Introduction to techniques\u003cbr\u003e 2. Generating functions I\u003cbr\u003e 3. Generating functions II: recurrence, sites visited, and the role of dimensionality\u003cbr\u003e 4. Boundary conditions, steady state, and the electrostatic analogy\u003cbr\u003e 5. Variations on the random walk\u003cbr\u003e 6. The shape of a random walk\u003cbr\u003e 7. Path integrals and self-avoidance\u003cbr\u003e 8. Properties of the random walk: introduction to scaling\u003cbr\u003e 9. Scaling of walks and critical phenomena\u003cbr\u003e 10. Walks and the O(n) model: mean field theory and spin waves\u003cbr\u003e 11. Scaling, fractals, and renormalization\u003cbr\u003e 12. More on the renormalization group\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Earth sciences [\u003ca title=\"See our other books on Earth sciences\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Earth%20sciences%20%5BRB%5D%22\"\u003eRB\u003c\/a\u003e], Molecular biology [\u003ca title=\"See our other books on Molecular biology\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Molecular%20biology%20%5BPSD%5D%22\"\u003ePSD\u003c\/a\u003e], Physical chemistry [\u003ca title=\"See our other books on Physical chemistry\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Physical%20chemistry%20%5BPNR%5D%22\"\u003ePNR\u003c\/a\u003e], Condensed matter physics [\u003ca title=\"See our other books on Condensed matter physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Condensed%20matter%20physics%20%5Bliquid%20state%20\u0026amp;%20solid%20state%20physics%5D%20%5BPHFC%5D%22\"\u003eliquid state \u0026amp; solid state physics PHFC\u003c\/a\u003e], Physics [\u003ca title=\"See our other books on Physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Physics%20%5BPH%5D%22\"\u003ePH\u003c\/a\u003e], Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46001353752856,"sku":"9780521535830","price":44.19,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521535830i_93a5113c-2d8a-4958-a30d-71cdd758ed96.jpg?v=1691369260"},{"product_id":"a-first-course-in-fluid-dynamics-paperback-9780521274241","title":"A First Course in Fluid Dynamics (Paperback) 9780521274241","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eA First Course in Fluid Dynamics\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis book introduces the subject of fluid dynamics from the first principles.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eA. R. Paterson (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521274241, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 10 November 1983\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e540 pages\u003cbr\u003e22.9 x 15.2 x 3.1 cm, 0.79 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"It is interesting to browse through the book and see from the selection and arrangement of the material the skeleton of an interesting course evolving...\"   Physics in Canada\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eHow can the drag coefficient of a car be reduced? What factors govern the variation in the shape of the Earth's magnetosphere? What is the basis of weather prediction? These are examples of problems that can only be tackled with a sound knowledge of the principles and methods of fluid dynamics. This important discipline has applications which range from the study of the large-scale properties of the galaxies to the design of high precision engineering components. This book introduces the subject of fluid dynamics from the first principles. The first eleven chapters cover all the basic ideas of fluid mechanics, explaining carefully the modelling and mathematics needed. The last six chapters illustrate applications of this material to linearised sound and water waves, to high speed flow of air, to non-linear water waves on channels, and to aerofoil theory. Over 350 diagrams have been used to illustrate key points. Exercises are included to help develop and reinforce the reader's understanding of the material presented. References at the ends of each chapter serve not only to guide readers to more detailed texts, but also list where alternative descriptions of the salient points in the chapter may be found. This book is an undergraduate text for second or third year students of mathematics or mathematical physics, who are taking a first course in fluid dynamics.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Introduction\u003cbr\u003e 1. Mathematical preliminaries\u003cbr\u003e 2. Physical preliminaries\u003cbr\u003e 3. Observational preliminaries\u003cbr\u003e 4. Massconservation and stream functions\u003cbr\u003e 5. Vorticity\u003cbr\u003e 6. Hydrostatics\u003cbr\u003e 7. Thermodynamics\u003cbr\u003e 8. The equation of motion\u003cbr\u003e 9. Solutions of the Navier-Stokes equations\u003cbr\u003e 10. Inviscid flow\u003cbr\u003e 11. Potential theory\u003cbr\u003e 12. Sound waves in fluids\u003cbr\u003e 13. Water waves\u003cbr\u003e 14. High speed flow of air\u003cbr\u003e 15. Steady surface waves in channels\u003cbr\u003e 16. The complex potential\u003cbr\u003e 17. Conformal mappings and aerofoils\u003cbr\u003e Hints for exercises\u003cbr\u003e Answers for exercises\u003cbr\u003e Books for reference\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46001432264984,"sku":"9780521274241","price":61.59,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521274241i_7e6e5cc5-eae6-4cd5-8bf3-a33741456f60.jpg?v=1691374343"},{"product_id":"weather-derivative-valuation-the-meteorological-statistical-financial-and-mathematical-foundations-paperback-9780521142281","title":"Weather Derivative Valuation; The Meteorological, Statistical, Financial and Mathematical Foundations (Paperback) 9780521142281","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eWeather Derivative Valuation\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eThe Meteorological, Statistical, Financial and Mathematical Foundations\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eThis book, first published in 2005, covers meteorological, statistical, financial and mathematical issues arising in the pricing and risk management of weather derivatives.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eStephen Jewson (Author), Anders Brix (Author), Christine Ziehmann (Contributions by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521142281, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 10 June 2010\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e392 pages\u003cbr\u003e24.4 x 17 x 2 cm, 0.62 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003eReview of the hardback: 'The book covers all of the latest topics in weather derivative pricing, valuation and risk management in a way that is rigorous, and yet also accessible to the non-mathematician. Highly recommended for all involved in weather derivatives, whether they are hedgers, traders, investors, marketers or risk managers.' Martin Jones, Chief Investment Officer, Coriolis Capital Limited\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eOriginally published in 2005, Weather Derivative Valuation covers all the meteorological, statistical, financial and mathematical issues that arise in the pricing and risk management of weather derivatives. There are chapters on meteorological data and data cleaning, the modelling and pricing of single weather derivatives, the modelling and valuation of portfolios, the use of weather and seasonal forecasts in the pricing of weather derivatives, arbitrage pricing for weather derivatives, risk management, and the modelling of temperature, wind and precipitation. Specific issues covered in detail include the analysis of uncertainty in weather derivative pricing, time-series modelling of daily temperatures, the creation and use of probabilistic meteorological forecasts and the derivation of the weather derivative version of the Black-Scholes equation of mathematical finance. Written by consultants who work within the weather derivative industry, this book is packed with practical information and theoretical insight into the world of weather derivative pricing.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eList of figures\u003cbr\u003e List of tables\u003cbr\u003e Acknowledgements\u003cbr\u003e 1. Weather derivatives and the weather derivatives market\u003cbr\u003e 2. Data cleaning and trends\u003cbr\u003e 3. The valuation of single contracts using burn analysis\u003cbr\u003e 4. The valuation of single contracts using index modelling\u003cbr\u003e 5. Further topics in the valuation of single contracts\u003cbr\u003e 6. Valuation of single contracts using daily methods\u003cbr\u003e 7. Modelling portfolios\u003cbr\u003e 8. Managing portfolios\u003cbr\u003e 9. Introduction to meteorological forecasts\u003cbr\u003e 10. The use of meteorological forecasts in pricing\u003cbr\u003e 11. Arbitrage pricing models\u003cbr\u003e 12. Risk management\u003cbr\u003e 13. Modelling non-temperature data\u003cbr\u003e Appendices\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Meteorology \u0026amp; climatology [\u003ca title=\"See our other books on Meteorology \u0026amp; climatology\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Meteorology%20\u0026amp;%20climatology%20%5BRBP%5D%22\"\u003eRBP\u003c\/a\u003e], Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e], Finance \u0026amp; accounting [\u003ca title=\"See our other books on Finance \u0026amp; accounting\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Finance%20\u0026amp;%20accounting%20%5BKF%5D%22\"\u003eKF\u003c\/a\u003e], Economic statistics [\u003ca title=\"See our other books on Economic statistics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Economic%20statistics%20%5BKCHS%5D%22\"\u003eKCHS\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46001439310104,"sku":"9780521142281","price":42.67,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521142281i_9997c36f-f120-472d-b690-179c6b708832.jpg?v=1691372360"},{"product_id":"microeconometrics-methods-and-applications-hardback-9780521848053","title":"Microeconometrics; Methods and Applications (Hardback) 9780521848053","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eMicroeconometrics\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eMethods and Applications\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eThis text is the most comprehensive work to date on microeconometrics, its methods and applications.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eA. Colin Cameron (Author), Pravin K. Trivedi (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521848053, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 9 May 2005\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1056 pages, 43 b\/w illus.  101 tables\u003cbr\u003e26.3 x 18.5 x 4.4 cm, 1.78 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'… it is well organised and well written … the authors are to be congratulated on this sure-footed addition to the econometrics literature.' The Times Higher Education Supplement\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis book provides the most comprehensive treatment to date of microeconometrics, the analysis of individual-level data on the economic behavior of individuals or firms using regression methods for cross section and panel data. The book is oriented to the practitioner. A basic understanding of the linear regression model with matrix algebra is assumed. The text can be used for a microeconometrics course, typically a second-year economics PhD course; for data-oriented applied microeconometrics field courses; and as a reference work for graduate students and applied researchers who wish to fill in gaps in their toolkit. Distinguishing features of the book include emphasis on nonlinear models and robust inference, simulation-based estimation, and problems of complex survey data. The book makes frequent use of numerical examples based on generated data to illustrate the key models and methods. More substantially, it systematically integrates into the text empirical illustrations based on seven large and exceptionally rich data sets.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introduction\u003cbr\u003e 2. Causal and non-causal models\u003cbr\u003e 3. Microeconomic data structures\u003cbr\u003e 4. Linear models\u003cbr\u003e 5. ML and NLS estimation\u003cbr\u003e 6. GMM and systems estimation\u003cbr\u003e 7. Hypothesis tests\u003cbr\u003e 8. Specification tests and model selection\u003cbr\u003e 9. Semiparametric methods\u003cbr\u003e 10. Numerical optimization\u003cbr\u003e 11. Bootstrap methods\u003cbr\u003e 12. Simulation-based methods\u003cbr\u003e 13. Bayesian methods\u003cbr\u003e 14. Binary outcome models\u003cbr\u003e 15. Multinomial models\u003cbr\u003e 16. Tobit and selection models\u003cbr\u003e 17. Transition data: survival analysis\u003cbr\u003e 18. Mixture models and unobserved heterogeneity\u003cbr\u003e 19. Models of multiple hazards\u003cbr\u003e 20. Models of count data\u003cbr\u003e 21. Linear panel models: basics\u003cbr\u003e 22. Linear panel models: extensions\u003cbr\u003e 23. Nonlinear panel models\u003cbr\u003e 24. Stratified and clustered samples\u003cbr\u003e 25. Treatment evaluation\u003cbr\u003e 26. Measurement error models\u003cbr\u003e 27. Missing data and imputation\u003cbr\u003e A. Asymptotic theory\u003cbr\u003e B. Making pseudo-random draw.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e], Economic statistics [\u003ca title=\"See our other books on Economic statistics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Economic%20statistics%20%5BKCHS%5D%22\"\u003eKCHS\u003c\/a\u003e], Econometrics [\u003ca title=\"See our other books on Econometrics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Econometrics%20%5BKCH%5D%22\"\u003eKCH\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46001449107736,"sku":"9780521848053","price":64.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521848053i_ef1a80e8-f97b-4dce-98de-2ae68716f7e0.jpg?v=1691368783"},{"product_id":"cosmology-and-astrophysics-through-problems-paperback-9780521467834","title":"Cosmology and Astrophysics through Problems (Paperback) 9780521467834","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eCosmology and Astrophysics through Problems\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eAn innovative textbook that provides a unique approach to beginning research in cosmology and high energy astrophysics through a series of problems and answers.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eT. Padmanabhan (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521467834, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 19 September 1996\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e516 pages, 33 b\/w illus.  3 tables  145 exercises\u003cbr\u003e23.4 x 18.8 x 3 cm, 0.88 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003eReviews from Padmanabhan's previous book: 'Padmanabhan has written an invaluable exposition from first physical principles of almost all the things that a new  graduate student embarking upon research in theoretical cosmology needs to know … Overall I found Padmanabhan's book to be an extremely useful working text.' The Times Higher Education Supplement\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eModern cosmology and high energy astrophysics have become interdisciplinary research subjects and new graduate students are now expected to assimilate a broad range of physical concepts. This innovative book provides a clear and pedagogical introduction to research in these areas through a series of problems and answers. The problems are designed to develop each core topic in a simple and coherent way and full solutions are provided to make this book completely self-contained. The first half of the book covers the core subjects of astrophysical processes, gravitational dynamics, radiative processes, fluid mechanics and general relativity. The second half uses these concepts to develop modern cosmology: topics include the Friedmann model and thermal history, dynamics of dark matter and baryons in an expanding universe, physics of high-redshift objects and the very early universe. This unique self-study textbook will be of key interest to graduate students and researchers in cosmology, astrophysics, relativity and theoretical physics. It is particularly well suited to graduate-level courses.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 'How to use this book'\u003cbr\u003e Part I. 1. Astrophysical processes\u003cbr\u003e 2. Dynamics and gravity\u003cbr\u003e 3. Fluid mechanics\u003cbr\u003e 4. Radiation processes\u003cbr\u003e 5. General relativity\u003cbr\u003e Part II. 6. Friedmann model and thermal history\u003cbr\u003e 7. Dynamics in the expanding universe\u003cbr\u003e 8. Structure formation\u003cbr\u003e 9. High redshift objects\u003cbr\u003e 10. Very early universe\u003cbr\u003e 11. Advanced problems\u003cbr\u003e Useful constants\u003cbr\u003e Notes and references\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Astrophysics [\u003ca title=\"See our other books on Astrophysics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Astrophysics%20%5BPHVB%5D%22\"\u003ePHVB\u003c\/a\u003e], Cosmology \u0026amp; the universe [\u003ca title=\"See our other books on Cosmology \u0026amp; the universe\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Cosmology%20\u0026amp;%20the%20universe%20%5BPGK%5D%22\"\u003ePGK\u003c\/a\u003e], Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46001465688344,"sku":"9780521467834","price":59.59,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521467834i_7b74ad18-893b-40aa-8999-2ca0e20d39ff.jpg?v=1691382619"},{"product_id":"perturbation-methods-paperback-9780521378970","title":"Perturbation Methods (Paperback) 9780521378970","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003ePerturbation Methods\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA textbook presenting the theory and underlying techniques of perturbation methods in a manner suitable for senior undergraduates from a broad range of disciplines.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eE. J. Hinch (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521378970, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 25 October 1991\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e176 pages\u003cbr\u003e23.3 x 15.4 x 1.1 cm, 0.27 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'A nice and readable introduction.' Monatshefte für Mathematik\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003ePerturbation methods are one of the fundamental tools used by all applied mathematicians and theoretical physicists. In this book, the author has managed to present the theory and techniques underlying such methods in a manner which will give the text wide appeal to students from a broad range of disciplines. Asymptotic expansions, strained coordinates and multiple scales are illustrated by copious use of examples drawn from all areas of applied mathematics and theoretical physics. The philosophy adopted is that there is no single or best method for such problems, but that one may exploit the small parameter given some experience and understanding of similar perturbation problems. The author does not look to perturbation methods to give quantitative answers but rather to give a physical understanding of the subtle balances in a complex problem.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Algebraic equations\u003cbr\u003e 2. Asymptotic expansions\u003cbr\u003e 3. Integrals\u003cbr\u003e 4. Regular problems in PDEs\u003cbr\u003e 5. Matched asymptotic expansions\u003cbr\u003e 6. Method of strained coordinates\u003cbr\u003e 7. Method of multiple scales\u003cbr\u003e 8. Improved convergence\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46001510711576,"sku":"9780521378970","price":40.39,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521378970i_e78251f9-3d77-4de8-ae22-62bb2b50ddee.jpg?v=1691376069"},{"product_id":"the-mathematical-theory-of-non-uniform-gases-an-account-of-the-kinetic-theory-of-viscosity-thermal-conduction-and-diffusion-in-gases-paperback-9780521408448","title":"The Mathematical Theory of Non-uniform Gases; An Account of the Kinetic Theory of Viscosity, Thermal Conduction and Diffusion in Gases (Paperback) 9780521408448","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe Mathematical Theory of Non-uniform Gases\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eAn Account of the Kinetic Theory of Viscosity, Thermal Conduction and Diffusion in Gases\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eSydney Chapman (Author), T. G. Cowling (Author), C. Cercignani (Foreword by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521408448, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 25 January 1991\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e448 pages\u003cbr\u003e23.1 x 15.4 x 2.8 cm, 0.66 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis classic book, now re-issued in paperback, presents a detailed account of the mathematical theory of viscosity, thermal conduction and diffusion in non-uniform gases based on the solution of the Maxwell–Boltzmann equations. The theory of Chapman and Enskog, describing work on dense gases, quantum theory of collisions and the theory of conduction and diffusion in ionized gases in the presence of electric and magnetic fields, is extended in the later chapters. The third edition was first published in 1970 and included revisions to take account of extensions of the theory to fresh molecular models and of new methods used in discussing dense gases and plasmas. This reprint will therefore be of value to mathematicians, theoretical physicists and chemical engineers interested in gas theory and its applications.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eForeword\u003cbr\u003e Introduction\u003cbr\u003e 1. Vectors and tensors\u003cbr\u003e 2. Properties of a gas: definitions and theorems\u003cbr\u003e 3. The equations of Boltzmann and Maxwell\u003cbr\u003e 4. Boltzmann's H-theorem and the Maxwellian velocity-distribution\u003cbr\u003e 5. The free path, the collision-frequency and persistence of velocities\u003cbr\u003e 6. Elementary theories of the transport phenomena\u003cbr\u003e 7. The non-uniform state for a simple gas\u003cbr\u003e 8. The non-uniform state for a binary gas-mixture\u003cbr\u003e 9. Viscosity, thermal conduction, and diffusion: general expressions\u003cbr\u003e 10. Viscosity, thermal conduction, and diffusion: theoretical formulae for special molecular models\u003cbr\u003e 11. Molecules with internal energy\u003cbr\u003e 12\u003cbr\u003e Viscosity: comparison of theory with experiment\u003cbr\u003e 13. Thermal conductivity: comparison of theory with experiment\u003cbr\u003e 14. Diffusion: comparison of theory with experiment\u003cbr\u003e 15. The third approximation to the velocity-distribution function\u003cbr\u003e 16. Dense gases\u003cbr\u003e 17. Quantum theory and the transport phenomena\u003cbr\u003e 18. Multiple gas mixtures\u003cbr\u003e 19. Electromagnetic phenomena in ionized gases\u003cbr\u003e Historical summary\u003cbr\u003e Name index\u003cbr\u003e Subject index\u003cbr\u003e References to numerical data for particular gases (simple and mixed).\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46001650368792,"sku":"9780521408448","price":80.69,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521408448i_1b36b8d6-b7ba-439f-bc01-0e10ee63ea4a.jpg?v=1691381246"},{"product_id":"inverse-problems-in-atmospheric-constituent-transport-paperback-9780521018081","title":"Inverse Problems in Atmospheric Constituent Transport (Paperback) 9780521018081","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eInverse Problems in Atmospheric Constituent Transport\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA description of the mathematical techniques used to interpret greenhouse gas sources and sinks.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eI. G. Enting (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521018081, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 22 August 2005\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e412 pages, 54 b\/w illus.  12 tables\u003cbr\u003e25.5 x 17.8 x 2.4 cm, 0.999 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe critical role of trace gases in global atmospheric change makes an improved understanding of these gases imperative. Measurements of the distributions of these gases in space and time provide important information, but the interpretation of this information often involves ill-conditioned model inversions. A variety of techniques have therefore been developed to analyze these problems. Inverse Problems in Atmospheric Constituent Transport is the first book to give comprehensive coverage of work on this topic. The trace gas inversion problem is presented in general terms and the various different approaches are unified by treating the inversion problem as one of statistical estimation. Later chapters demonstrate the application of these methods to studies of carbon dioxide, methane, halocarbons and other gases implicated in global climate change. This book is aimed at graduate students and researchers embarking upon studies of global atmospheric change, biogeochemical cycles and Earth systems science.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePart I. Principles: 1. Introduction\u003cbr\u003e 2. Atmospheric transport and transport models\u003cbr\u003e 3. Estimation\u003cbr\u003e 4. Time series estimation\u003cbr\u003e 5. Observations of atmospheric composition\u003cbr\u003e 6. The sources and sinks\u003cbr\u003e 7. Problem formulation\u003cbr\u003e 8. Ill-conditioning\u003cbr\u003e 9. Analysis of model error\u003cbr\u003e 10. Green's functions and synthesis inversion\u003cbr\u003e 11. Time-stepping inversions\u003cbr\u003e 12. Non-linear inversion techniques\u003cbr\u003e 13. Experimental design\u003cbr\u003e Part II. Recent Applications: 14. Global carbon dioxide\u003cbr\u003e 15. Global methane\u003cbr\u003e 16. Halocarbons and other global-scale studies\u003cbr\u003e 17. Regional inversions\u003cbr\u003e 18. Constraining atmospheric transport\u003cbr\u003e 19. Conclusions\u003cbr\u003e References\u003cbr\u003e Appendix A. Notation\u003cbr\u003e Appendix B. Numerical data\u003cbr\u003e Appendix C. Abbreviations and acronyms\u003cbr\u003e Appendix D. Glossary\u003cbr\u003e Appendix E. Data source acknowledgements\u003cbr\u003e Problems.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Environmental science, engineering \u0026amp; technology [\u003ca title=\"See our other books on Environmental science, engineering \u0026amp; technology\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Environmental%20science,%20engineering%20\u0026amp;%20technology%20%5BTQ%5D%22\"\u003eTQ\u003c\/a\u003e], Atmospheric physics [\u003ca title=\"See our other books on Atmospheric physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Atmospheric%20physics%20%5BPHVJ%5D%22\"\u003ePHVJ\u003c\/a\u003e], Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46001665474840,"sku":"9780521018081","price":71.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521018081i_fad9b4ce-6b10-42e3-83f8-64af972d034c.jpg?v=1691376764"},{"product_id":"atmospheric-modeling-data-assimilation-and-predictability-paperback-9780521796293","title":"Atmospheric Modeling, Data Assimilation and Predictability (Paperback) 9780521796293","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eAtmospheric Modeling, Data Assimilation and Predictability\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis book, first published in 2002, is a graduate-level text on numerical weather prediction, including atmospheric modeling, data assimilation and predictability.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eEugenia Kalnay (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521796293, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 7 November 2002\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e368 pages, 86 b\/w illus.  4 tables\u003cbr\u003e24.6 x 17.3 x 2.3 cm, 0.82 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'… this book … is extremely useful, informative, and well-written … there are many instances where items that were only marginally familiar beforehand have now become very clear.' Brian O. Blanton, Senior Scientist\/Oceanographer, University of North Carolina, Chapel Hill\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis comprehensive text and reference work on numerical weather prediction, first published in 2002, covers not only methods for numerical modeling, but also the important related areas of data assimilation and predictability. It incorporates all aspects of environmental computer modeling including an historical overview of the subject, equations of motion and their approximations, a modern and clear description of numerical methods, and the determination of initial conditions using weather observations (an important science known as data assimilation). Finally, this book provides a clear discussion of the problems of predictability and chaos in dynamical systems and how they can be applied to atmospheric and oceanic systems. Professors and students in meteorology, atmospheric science, oceanography, hydrology and environmental science will find much to interest them in this book, which can also form the basis of one or more graduate-level courses.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Historical overview\u003cbr\u003e 2. The continuous equations\u003cbr\u003e 3. Discretization of the equations\u003cbr\u003e 4. Introduction to the parameterizations of subgrid-scale physical processes\u003cbr\u003e 5. Data assimilation\u003cbr\u003e 6. Atmospheric predictability and ensemble forecasting\u003cbr\u003e References\u003cbr\u003e Appendix A. The early history of numerical weather prediction\u003cbr\u003e Appendix B. List of acronyms\u003cbr\u003e Appendix C. Coding and checking the linear tangent and adjoint models\u003cbr\u003e Appendix D. Post processing of numerical model output to obtain station weather forecasts.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Meteorology \u0026amp; climatology [\u003ca title=\"See our other books on Meteorology \u0026amp; climatology\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Meteorology%20\u0026amp;%20climatology%20%5BRBP%5D%22\"\u003eRBP\u003c\/a\u003e], Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46001679171864,"sku":"9780521796293","price":47.79,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521796293i_d4a41a2d-bc24-43cd-96b2-c425ae1152b6.jpg?v=1691368135"},{"product_id":"building-scientific-apparatus-hardback-9780521878586","title":"Building Scientific Apparatus (Hardback) 9780521878586","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eBuilding Scientific Apparatus\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eAn essential step-by-step guide on the construction of scientific apparatus for all scientists and students in physics, chemistry, biology and engineering.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJohn H. Moore (Author), Christopher C. Davis (Author), Michael A. Coplan (Author), Sandra C. Greer (Contributions by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521878586, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 25 June 2009\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e658 pages\u003cbr\u003e24.2 x 21.7 x 3.5 cm, 1.68 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'… a fascinating and extremely useful reference work. Anyone who works with scientific apparatus will benefit from this book, undergraduate students, professors, technicians and postdocs. If you do not have one already, buy one now!' Contemporary Physics\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eUnrivalled in its coverage and unique in its hands-on approach, this guide to the design and construction of scientific apparatus is essential reading for every scientist and student of engineering, and physical, chemical, and biological sciences. Covering the physical principles governing the operation of the mechanical, optical and electronic parts of an instrument, new sections on detectors, low-temperature measurements, high-pressure apparatus, and updated engineering specifications, as well as 400 figures and tables, have been added to this edition. Data on the properties of materials and components used by manufacturers are included. Mechanical, optical, and electronic construction techniques carried out in the lab, as well as those let out to specialized shops, are also described. Step-by-step instruction supported by many detailed figures, is given for laboratory skills such as soldering electrical components, glassblowing, brazing, and polishing.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Mechanical design and fabrication\u003cbr\u003e 2. Working with glass\u003cbr\u003e 3. Vacuum technology\u003cbr\u003e 4. Optical systems\u003cbr\u003e 5. Charged-particle optics\u003cbr\u003e 6. Electronics\u003cbr\u003e 7. Detectors\u003cbr\u003e 8. Measurement and control of temperature\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Engineering: general [\u003ca title=\"See our other books on Engineering: general\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Engineering:%20general%20%5BTBC%5D%22\"\u003eTBC\u003c\/a\u003e], Biology, life sciences [\u003ca title=\"See our other books on Biology, life sciences\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Biology,%20life%20sciences%20%5BPS%5D%22\"\u003ePS\u003c\/a\u003e], Chemistry [\u003ca title=\"See our other books on Chemistry\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Chemistry%20%5BPN%5D%22\"\u003ePN\u003c\/a\u003e], Physics [\u003ca title=\"See our other books on Physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Physics%20%5BPH%5D%22\"\u003ePH\u003c\/a\u003e], Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46001705287960,"sku":"9780521878586","price":103.79,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521878586i_14c3c2de-fde5-4721-a122-359bdd690f03.jpg?v=1691358766"},{"product_id":"understanding-maple-paperback-9781316628140","title":"Understanding Maple (Paperback \/ softback) 9781316628140","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eUnderstanding Maple\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis book explains the key features of Maple, with a focus on showing how things work, and how to avoid common problems.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eIan Thompson (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781316628140, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 14 November 2016\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e235 pages, 6 b\/w illus.\u003cbr\u003e21.5 x 13.7 x 1.2 cm, 0.33 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'Thompson (Univ. of Liverpool, UK) clearly knows the 'gotchas' that most often plague beginners (and others!) and provides pointed guidance; extracting the same vital information buried in longer and more systematic treatises and manuals can certainly prove a challenge. Summing Up: Recommended. Lower-division undergraduates and above; faculty and professionals.' D. V. Feldman, CHOICE\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eMaple is a powerful symbolic computation system that is widely used in universities around the world. This short introduction gives readers an insight into the rules that control how the system works, and how to understand, fix, and avoid common problems. Topics covered include algebra, calculus, linear algebra, graphics, programming, and procedures. Each chapter contains numerous illustrative examples, using mathematics that does not extend beyond first-year undergraduate material. Maple worksheets containing these examples are available for download from the author's personal website. The book is suitable for new users, but where advanced topics are central to understanding Maple they are tackled head-on. Many concepts which are absent from introductory books and manuals are described in detail. With this book, students, teachers and researchers will gain a solid understanding of Maple and how to use it to solve complex mathematical problems in a simple and efficient way.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introduction\u003cbr\u003e 2. Getting started\u003cbr\u003e 3. Algebra and calculus\u003cbr\u003e 4. Solving equations\u003cbr\u003e 5. Linear algebra\u003cbr\u003e 6. Graphics\u003cbr\u003e 7. Programming\u003cbr\u003e 8. Procedures\u003cbr\u003e 9. Example programs\u003cbr\u003e Appendix A. Other ways to run Maple\u003cbr\u003e Appendix B. Terminating characters\u003cbr\u003e Index of Maple notation.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical \u0026amp; statistical software [\u003ca title=\"See our other books on Mathematical \u0026amp; statistical software\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20\u0026amp;%20statistical%20software%20%5BUFM%5D%22\"\u003eUFM\u003c\/a\u003e], Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46001767579928,"sku":"9781316628140","price":20.39,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781316628140i.jpg?v=1696708713"},{"product_id":"the-mathematics-of-projectiles-in-sport-paperback-9780521398572","title":"The Mathematics of Projectiles in Sport (Paperback) 9780521398572","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe Mathematics of Projectiles in Sport\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eNeville de Mestre (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521398572, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 19 April 1990\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e188 pages\u003cbr\u003e22.9 x 15.3 x 1.2 cm, 0.28 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"...an interesting book that presents some difficult material in a terse but readable style.\"   Richard C. Roberts, Journal of College Science Teaching\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe mathematical theory underlying many sporting activities is of considerable interest to both applied mathematicians and sporting enthusiasts alike. Here Professor de Mestre presents a rigorous account of the techniques applied to the motion of projectiles. This equips the reader for the final section of the book in which an enlightening collection of sporting applications is considered, ranging from soccer to table-tennis and high-jump to frisbees. The presentation should be accessible to most undergraduate science students and provides an ideal setting for the development of mathematical modelling techniques.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Motion under gravity alone\u003cbr\u003e 2. Motion in a linear resisting medium\u003cbr\u003e 3. Motion in a non-linear resisting medium\u003cbr\u003e 4. The basic equations and their numerical solution\u003cbr\u003e 5. Small drag or small gravity\u003cbr\u003e 6. Corrections due to other effects\u003cbr\u003e 7. Spin effects\u003cbr\u003e 8. Projectiles in sport and recreation\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46001770791192,"sku":"9780521398572","price":42.39,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521398572i_0715df3e-2176-4f6d-881d-8722a44da695.jpg?v=1691381096"},{"product_id":"an-introduction-to-groups-and-their-matrices-for-science-students-hardback-9781108831086","title":"An Introduction to Groups and their Matrices for Science Students (Hardback) 9781108831086","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eAn Introduction to Groups and their Matrices for Science Students\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis text for advanced undergraduates develops group theory from triangle symmetry to particle physics, supported by examples from research.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eRobert Kolenkow (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781108831086, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 2 June 2022\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e360 pages\u003cbr\u003e26.2 x 18.5 x 2.3 cm, 0.81 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eGroup theory, originating from algebraic structures in mathematics, has long been a powerful tool in many areas of physics, chemistry and other applied sciences, but it has seldom been covered in a manner accessible to undergraduates. This book from renowned educator Robert Kolenkow introduces group theory and its applications starting with simple ideas of symmetry, through quantum numbers, and working up to particle physics. It features clear explanations, accompanying problems and exercises, and numerous worked examples from experimental research in the physical sciences. Beginning with key concepts and necessary theorems, topics are introduced systematically including: molecular vibrations and lattice symmetries; matrix mechanics; wave mechanics; rotation and quantum angular momentum; atomic structure; and finally particle physics. This comprehensive primer on group theory is ideal for advanced undergraduate topics courses, reading groups, or self-study, and it will help prepare graduate students for higher-level courses.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Fundamental concepts\u003cbr\u003e 2. Matrix representations of discrete groups\u003cbr\u003e 3. Molecular vibrations\u003cbr\u003e 4. Crystalline solids\u003cbr\u003e 5. Bohr's quantum theory and matrix mechanics\u003cbr\u003e 6. Wave mechanics, measurement, and entanglement\u003cbr\u003e 7. Rotation\u003cbr\u003e 8. Quantum angular momentum\u003cbr\u003e 9. The structure of atoms\u003cbr\u003e 10. Particle physics. Appendices.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Physics [\u003ca title=\"See our other books on Physics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Physics%20%5BPH%5D%22\"\u003ePH\u003c\/a\u003e], Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e], Algebra [\u003ca title=\"See our other books on Algebra\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Algebra%20%5BPBF%5D%22\"\u003ePBF\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46001778786584,"sku":"9781108831086","price":41.19,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781108831086i.jpg?v=1696727068"},{"product_id":"an-elementary-introduction-to-mathematical-finance-hardback-9780521192538","title":"An Elementary Introduction to Mathematical Finance (Hardback) 9780521192538","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eAn Elementary Introduction to Mathematical Finance\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThe third edition of a textbook on the basics of option pricing designed for both professional traders and undergraduates studying the basics of finance.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eSheldon M. Ross (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521192538, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 28 February 2011\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e322 pages, 19 b\/w illus.  9 tables  175 exercises\u003cbr\u003e23.1 x 15.7 x 2.3 cm, 0.61 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'… provides an accessible and relatively deep insight into basic and advanced topics of mathematical finance … The lucid style of the exposition will be appreciated by readers interested in the topic, and by researchers, students, and practitioners.' European Maths Society Journal\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis textbook on the basics of option pricing is accessible to readers with limited mathematical training. It is for both professional traders and undergraduates studying the basics of finance. Assuming no prior knowledge of probability, Sheldon M. Ross offers clear, simple explanations of arbitrage, the Black-Scholes option pricing formula, and other topics such as utility functions, optimal portfolio selections, and the capital assets pricing model. Among the many new features of this third edition are new chapters on Brownian motion and geometric Brownian motion, stochastic order relations and stochastic dynamic programming, along with expanded sets of exercises and references for all the chapters.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Probability\u003cbr\u003e 2. Normal random variables\u003cbr\u003e 3. Geometric Brownian motion\u003cbr\u003e 4. Interest rates and present value analysis\u003cbr\u003e 5. Pricing contracts via arbitrage\u003cbr\u003e 6. The Arbitrage Theorem\u003cbr\u003e 7. The Black–Scholes formula\u003cbr\u003e 8. Additional results on options\u003cbr\u003e 9. Valuing by expected utility\u003cbr\u003e 10. Stochastic order relations\u003cbr\u003e 11. Optimization models\u003cbr\u003e 12. Stochastic dynamic programming\u003cbr\u003e 13. Exotic options\u003cbr\u003e 14. Beyond geometric motion models\u003cbr\u003e 15. Autoregressive models and mean reversion.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e], Investment \u0026amp; securities [\u003ca title=\"See our other books on Investment \u0026amp; securities\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Investment%20\u0026amp;%20securities%20%5BKFFM%5D%22\"\u003eKFFM\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46002065211672,"sku":"9780521192538","price":52.19,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521192538i_ed3801e6-83fe-44f2-8833-3954aeb7b3ec.jpg?v=1691373569"},{"product_id":"experimental-design-for-laboratory-biologists-maximising-information-and-improving-reproducibility-hardback-9781107074293","title":"Experimental Design for Laboratory Biologists; Maximising Information and Improving Reproducibility (Hardback) 9781107074293","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eExperimental Design for Laboratory Biologists\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eMaximising Information and Improving Reproducibility\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eA guide to designing lab-based biological experiments that have low bias, high precision and widely applicable results.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eStanley E. Lazic (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107074293, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 8 December 2016\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e229 pages, 124 b\/w illus.\u003cbr\u003e25.2 x 19.3 x 2.5 cm, 1.1 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'There is an increasing need to better design experiments not only to reduce the number of any animals being used in any such work, but also to ensure that the data so produced is meaningful. As part of that process knowing how to power studies and then properly analyse the data so generated is vital, and of late there have been concerns that this is not been done to same vigour as that seen in the clinical arena. However, most scientists struggle with this aspect of their work, and thus it is really refreshing to come across a book that explicitly deals with experimental design and analysis. This new book clearly lays out what can and should be done and is written by an acknowledged expert and I have no doubt that this book will become a recommended read for all those contemplating undertaking work of this type.' Roger Barker, University of Cambridge\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eSpecifically intended for lab-based biomedical researchers, this practical guide shows how to design experiments that are reproducible, with low bias, high precision, and widely applicable results. With specific examples from research using both cell cultures and model organisms, it explores key ideas in experimental design, assesses common designs, and shows how to plan a successful experiment. It demonstrates how to control biological and technical factors that can introduce bias or add noise, and covers rarely discussed topics such as graphical data exploration, choosing outcome variables, data quality control checks, and data pre-processing. It also shows how to use R for analysis, and is designed for those with no prior experience. An accompanying website (https:\/\/stanlazic.github.io\/EDLB.html) includes all R code, data sets, and the labstats R package. This is an ideal guide for anyone conducting lab-based biological research, from students to principle investigators working in either academia or industry.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introduction: 1.1 What is reproducibility?\u003cbr\u003e 1.2 The psychology of scientific discovery\u003cbr\u003e 1.3 Are most published results wrong?\u003cbr\u003e 1.4 Frequentist statistical interference\u003cbr\u003e 1.5 Which statistics software to use?\u003cbr\u003e 2. Key ideas in experimental design: 2.1 Learning versus confirming experiments\u003cbr\u003e 2.2 The fundamental experimental design equation\u003cbr\u003e 2.3 Randomisation\u003cbr\u003e 2.4 Blocking\u003cbr\u003e 2.5 Blinding\u003cbr\u003e 2.6 Effect type: fixed versus random\u003cbr\u003e 2.7 Factor arrangement: crossed versus nested\u003cbr\u003e 2.8 Interactions between variables\u003cbr\u003e 2.9 Sampling\u003cbr\u003e 2.10 Use of controls\u003cbr\u003e 2.11 Front-aligned versus end-aligned designs\u003cbr\u003e 2.12 Heterogeneity and confounding\u003cbr\u003e 3. Replication (what is 'N'?): 3.1 Biological units\u003cbr\u003e 3.2 Experimental units\u003cbr\u003e 3.3 Observational units\u003cbr\u003e 3.4 Relationship between units\u003cbr\u003e 3.5 How is the experimental unit defined in other disciplines?\u003cbr\u003e 4. Analysis of common designs: 4.1 Preliminary concepts\u003cbr\u003e 4.2 Background to the designs\u003cbr\u003e 4.3 Completely randomised designs\u003cbr\u003e 4.4 Randomised block designs\u003cbr\u003e 4.5 Split-unit designs\u003cbr\u003e 4.6 Repeated measures designs\u003cbr\u003e 5. Planning for success: 5.1 Choosing a good outcome variable\u003cbr\u003e 5.2 Power analysis and sample size calculations\u003cbr\u003e 5.3 Optimal experimental designs (rules of thumb)\u003cbr\u003e 5.4 When to stop collecting data?\u003cbr\u003e 5.5 Putting it all together\u003cbr\u003e 5.6 How to get lucky\u003cbr\u003e 5.7 The statistical analysis plan\u003cbr\u003e 6. Exploratory data analysis: 6.1 Quality control checks\u003cbr\u003e 6.2 Preprocessing\u003cbr\u003e 6.3 Understanding the structure of the data\u003cbr\u003e Appendix A. Introduction to R\u003cbr\u003e Appendix B. Glossary.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Popular medicine \u0026amp; health [\u003ca title=\"See our other books on Popular medicine \u0026amp; health\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Popular%20medicine%20\u0026amp;%20health%20%5BVFD%5D%22\"\u003eVFD\u003c\/a\u003e], Family \u0026amp; health [\u003ca title=\"See our other books on Family \u0026amp; health\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Family%20\u0026amp;%20health%20%5BVF%5D%22\"\u003eVF\u003c\/a\u003e], Health \u0026amp; personal development [\u003ca title=\"See our other books on Health \u0026amp; personal development\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Health%20\u0026amp;%20personal%20development%20%5BV%5D%22\"\u003eV\u003c\/a\u003e], Biology, life sciences [\u003ca title=\"See our other books on Biology, life sciences\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Biology,%20life%20sciences%20%5BPS%5D%22\"\u003ePS\u003c\/a\u003e], Mathematical modelling [\u003ca title=\"See our other books on Mathematical modelling\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20modelling%20%5BPBWH%5D%22\"\u003ePBWH\u003c\/a\u003e], Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e], Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e], Mathematics \u0026amp; science [\u003ca title=\"See our other books on Mathematics \u0026amp; science\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20\u0026amp;%20science%20%5BP%5D%22\"\u003eP\u003c\/a\u003e], Medicine [\u003ca title=\"See our other books on Medicine\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Medicine%20%5BM%5D%22\"\u003eM\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46002066096408,"sku":"9781107074293","price":115.45,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107074293i_b0b949a5-b0eb-408f-a3aa-0d97cd2443dc.jpg?v=1691361759"},{"product_id":"numerical-solution-of-partial-differential-equations-an-introduction-paperback-9780521607933","title":"Numerical Solution of Partial Differential Equations; An Introduction (Paperback) 9780521607933","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eNumerical Solution of Partial Differential Equations\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eAn Introduction\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eGives a  complete introduction to partial differential equations and numerical analysis for upper undergraduates and beginning graduates.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eK. W. Morton (Author), D. F. Mayers (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521607933, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 11 April 2005\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e294 pages, 134 b\/w illus.  50 exercises\u003cbr\u003e22.9 x 15.2 x 1.6 cm, 0.4 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e' … attractive text … very clear and supported by many illuminating figures. Therefore, the book is suitable for a course for applied mathematicians or engineers at the advanced undergraduate level.' Math. Meth. Oper. Res.\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis is the 2005 second edition of a highly successful and well-respected textbook on the numerical techniques used to solve partial differential equations arising from mathematical models in science, engineering and other fields. The authors maintain an emphasis on finite difference methods for simple  but representative examples of parabolic, hyperbolic and elliptic equations from the first edition. However this is augmented by new sections on finite volume methods, modified equation analysis, symplectic integration schemes, convection-diffusion problems, multigrid, and conjugate gradient methods; and several sections, including that on the energy method of analysis, have been extensively rewritten to reflect modern developments. Already an excellent choice for students and teachers in mathematics, engineering and computer science departments, the revised text includes more latest theoretical and industrial developments.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introduction\u003cbr\u003e 2. Parabolic equations in one space variable\u003cbr\u003e 3. 2-D and 3-D parabolic equations\u003cbr\u003e 4. Hyperbolic equations in one space dimension\u003cbr\u003e 5. Consistency, convergence and stability\u003cbr\u003e 6. Linear second order elliptic equations in two dimensions\u003cbr\u003e 7. Iterative solution of linear algebraic equations\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e], Numerical analysis [\u003ca title=\"See our other books on Numerical analysis\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Numerical%20analysis%20%5BPBKS%5D%22\"\u003ePBKS\u003c\/a\u003e], Investment \u0026amp; securities [\u003ca title=\"See our other books on Investment \u0026amp; securities\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Investment%20\u0026amp;%20securities%20%5BKFFM%5D%22\"\u003eKFFM\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46002391253272,"sku":"9780521607933","price":42.48,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521607933i_7ca0b37d-6a42-42ac-a5d8-d65f944ba9b3.jpg?v=1691370474"},{"product_id":"an-introduction-to-financial-option-valuation-mathematics-stochastics-and-computation-paperback-9780521547574","title":"An Introduction to Financial Option Valuation; Mathematics, Stochastics and Computation (Paperback) 9780521547574","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eAn Introduction to Financial Option Valuation\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eMathematics, Stochastics and Computation\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eThis textbook provides an introduction to financial option valuation for undergraduates. Solutions available from solutions@cambridge.org.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eDesmond J. Higham (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521547574, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 15 April 2004\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e296 pages, 120 exercises\u003cbr\u003e24.1 x 17 x 1.8 cm, 0.48 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'The material is presented in a … vivid and pedagogical manner. …It could equally well be ready by people with limited mathematical knowledge wanting to learn the basics of mathematical finance …' Zentralblatt MATH\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis is a lively textbook providing a solid introduction to financial option valuation for undergraduate students armed with a working knowledge of a first year calculus. Written in a series of short chapters, its self-contained treatment gives equal weight to applied mathematics, stochastics and computational algorithms. No prior background in probability, statistics or numerical analysis is required. Detailed derivations of both the basic asset price model and the Black–Scholes equation are provided along with a presentation of appropriate computational techniques including binomial, finite differences and in particular, variance reduction techniques for the Monte Carlo method. Each chapter comes complete with accompanying stand-alone MATLAB code listing to illustrate a key idea. Furthermore, the author has made heavy use of figures and examples, and has included computations based on real stock market data.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introduction\u003cbr\u003e 2. Option valuation preliminaries\u003cbr\u003e 3. Random variables\u003cbr\u003e 4. Computer simulation\u003cbr\u003e 5. Asset price movement\u003cbr\u003e 6. Asset price model: part I\u003cbr\u003e 7. Asset price model: part II\u003cbr\u003e 8. Black–Scholes PDE and formulas\u003cbr\u003e 9. More on hedging\u003cbr\u003e 10. The Greeks\u003cbr\u003e 11. More on the Black–Scholes formulas\u003cbr\u003e 12. Risk neutrality\u003cbr\u003e 13. Solving a nonlinear equation\u003cbr\u003e 14. Implied volatility\u003cbr\u003e 15. The Monte Carlo method\u003cbr\u003e 16. The binomial method\u003cbr\u003e 17. Cash-or-nothing options\u003cbr\u003e 18. American options\u003cbr\u003e 19. Exotic options\u003cbr\u003e 20. Historical volatility\u003cbr\u003e 21. Monte Carlo part II: variance reduction by antithetic variates\u003cbr\u003e 22. Monte Carlo part III: variance reduction by control variates\u003cbr\u003e 23. Finite difference methods\u003cbr\u003e 24. Finite difference methods for the Black–Scholes PDE.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e], Finance [\u003ca title=\"See our other books on Finance\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Finance%20%5BKFF%5D%22\"\u003eKFF\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46002399674648,"sku":"9780521547574","price":42.89,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521547574i_fbd28eec-4a37-43f3-95fa-cd42bd7b9ae0.jpg?v=1691369507"},{"product_id":"quantile-regression-paperback-9780521608275","title":"Quantile Regression (Paperback) 9780521608275","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eQuantile Regression\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA comprehensive treatment of the subject, encompassing models that are linear and nonlinear, parametric and nonparametric.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eRoger Koenker (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521608275, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 9 May 2005\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e366 pages, 63 b\/w illus.  13 tables  20 exercises\u003cbr\u003e22.9 x 15 x 2.5 cm, 0.54 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'It is well written and easy to read, with useful ilustrations of important aspects of quantile regression … a valuable contribution to the statistical literature and is essential for every statistician or econometrician who is interested in quantile regression methods.' Andreas Karlsson, Uppsala University\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eQuantile regression is gradually emerging as a unified statistical methodology for estimating models of conditional quantile functions. By complementing the exclusive focus of classical least squares regression on the conditional mean, quantile regression offers a systematic strategy for examining how covariates influence the location, scale and shape of the entire response distribution. This monograph is the first comprehensive treatment of the subject, encompassing models that are linear and nonlinear, parametric and nonparametric. The author has devoted more than 25 years of research to this topic. The methods in the analysis are illustrated with a variety of applications from economics, biology, ecology and finance. The treatment will find its core audiences in econometrics, statistics, and applied mathematics in addition to the disciplines cited above.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePart I. Introduction: 1. Means and ends\u003cbr\u003e 2. The first regression: an historical prelude\u003cbr\u003e 3. Quantiles, ranks, and optimization\u003cbr\u003e 4. Preview of quantile regression\u003cbr\u003e 5. Three examples\u003cbr\u003e 6. Conclusion\u003cbr\u003e Part II. Fundamentals of Quantile Regression: 7. Quantile treatment effects\u003cbr\u003e 8. How does quantile regression work?\u003cbr\u003e 9. Robustness\u003cbr\u003e 10. Interpreting quantile regression models\u003cbr\u003e 11. Caution: quantile crossing\u003cbr\u003e 12. A random coefficient interpretation\u003cbr\u003e 13. Inequality measures and their decomposition\u003cbr\u003e 14. Expectiles and other variations\u003cbr\u003e 15. Interpreting misspecified quantile regressions\u003cbr\u003e 16. Problems\u003cbr\u003e Part III. Inference for Quantile Regression: 17. The finite sample distribution of regression quantiles\u003cbr\u003e 18. A heuristic introduction to quantile regression asymptotics\u003cbr\u003e 19. Wald tests\u003cbr\u003e 20. Estimation of asymptotic covariance matrices\u003cbr\u003e 21. Rank based Inference for quantile regression\u003cbr\u003e 22. Quantile likelihood ratio tests\u003cbr\u003e 23. Inference on the quantile regression process\u003cbr\u003e 24. Tests of the location\/acale hypothesis\u003cbr\u003e 25. Resampling methods and the bootstrap\u003cbr\u003e 26. Monte-Carlo comparison of methods\u003cbr\u003e 27. Problems\u003cbr\u003e Part IV. Asymptotic Theory of Quantile Regression: 28. Consistency\u003cbr\u003e 29. Rates of convergence\u003cbr\u003e 30. Bahadur representation\u003cbr\u003e 31. Nonlinear quantile regression\u003cbr\u003e 32. The quantile regression rankscore process\u003cbr\u003e 33. Quantile regression asymptotics under dependent conditions\u003cbr\u003e 34. Extremal quantile regression\u003cbr\u003e 35. The method of quantiles\u003cbr\u003e 36. Model selection, penalties, and large-p asymptotics\u003cbr\u003e 37. Asymptotics for inference\u003cbr\u003e 38. Resampling schemes and the bootstrap\u003cbr\u003e 39. Asymptotics for the quantile regression process\u003cbr\u003e 40. Problems\u003cbr\u003e Part V. L-Statistics and Weighted Quantile Regression: 41. L-Statistics for the linear model\u003cbr\u003e 42. Kernel smoothing for quantile regression\u003cbr\u003e 43. Weighted quantile regression\u003cbr\u003e 44 Quantile regression for location-scale models\u003cbr\u003e 45. Weighted sums of p-functions\u003cbr\u003e 46. Problems\u003cbr\u003e Part VI. Computational Aspects of Quantile Regression: 47. Introduction to linear programming\u003cbr\u003e 48. Simplex methods for quantile regression\u003cbr\u003e 49. Parametric programming for quantile regression\u003cbr\u003e 50 Interior point methods for canonical LPs\u003cbr\u003e 51. Preprocessing for quantile regression\u003cbr\u003e 52. Nonlinear quantile regression\u003cbr\u003e 53. Inequality constraints\u003cbr\u003e 54. Weighted sums of p-functions\u003cbr\u003e 55. Sparsity\u003cbr\u003e 56. Conclusion\u003cbr\u003e 57. Problems\u003cbr\u003e Part VII. Nonparametric Quantile Regression: 58. Locally polynomial quantile regression\u003cbr\u003e 59. Penalty methods for univariate smoothing\u003cbr\u003e 60. Penalty methods for bivariate Smoothing\u003cbr\u003e 61. Additive models and the Role of sparsity\u003cbr\u003e Part VIII. Twilight Zone of Quantile Regression: 62. Quantile regression for survival data\u003cbr\u003e 63. Discrete Response models\u003cbr\u003e 64. Quantile autoregression\u003cbr\u003e 65. Copula functions and nonlinear quantile regression\u003cbr\u003e 66. High breakdown alternatives to quantile regression\u003cbr\u003e 67. Multivariate quantiles\u003cbr\u003e 68. Penalty methods for longitudinal data\u003cbr\u003e 69. Causal effects and structural models\u003cbr\u003e 70. Choquet utility, risk and pessimistic portfolios\u003cbr\u003e Part IX. Conclusion: A. Quantile regression in R: a vignette\u003cbr\u003e A.1. Introduction\u003cbr\u003e A.2. What is a vignette?\u003cbr\u003e A.3. Getting started\u003cbr\u003e A.4. Object orientation\u003cbr\u003e A.5. Formal Inference\u003cbr\u003e A.6. More on testing\u003cbr\u003e A.7. Inference on the quantile regression process\u003cbr\u003e A.8. Nonlinear quantile regression\u003cbr\u003e A.9. Nonparametric quantile regression\u003cbr\u003e A.10. Conclusion\u003cbr\u003e B. Asymptotic critical values.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Engineering: general [\u003ca title=\"See our other books on Engineering: general\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Engineering:%20general%20%5BTBC%5D%22\"\u003eTBC\u003c\/a\u003e], Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e], Economic statistics [\u003ca title=\"See our other books on Economic statistics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Economic%20statistics%20%5BKCHS%5D%22\"\u003eKCHS\u003c\/a\u003e], Econometrics [\u003ca title=\"See our other books on Econometrics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Econometrics%20%5BKCH%5D%22\"\u003eKCH\u003c\/a\u003e], Psychology [\u003ca title=\"See our other books on Psychology\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Psychology%20%5BJM%5D%22\"\u003eJM\u003c\/a\u003e], Sociology \u0026amp; anthropology [\u003ca title=\"See our other books on Sociology \u0026amp; anthropology\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Sociology%20\u0026amp;%20anthropology%20%5BJH%5D%22\"\u003eJH\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46002436243736,"sku":"9780521608275","price":36.66,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521608275i_ba061620-e3a0-48d4-819b-3ee82108193d.jpg?v=1691370460"},{"product_id":"solitons-an-introduction-paperback-9780521336550","title":"Solitons; An Introduction (Paperback) 9780521336550","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eSolitons\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eAn Introduction\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eThis textbook is an introduction to the theory of solitons in the physical sciences.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eP. G. Drazin (Author), R. S. Johnson (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521336550, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 9 February 1989\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e240 pages\u003cbr\u003e22.9 x 15.2 x 1.4 cm, 0.36 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"...an excellent book, achieving its goals both concisely and comprehensively.\"   John G. Harris, Applied Mechanics Review\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis textbook is an introduction to the theory of solitons and its diverse applications to nonlinear systems that arise in the physical sciences. The authors explain the generation and properties of solitons, introducing the mathematical technique known as the Inverse Scattering Transform. Their aim is to present the essence of inverse scattering clearly, rather than rigorously or completely. Thus, the prerequisites (i.e., partial differential equations, calculus of variations, Fourier integrals, linear waves and Sturm–Liouville theory), and more advanced material is explained in the text with useful references to further reading given at the end of each chapter. Worked examples are frequently used to help the reader follow the various ideas, and the exercises at the end of each chapter not only contain applications but also test understanding. Answers, or hints to the solution, are given at the end of the book. Sections and exercises that contain more difficult material are indicated by asterisks.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. The Kortewag–de Vries equation\u003cbr\u003e 2. Elementary solutions of the Korteweg–de Vries equation\u003cbr\u003e 3. The scattering and inverse scattering problems\u003cbr\u003e 4. The initial-value problem for the Korteweg–de Vries equation\u003cbr\u003e 5. Further properties of the Korteweg–de Vries equation\u003cbr\u003e 6. More general inverse methods\u003cbr\u003e 7. The Painlevé property, perturbations and numerical methods\u003cbr\u003e 8. Epilogue\u003cbr\u003e Answers and hints\u003cbr\u003e Bibliography and author index\u003cbr\u003e Motion picture index\u003cbr\u003e Subject index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46002464162072,"sku":"9780521336550","price":39.79,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521336550i_fb0a0eb8-c568-409c-9c4e-8e7cab1f6e5c.jpg?v=1691375283"},{"product_id":"complex-variables-introduction-and-applications-paperback-9780521534291","title":"Complex Variables; Introduction and Applications (Paperback) 9780521534291","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eComplex Variables\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eIntroduction and Applications\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eThis 2003 edition is ideal for use in undergraduate and introductory graduate level courses in complex variables.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eMark J. Ablowitz (Author), Athanassios S. Fokas (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521534291, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 28 April 2003\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e660 pages, 160 b\/w illus.  350 exercises\u003cbr\u003e22.9 x 15.2 x 3.7 cm, 0.89 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'… the book is valuable for students in engineering and physical sciences.' ZAMM\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eComplex variables provide powerful methods for attacking problems that can be very difficult to solve in any other way, and it is the aim of this book to provide a thorough grounding in these methods and their application. Part I of this text provides an introduction to the subject, including analytic functions, integration, series, and residue calculus and also includes transform methods, ODEs in the complex plane, and numerical methods. Part II contains conformal mappings, asymptotic expansions, and the study of Riemann–Hilbert problems. The authors provide an extensive array of applications, illustrative examples and homework exercises. This 2003 edition was improved throughout and is ideal for use in undergraduate and introductory graduate level courses in complex variables.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePart I: 1. Complex numbers and elementary functions\u003cbr\u003e 2. Analytic functions and integration\u003cbr\u003e 3. Sequences, series and singularities of complex functions\u003cbr\u003e 4. Residue calculus and applications of contour integration\u003cbr\u003e Part II: 5. Conformal mapping and applications\u003cbr\u003e 6. Asymptotic evaluation of integrals\u003cbr\u003e 7. Riemann–Hilbert problems\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e], Complex analysis, complex variables [\u003ca title=\"See our other books on Complex analysis, complex variables\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Complex%20analysis,%20complex%20variables%20%5BPBKD%5D%22\"\u003ePBKD\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46002473926936,"sku":"9780521534291","price":63.95,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521534291i_8783e710-7bde-4708-8b9a-0445151c2078.jpg?v=1691369223"},{"product_id":"think-before-you-compute-a-prelude-to-computational-fluid-dynamics-paperback-9781108789998","title":"Think Before You Compute; A Prelude to Computational Fluid Dynamics (Paperback \/ softback) 9781108789998","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThink Before You Compute\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eA Prelude to Computational Fluid Dynamics\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eThis guide to computational fluid mechanics introduces beginning graduate students to the subject's standard methods and common pitfalls.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eE. J. Hinch (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781108789998, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 30 April 2020\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e240 pages, 75 b\/w illus.  1 table  16 exercises\u003cbr\u003e22.7 x 15.3 x 1.3 cm, 0.35 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'… Think Before You Compute [is] an attractive textbook for a standalone course on CFD or an excellent supplement for a graduate course that includes conceptual, analytic, and numerical approaches.' L. Mahadevan, Physics Today\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eEvery fluid dynamicist will at some point need to use computation. Thinking about the physics, constraints and the requirements early on will be rewarded with benefits in time, effort, accuracy and expense. How these benefits can be realised is illustrated in this guide for would-be researchers and beginning graduate students to some of the standard methods and common pitfalls of computational fluid mechanics. Based on a lecture course that the author has developed over twenty years, the text is split into three parts. The quick introduction enables students to solve numerically a basic nonlinear problem by a simple method in just three hours. The follow-up part expands on all the key essentials, including discretisation (finite differences, finite elements and spectral methods), time-stepping and linear algebra. The final part is a selection of optional advanced topics, including hyperbolic equations, the representation of surfaces, the boundary integral method, the multigrid method, domain decomposition, the fast multipole method, particle methods and wavelets.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePart I. A first problem: 1. The driven cavity\u003cbr\u003e 2. Streamfunction-vorticity formulation\u003cbr\u003e 3. Primitive variable formulation\u003cbr\u003e Part II. Generalities: 4. Finite differences\u003cbr\u003e 5. Finite elements\u003cbr\u003e 6.Spectral methods\u003cbr\u003e 7. Time integration\u003cbr\u003e 8. Linear Algebra\u003cbr\u003e Part III. Special topics: 9. Software packages and FreeFem++\u003cbr\u003e 10. Hyperbolic equations\u003cbr\u003e 11. Representation of surfaces\u003cbr\u003e 12. Boundary integral method\u003cbr\u003e 13. Fast Poisson solvers\u003cbr\u003e 14. Fast Multipole Method\u003cbr\u003e 15. Nonlinear considerations\u003cbr\u003e 16. Particle methods\u003cbr\u003e 17. Wavelets\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Mathematical theory of computation [\u003ca title=\"See our other books on Mathematical theory of computation\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematical%20theory%20of%20computation%20%5BUYA%5D%22\"\u003eUYA\u003c\/a\u003e], Dynamics \u0026amp; statics [\u003ca title=\"See our other books on Dynamics \u0026amp; statics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Dynamics%20\u0026amp;%20statics%20%5BPHDT%5D%22\"\u003ePHDT\u003c\/a\u003e], Fluid mechanics [\u003ca title=\"See our other books on Fluid mechanics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Fluid%20mechanics%20%5BPHDF%5D%22\"\u003ePHDF\u003c\/a\u003e], Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46002474877208,"sku":"9781108789998","price":34.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781108789998i.jpg?v=1696719464"},{"product_id":"an-introduction-to-general-relativity-paperback-9780521339438","title":"An Introduction to General Relativity (Paperback) 9780521339438","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eAn Introduction to General Relativity\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eL. P. Hughston (Author), K. P. Tod (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521339438, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 25 January 1991\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e192 pages, 32 b\/w illus.\u003cbr\u003e23 x 15.3 x 1.4 cm, 0.29 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"...very readable...more emphasis is placed on an intuitive grasp of the subject and a calculational facility than on a rigorous mathematical exposition.\"  Quarterly of Applied MAthematics, Brown University\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis textbook provides an introduction to general relativity for mathematics undergraduates or graduate physicists. After a review of Cartesian tensor notation and special relativity the concepts of Riemannian differential geometry are introducted. More emphasis is placed on an intuitive grasp of the subject and a calculational facility than on a rigorous mathematical exposition. General relativity is then presented as a relativistic theory of gravity reducing in the appropriate limits to Newtonian gravity or special relativity. The Schwarzchild solution is derived and the gravitational red-shift, time dilation and classic tests of general relativity are discussed. There is a brief account of gravitational collapse and black holes based on the extended Schwarzchild solution. Other vacuum solutions are described, motivated by their counterparts in linearised general relativity. The book ends with chapters on cosmological solutions to the field equations. There are exercises attached to each chapter, some of which extend the development given in the text.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Introduction\u003cbr\u003e 2. Vectors and tensors in flat three-space\u003cbr\u003e 3. Aspects of special relativistic geometry\u003cbr\u003e 4. Tensor analysis on manifolds\u003cbr\u003e 5. Covariant differentiation\u003cbr\u003e 6. Properties of the Riemann tensor\u003cbr\u003e 7. Riemannian geometry\u003cbr\u003e 8. The Lie derivative\u003cbr\u003e 9. Geodesics\u003cbr\u003e 10. Geodesic deviation\u003cbr\u003e 11. Differential forms\u003cbr\u003e 12. The transition from Newtonian theory\u003cbr\u003e 13. Einstein's field equations\u003cbr\u003e 14. The slow motion approximation\u003cbr\u003e 15. The Schwarzschild solution\u003cbr\u003e 16. Gravitational red-shift and time dilation\u003cbr\u003e 17. The geodesic equation for the Schwarzschild solution\u003cbr\u003e 18. Classical tests\u003cbr\u003e 19. The extended Schwarzschild solution\u003cbr\u003e 20. Black holes and gravitational collapse\u003cbr\u003e 21. Interior solutions\u003cbr\u003e 22. The Kerr solution\u003cbr\u003e 23. Homogeneous and isotropic three-spaces\u003cbr\u003e 24. Cosmology: kinematics\u003cbr\u003e 25. Cosmology: dynamics\u003cbr\u003e 25. Anisotropic cosmologies\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46002539233560,"sku":"9780521339438","price":38.88,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521339438_1cc5847b-c54d-4e5c-8b73-433663b27eec.gif?v=1691375446"},{"product_id":"viscous-flow-paperback-9780521458818","title":"Viscous Flow (Paperback) 9780521458818","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eViscous Flow\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis book provides senior undergraduates who are already familiar with inviscid fluid dynamics with some of the basic facts about the modelling and analysis of viscous flows.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eH. Ockendon (Author), J. R. Ockendon (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521458818, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 27 January 1995\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e124 pages, 43 b\/w illus.  62 exercises\u003cbr\u003e22.8 x 15.3 x 1 cm, 0.182 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e\"...will certainly appeal to those teaching (and taking) graduate fluid mechanics courses in engineering as well as the targeted mathematics majors....It makes both a good personal text and a useful library addition.\"   R.T. Balmer, Applied Mechanics Review\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eMany of the topics in inviscid fluid dynamics are not only vitally important mechanisms in everyday life but they are also readily observable without any need for instrumentation. It is therefore stimulating when the mathematics that emerges when these phenomena are modelled is novel and suggestive of alternative methodologies. This book provides senior undergraduates who are already familiar with inviscid fluid dynamics with some of the basic facts about the modelling and analysis of viscous flows. It clearly presents the salient physical ideas and the mathematical ramifications with exercises designed to be an integral part of the text. By showing the basic theoretical framework which has developed as a result of the study of viscous flows, the book should be ideal reading for students of applied mathematics who should then be able to delve further into the subject and be well placed to exploit mathematical ideas throughout the whole of applied science.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Modelling a viscous fluid\u003cbr\u003e 2. Boundary layers\u003cbr\u003e 3. Slow viscous flow\u003cbr\u003e 4. Thin films\u003cbr\u003e 5. Spatial and temporal complexity\u003cbr\u003e Appendix A: a brief introduction to asymptotics\u003cbr\u003e Appendix B: uses of group theory\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46002686656792,"sku":"9780521458818","price":25.86,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521458818i_d19ccb46-9c65-4c38-83af-2fa8a480eb89.jpg?v=1691382373"},{"product_id":"scaling-paperback-9780521533942","title":"Scaling (Paperback) 9780521533942","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eScaling\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eAn advanced 2003 textbook on how to discover and use scaling laws in natural sciences and engineering.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eGrigory Isaakovich Barenblatt (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521533942, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 13 November 2003\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e188 pages, 5 b\/w illus.  1 colour illus.\u003cbr\u003e22.8 x 15.4 x 1 cm, 0.27 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e' … a superb introduction …' Zentralblatt MATH\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eMany phenomena in nature, engineering or society when seen at an intermediate distance, in space or time, exhibit the remarkable property of self-similarity: they reproduce themselves as scales change, subject to so-called scaling laws. It's crucial to know the details of these laws, so that mathematical models can be properly formulated and analysed, and the phenomena in question can be more deeply understood. In this 2003 book, the author describes and teaches the art of discovering scaling laws, starting from dimensional analysis and physical similarity, which are here given a modern treatment. He demonstrates the concepts of intermediate asymptotics and the renormalisation group as natural attributes of self-similarity and shows how and when these notions and tools can be used to tackle the task at hand, and when they cannot. Based on courses taught to undergraduate and graduate students, the book can also be used for self-study by biologists, chemists, astronomers, engineers and geoscientists.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eForeword\u003cbr\u003e Introduction\u003cbr\u003e 1. Dimensional analysis and physical similarity\u003cbr\u003e 2. Self-similarity and intermediate asymptotics\u003cbr\u003e 3. Scaling laws and self-similar solutions which cannot be obtained by dimensional analysis\u003cbr\u003e 4. Complete and incomplete similarity\u003cbr\u003e 5. Scaling and transformation groups and the renormalisation group\u003cbr\u003e 6. Self-similar solutions and traveling waves\u003cbr\u003e 7. Scaling laws and fractals\u003cbr\u003e 8. Scaling laws for turbulent wall-bounded shear flows at very large Reynolds numbers\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46002700812568,"sku":"9780521533942","price":41.28,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521533942i_8e465745-01f4-4731-9737-9695ec4e13b1.jpg?v=1691369214"},{"product_id":"credit-risk-paperback-9780521175753","title":"Credit Risk (Paperback) 9780521175753","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eCredit Risk\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThis master's-level introduction to mainstream credit risk modelling balances rigorous theory with real-world, post-credit crisis examples.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eMarek Capi?ski (Author), Tomasz Zastawniak (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521175753, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 14 November 2016\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e201 pages, 6 b\/w illus.\u003cbr\u003e22.7 x 15.2 x 1 cm, 0.33 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eModelling credit risk accurately is central to the practice of mathematical finance. The majority of available texts are aimed at an advanced level, and are more suitable for PhD students and researchers. This volume of the Mastering Mathematical Finance series addresses the need for a course intended for master's students, final-year undergraduates, and practitioners. The book focuses on the two mainstream modelling approaches to credit risk, namely structural models and reduced-form models, and on pricing selected credit risk derivatives. Balancing rigorous theory with examples, it takes readers through a natural development of mathematical ideas and financial intuition.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Structural models\u003cbr\u003e 2. Hazard function model and no arbitrage\u003cbr\u003e 3. Defaultable bond pricing with hazard function\u003cbr\u003e 4. Security pricing with hazard function\u003cbr\u003e 5. Hazard process model\u003cbr\u003e 6. Security pricing with hazard process\u003cbr\u003e Appendix\u003cbr\u003e Selected literature\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e], Credit \u0026amp; credit institutions [\u003ca title=\"See our other books on Credit \u0026amp; credit institutions\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Credit%20\u0026amp;%20credit%20institutions%20%5BKFFL%5D%22\"\u003eKFFL\u003c\/a\u003e], Finance [\u003ca title=\"See our other books on Finance\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Finance%20%5BKFF%5D%22\"\u003eKFF\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46002825003288,"sku":"9780521175753","price":34.48,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521175753i_c6013fd9-fcf9-4db7-b729-97b5c5c02f3c.jpg?v=1691373049"},{"product_id":"finite-volume-methods-for-hyperbolic-problems-paperback-9780521009249","title":"Finite Volume Methods for Hyperbolic Problems (Paperback) 9780521009249","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eFinite Volume Methods for Hyperbolic Problems\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eAn introduction to hyperbolic PDEs and a class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eRandall J. LeVeque (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521009249, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 26 August 2002\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e580 pages, 135 b\/w illus.  108 exercises\u003cbr\u003e24.6 x 17.4 x 2.9 cm, 0.94 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'The text is very well written and can serve for self-study as well as an accompanying text book for teaching purposes … a very sound and comprehensive introduction into hyperbolic problems and their numerical treatment.' Zentralblatt MATH\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis book, first published in 2002, contains an introduction to hyperbolic partial differential equations and a powerful class of numerical methods for approximating their solution, including both linear problems and nonlinear conservation laws. These equations describe a wide range of wave propagation and transport phenomena arising in nearly every scientific and engineering discipline. Several applications are described in a self-contained manner, along with much of the mathematical theory of hyperbolic problems. High-resolution versions of Godunov's method are developed, in which Riemann problems are solved to determine the local wave structure and limiters are then applied to eliminate numerical oscillations. These methods were originally designed to capture shock waves accurately, but are also useful tools for studying linear wave-propagation problems, particularly in heterogenous material. The methods studied are implemented in the CLAWPACK software package and source code for all the examples presented can be found on the web, along with animations of many of the simulations. This provides an excellent learning environment for understanding wave propagation phenomena and finite volume methods.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Introduction\u003cbr\u003e 2. Conservation laws and differential equations\u003cbr\u003e 3. Characteristics and Riemann problems for linear hyperbolic equations\u003cbr\u003e 4. Finite-volume methods\u003cbr\u003e 5. Introduction to the CLAWPACK software\u003cbr\u003e 6. High resolution methods\u003cbr\u003e 7. Boundary conditions and ghost cells\u003cbr\u003e 8. Convergence, accuracy, and stability\u003cbr\u003e 9. Variable-coefficient linear equations\u003cbr\u003e 10. Other approaches to high resolution\u003cbr\u003e 11. Nonlinear scalar conservation laws\u003cbr\u003e 12. Finite-volume methods for nonlinear scalar conservation laws\u003cbr\u003e 13. Nonlinear systems of conservation laws\u003cbr\u003e 14. Gas dynamics and the Euler equations\u003cbr\u003e 15. Finite-volume methods for nonlinear systems\u003cbr\u003e 16. Some nonclassical hyperbolic problems\u003cbr\u003e 17. Source terms and balance laws\u003cbr\u003e 18. Multidimensional hyperbolic problems\u003cbr\u003e 19. Multidimensional numerical methods\u003cbr\u003e 20. Multidimensional scalar equations\u003cbr\u003e 21. Multidimensional systems\u003cbr\u003e 22. Elastic waves\u003cbr\u003e 23. Finite-volume methods on quadrilateral grids\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e], Numerical analysis [\u003ca title=\"See our other books on Numerical analysis\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Numerical%20analysis%20%5BPBKS%5D%22\"\u003ePBKS\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46003001000216,"sku":"9780521009249","price":63.59,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521009249i_af5f76f2-ae86-4947-9da5-b70122865a91.jpg?v=1691376601"},{"product_id":"the-theory-of-homogeneous-turbulence-paperback-9780521041171","title":"The Theory of Homogeneous Turbulence (Paperback \/ softback) 9780521041171","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eThe Theory of Homogeneous Turbulence\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eG. K. Batchelor (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521041171, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 27 May 1982\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e212 pages\u003cbr\u003e21.6 x 14 x 1.2 cm, 0.28 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis is a reissue of Professor Batchelor's text on the theory of turbulent  motion, which was first published by Cambridge Unviersity Press in 1953. It continues to be widely referred to in the professional literature of fluid mechanics, but has not been available for several years. This classic account includes an introduction to the study of homogeneous turbulence, including its mathematic representation and kinematics. Linear problems, such as the randomly-perturbed harmonic oscillator and turbulent flow through a wire gauze, are then treated. The author also presents the general dynamics of decay, universal equilibrium theory, and the decay of energy-containing eddies. There is a renewed interest in turbulent motion, which finds applications in atmospheric physics, fluid mechanics, astrophysics, and planetary science.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Introduction\u003cbr\u003e 2. Mathematics representation of the field of turbulence\u003cbr\u003e 3. The kinematics of homogeneous turbulence\u003cbr\u003e 4. Some linear problems\u003cbr\u003e 5. General dynamics of decay\u003cbr\u003e 6. The universal equilibrium theory\u003cbr\u003e 7. Decay of the energy-containing eddies\u003cbr\u003e 8. The probability distribution of u(x)\u003cbr\u003e Bibliography of research on homogeneous turbulence\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46003054313752,"sku":"9780521041171","price":20.49,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521041171_5d695453-53cb-452e-bdbb-a7f0b1c3891f.gif?v=1694968573"},{"product_id":"applied-nonparametric-econometrics-paperback-9780521279680","title":"Applied Nonparametric Econometrics (Paperback) 9780521279680","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eApplied Nonparametric Econometrics\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eBridging the gap between applied economists and theoretical nonparametric econometricians, this book explains basic to advanced nonparametric methods with applications.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eDaniel J. Henderson (Author), Christopher F. Parmeter (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521279680, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 12 January 2015\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e380 pages, 81 b\/w illus.  34 tables\u003cbr\u003e25.1 x 17.8 x 2.8 cm, 0.73 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'The aim of this book is to teach nonparametric methods to applied economists. The book does an excellent job of achieving this objective. The mix of rigor and intuition is perfect, and the availability of software to go with the book makes it easy to implement the techniques being taught.' Peter Schmidt, Michigan State University\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe majority of empirical research in economics ignores the potential benefits of nonparametric methods, while the majority of advances in nonparametric theory ignore the problems faced in applied econometrics. This book helps bridge this gap between applied economists and theoretical nonparametric econometricians. It discusses in depth, and in terms that someone with only one year of graduate econometrics can understand, basic to advanced nonparametric methods. The analysis starts with density estimation and motivates the procedures through methods that should be familiar to the reader. It then moves on to kernel regression, estimation with discrete data, and advanced methods such as estimation with panel data and instrumental variables models. The book pays close attention to the issues that arise with programming, computing speed, and application. In each chapter, the methods discussed are applied to actual data, paying attention to presentation of results and potential pitfalls.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Introduction\u003cbr\u003e 2. Univariate density estimation\u003cbr\u003e 3. Multivariate density estimation\u003cbr\u003e 4. Inference about the density\u003cbr\u003e 5. Regression\u003cbr\u003e 6. Testing in regression\u003cbr\u003e 7. Smoothing discrete variables\u003cbr\u003e 8. Regression with discrete covariates\u003cbr\u003e 9. Semiparametric methods\u003cbr\u003e 10. Instrumental variables\u003cbr\u003e 11. Panel data\u003cbr\u003e 12. Constrained estimation and inference\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: History of mathematics [\u003ca title=\"See our other books on History of mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22History%20of%20mathematics%20%5BPBX%5D%22\"\u003ePBX\u003c\/a\u003e], Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e], Economic statistics [\u003ca title=\"See our other books on Economic statistics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Economic%20statistics%20%5BKCHS%5D%22\"\u003eKCHS\u003c\/a\u003e], Econometrics [\u003ca title=\"See our other books on Econometrics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Econometrics%20%5BKCH%5D%22\"\u003eKCH\u003c\/a\u003e], Economics [\u003ca title=\"See our other books on Economics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Economics%20%5BKC%5D%22\"\u003eKC\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46003097862424,"sku":"9780521279680","price":38.29,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521279680i_9a555bed-def2-4ad2-b48c-e981fb26c925.jpg?v=1691374437"},{"product_id":"vortex-dynamics-paperback-9780521477390","title":"Vortex Dynamics (Paperback) 9780521477390","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eVortex Dynamics\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eVortex dynamics is a natural paradigm for the field of chaotic motion and modern dynamical system theory.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eP. G. Saffman (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521477390, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 24 February 1995\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e328 pages, 54 b\/w illus.\u003cbr\u003e23.4 x 15.5 x 2.2 cm, 0.452 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e' … a major contribution to the literature of physical and mathematical vortex dynamics.' Science\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe discovery of coherent structures in turbulence has fostered the hope that the study of vortices will lead to models and an understanding of turbulent flow, thereby solving or at least making less mysterious one of the great unsolved problems of classical physics. Vortex dynamics is a natural paradigm for the field of chaotic motion and modern dynamical system theory. The emphasis in this monograph is on the classical theory of inviscid incompressible fluids containing finite regions of vorticity. The effects of viscosity, compressibility, inhomogeneity and stratification are enormously important in many fields of application, from hypersonic flight to global environmental fluid mechanics. However, this volume focuses on those aspects of fluid motion which are primarily controlled by the vorticity and are such that the effects of the other fluid properties are secondary.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Fundamental properties of vorticity\u003cbr\u003e 2. Singular distributions of vorticity\u003cbr\u003e 3. Vortex momentum\u003cbr\u003e 4. Motion with surfaces\u003cbr\u003e 5. Some applications\u003cbr\u003e 6. Creation of vorticity\u003cbr\u003e 7. Dynamics of line vortices in two-dimensional flow\u003cbr\u003e 8. Vortex sheets in two dimensions\u003cbr\u003e 9. Dynamics of two-dimensional vortex patches\u003cbr\u003e 10. Axisymmetric vortex rings\u003cbr\u003e 11. Dynamics of vortex filaments\u003cbr\u003e 12. Three-dimensional vortex instability\u003cbr\u003e 13. Effects of viscosity\u003cbr\u003e 14. Miscellaneous topics.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46003289456920,"sku":"9780521477390","price":48.39,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521477390i_b5212422-e597-4c10-9491-521632c2514d.jpg?v=1691382860"},{"product_id":"introduction-to-dynamics-paperback-9780521281492","title":"Introduction to Dynamics (Paperback) 9780521281492","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eIntroduction to Dynamics\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cfont size=\"4\"\u003eI. C. Percival (Author), D. Richards (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521281492, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 2 December 1982\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e240 pages\u003cbr\u003e22.8 x 15 x 2.6 cm, 0.39 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'The authors of this splendid textbook have made a commendable effort to introduce the geometric and qualitative aspects of dynamics at an undergraduate level … an exciting, well-organised book with many illuminating worked examples. A course based on this book would be a pleasure to teach. It should be greatly appreciated by physicists and engineers, and might help bring applied mathematics forward into the nineteenth century.' The Times Higher Education Supplement\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eRecent advances in dynamics, with wide applications throughout the sciences and engineering, have meant that a new approach to the subject is needed. Furthermore, the mathematical and scientific background of students has changed in recent years. In this book, the subject of dynamics is introduced at undergraduate level through the elementary qualitative theory of differential equations, the geometry of phrase curves and the theory of stability. Each subject, from the most elementary topic to some important discoveries of recent decades, is introduced through simple examples and illustrated with many diagrams. The text is supplemented with over a hundred exercises. The examples and exercises cover subjects as diverse as mechanics and population dynamics. The mathematical background required of the reader is an understanding of the elementary theory of differential equations and matrix arithmetic. The book will be of interest to second-year and third-year undergraduates at universities, polytechnics and technical colleges who are studying science and engineering courses. It is also suitable for graduates and research workers in such fields as plasma, atomic, particle and molecular physics, astronomy and theoretical ecology.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. First-order autonomous systems\u003cbr\u003e 2. Linear transformations of the plane\u003cbr\u003e 3. Second-order autonomous systems\u003cbr\u003e 4. Conservative Hamiltonian systems of one degree of freedom\u003cbr\u003e 5. Legrangians\u003cbr\u003e 6. Transformation theory\u003cbr\u003e 7. Angle-action variables\u003cbr\u003e 8. Perturbation theory\u003cbr\u003e 9. Adiabatic and rapidly oscillating conditions\u003cbr\u003e 10. Linear systems\u003cbr\u003e 11. Chaotic motion and non-linear maps\u003cbr\u003e Appendixes\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46003297321240,"sku":"9780521281492","price":47.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521281492i_db3d474c-184e-4410-86af-c3a0e1db4a14.jpg?v=1691374479"},{"product_id":"wave-motion-paperback-9780521634502","title":"Wave Motion (Paperback) 9780521634502","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eWave Motion\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eTextbook on wave phenomena for advanced undergraduate courses; worked examples, exercises and solutions for teachers.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eJ. Billingham (Author), A. C. King (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521634502, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 22 January 2001\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e476 pages, 13 b\/w illus.  1 table  98 exercises\u003cbr\u003e22.9 x 15.2 x 2.7 cm, 0.69 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'I'm glad I bought a copy of this book as soon as it was published, because it has informed me, and will go on informing my lecture classes, for years to come.' Mark J. Cooker, The Mathematical Gazette\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eWaves are a ubiquitous and important feature of the physical world, and throughout history it has been a major challenge to understand them. They can propagate on the surfaces of solids and of fluids; chemical waves control the beating of your heart; traffic jams move in waves down lanes crowded with vehicles. This introduction to the mathematics of wave phenomena is aimed at advanced undergraduate courses on waves for mathematicians, physicists or engineers. Some more advanced material on both linear and nonlinear waves is also included, thus making the book suitable for beginning graduate courses. The authors assume some familiarity with partial differential equations, integral transforms and asymptotic expansions as well as an acquaintance with fluid mechanics, elasticity and electromagnetism. The context and physics that underlie the mathematics is clearly explained at the beginning of each chapter. Worked examples and exercises are supplied throughout, with solutions available to teachers.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eIntroduction\u003cbr\u003e Part I. Linear Waves: 1. Basic ideas\u003cbr\u003e 2. Waves on a stretched string\u003cbr\u003e 3. Sound waves\u003cbr\u003e 4. Linear water waves\u003cbr\u003e 5. Waves in elastic solids\u003cbr\u003e 6. Electromagnetic waves\u003cbr\u003e Part II. Nonlinear Waves: 7. The formation and propagation of shock waves\u003cbr\u003e 8. Nonlinear water waves\u003cbr\u003e 9. Chemical and electrochemical waves\u003cbr\u003e Part III. Advanced Topics: 10. Burgers' equation\u003cbr\u003e 11. Diffraction and scattering\u003cbr\u003e 12. Solitons and the inverse scattering transform\u003cbr\u003e Appendix. Useful mathematical formulas and physical data\u003cbr\u003e Bibliography\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Fluid mechanics [\u003ca title=\"See our other books on Fluid mechanics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Fluid%20mechanics%20%5BPHDF%5D%22\"\u003ePHDF\u003c\/a\u003e], Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46003357843736,"sku":"9780521634502","price":49.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521634502i_476af090-6f29-492d-97c6-dc7c1a2c297c.jpg?v=1691379367"},{"product_id":"innovation-and-certainty-paperback-9781108742290","title":"Innovation and Certainty (Paperback \/ softback) 9781108742290","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eInnovation and Certainty\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eAn overview of how mathematics' traditional domains of 'number and figure' have been vigorously displaced since the nineteenth century.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eMark Wilson (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781108742290, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback \/ softback, published 7 January 2021\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e75 pages\u003cbr\u003e22.9 x 15.2 x 0.7 cm, 0.138 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003e'Each new addition fills an unwanted gap and Wilson's aim is to get philosophers to pay attention to the seemingly un-mathematical ways mathematicians plug up theoretical holes and the philosophical consequences these measures have.' Mark Zelcer, Metascience\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eBeginning in the nineteenth century, mathematics' traditional domains of 'number and figure' became vigorously displaced by altered settings in which former verities became discarded as no longer sacrosanct. And these innovative recastings appeared everywhere, not merely within the familiar realm of the non-Euclidean geometries. How can mathematics retain its traditional status as a repository of necessary truth in the light of these revisions? The purpose of this Element is to provide a sketch of this developmental history.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e 1. Suggestions from the Symbols\u003cbr\u003e 2. Innovation and Error\u003cbr\u003e 3. Logicist Reconstruction\u003cbr\u003e 4. Set Theoretic Ladders\u003cbr\u003e 5. If -Thenism\u003cbr\u003e 6. Exploratory Mathematics\u003cbr\u003e 7. Unsuspected Kinships and Disassociations\u003cbr\u003e 8. The Enlarging Architecture of Mathematical Reasoning.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Applied mathematics [\u003ca title=\"See our other books on Applied mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Applied%20mathematics%20%5BPBW%5D%22\"\u003ePBW\u003c\/a\u003e], Mathematics [\u003ca title=\"See our other books on Mathematics\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Mathematics%20%5BPB%5D%22\"\u003ePB\u003c\/a\u003e], Philosophy [\u003ca title=\"See our other books on Philosophy\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Philosophy%20%5BHP%5D%22\"\u003eHP\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46003415220504,"sku":"9781108742290","price":16.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781108742290i.jpg?v=1696718417"}],"url":"https:\/\/freshlyprintedbooks.co.uk\/collections\/applied-mathematics.oembed?page=11","provider":"Freshly Printed Books","version":"1.0","type":"link"}