{"title":"Maths for computer scientists","description":"Books on the subject of Maths for computer scientists","products":[{"product_id":"linear-algebra-and-learning-from-data-hardback-9780692196380","title":"Linear Algebra and Learning from Data (Hardback) 9780692196380","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eLinear Algebra and Learning from Data\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eFrom Gilbert Strang, the first textbook that teaches linear algebra together with deep learning and neural nets.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eGilbert Strang (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780692196380, Wellesley-Cambridge Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 31 January 2019\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e446 pages\u003cbr\u003e24.2 x 19.6 x 2.5 cm, 0.93 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\"\u003eLinear algebra and the foundations of deep learning, together at last! From Professor Gilbert Strang, acclaimed author of Introduction to Linear Algebra, comes Linear Algebra and Learning from Data, the first textbook that teaches linear algebra together with deep learning and neural nets. This readable yet rigorous textbook contains a complete course in the linear algebra and related mathematics that students need to know to get to grips with learning from data. Included are: the four fundamental subspaces, singular value decompositions, special matrices, large matrix computation techniques, compressed sensing, probability and statistics, optimization, the architecture of neural nets, stochastic gradient descent and backpropagation.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eDeep learning and neural nets\u003cbr\u003e Preface and acknowledgements\u003cbr\u003e Part I. Highlights of Linear Algebra\u003cbr\u003e Part II. Computations with Large Matrices\u003cbr\u003e Part III. Low Rank and Compressed Sensing\u003cbr\u003e Part IV. Special Matrices\u003cbr\u003e Part V. Probability and Statistics\u003cbr\u003e Part VI. Optimization\u003cbr\u003e Part VII. Learning from Data: Books on machine learning\u003cbr\u003e Eigenvalues and singular values\u003cbr\u003e Rank One\u003cbr\u003e Codes and algorithms for numerical linear algebra\u003cbr\u003e Counting parameters in the basic factorizations\u003cbr\u003e Index of authors\u003cbr\u003e Index\u003cbr\u003e Index of symbols.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Pattern recognition [\u003ca title=\"See our other books on Pattern recognition\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Pattern%20recognition%20%5BUYQP%5D%22\"\u003eUYQP\u003c\/a\u003e], Machine learning [\u003ca title=\"See our other books on Machine learning\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Machine%20learning%20%5BUYQM%5D%22\"\u003eUYQM\u003c\/a\u003e], Maths for computer scientists [\u003ca title=\"See our other books on Maths for computer scientists\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Maths%20for%20computer%20scientists%20%5BUYAM%5D%22\"\u003eUYAM\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]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wellesley-Cambridge Press","offers":[{"title":"Default Title","offer_id":45999586640152,"sku":"9780692196380","price":60.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780692196380i_aa4a255b-2aa8-4513-a20b-c00e8c8fcd43.jpg?v=1691359193"},{"product_id":"verification-and-validation-in-scientific-computing-hardback-9780521113601","title":"Verification and Validation in Scientific Computing (Hardback) 9780521113601","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eVerification and Validation in Scientific Computing\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eCan you trust results from modelling and simulation? Verification, validation, and uncertainty quantification can help.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eWilliam L. Oberkampf (Author), Christopher J. Roy (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521113601, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 14 October 2010\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e790 pages, 220 b\/w illus.  14 colour illus.  55 tables\u003cbr\u003e25.4 x 17.9 x 4 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'This book provides a comprehensive and systematic development of basic concepts and procedures for verification and validation of models and simulations.' Zentralblatt MATH\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eAdvances in scientific computing have made modelling and simulation an important part of the decision-making process in engineering, science, and public policy. This book provides a comprehensive and systematic development of the basic concepts, principles, and procedures for verification and validation of models and simulations. The emphasis is placed on models that are described by partial differential and integral equations and the simulations that result from their numerical solution. The methods described can be applied to a wide range of technical fields, from the physical sciences, engineering and technology and industry, through to environmental regulations and safety, product and plant safety, financial investing, and governmental regulations. This book will be genuinely welcomed by researchers, practitioners, and decision makers in a broad range of fields, who seek to improve the credibility and reliability of simulation results. It will also be appropriate either for university courses or for independent study.\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 Part I. Fundamental Concepts: 2. Fundamental concepts and terminology\u003cbr\u003e 3. Modeling and computational simulation\u003cbr\u003e Part II. Code Verification: 4. Software engineering\u003cbr\u003e 5. Code verification\u003cbr\u003e 6. Exact solutions\u003cbr\u003e Part III. Solution Verification: 7. Solution verification\u003cbr\u003e 8. Discretization error\u003cbr\u003e 9. Solution adaptation\u003cbr\u003e Part IV. Model Validation and Prediction: 10. Model validation fundamentals\u003cbr\u003e 11. Design and execution of validation experiments\u003cbr\u003e 12. Model accuracy assessment\u003cbr\u003e 13. Predictive capability\u003cbr\u003e Part V. Planning, Management, and Implementation Issues: 14. Planning and prioritization in modeling and simulation\u003cbr\u003e 15. Maturity assessment of modeling and simulation\u003cbr\u003e 16. Development and responsibilities for verification, validation and uncertainty quantification\u003cbr\u003e Appendix. Programming practices\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Maths for computer scientists [\u003ca title=\"See our other books on Maths for computer scientists\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Maths%20for%20computer%20scientists%20%5BUYAM%5D%22\"\u003eUYAM\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], Differential calculus \u0026amp; equations [\u003ca title=\"See our other books on Differential calculus \u0026amp; equations\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Differential%20calculus%20\u0026amp;%20equations%20%5BPBKJ%5D%22\"\u003ePBKJ\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":46000101097752,"sku":"9780521113601","price":109.19,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521113601i_16f0a2ec-5563-421d-9d9c-193863e317f5.jpg?v=1691371301"},{"product_id":"codes-cryptology-and-curves-with-computer-algebra-paperback-9780521520362","title":"Codes, Cryptology and Curves with Computer Algebra (Paperback) 9780521520362","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eCodes, Cryptology and Curves with Computer Algebra\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eGraduate-level introduction to error-correcting codes, which are used to protect digital data and applied in public key cryptosystems.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eRuud Pellikaan (Author), Xin-Wen Wu (Author), Stanislav Bulygin (Author), Relinde Jurrius (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521520362, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 2 November 2017\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e606 pages, 30 b\/w illus.  305 exercises\u003cbr\u003e22.7 x 15.2 x 3.1 cm, 0.86 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cem\u003e\u003cfont size=\"3\"\u003eI was impressed by the scope of the book: many topics in algebraic coding theory are addressed and now collected in one book. Someone reading the entire book, will obtain a very good overview of algebraic coding theory. Peter Beelen, Nieuw Archief voor Weskunde\u003c\/font\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThis well-balanced text touches on theoretical and applied aspects of protecting digital data. The reader is provided with the basic theory and is then shown deeper fascinating detail, including the current state of the art. Readers will soon become familiar with methods of protecting digital data while it is transmitted, as well as while the data is being stored. Both basic and advanced error-correcting codes are introduced together with numerous results on their parameters and properties. The authors explain how to apply these codes to symmetric and public key cryptosystems and secret sharing. Interesting approaches based on polynomial systems solving are applied to cryptography and decoding codes. Computer algebra systems are also used to provide an understanding of how objects introduced in the book are constructed, and how their properties can be examined. This book is designed for Masters-level students studying mathematics, computer science, electrical engineering or physics.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface Ruud Pellikaan\u003cbr\u003e 1. Error-correcting codes Ruud Pellikaan and Xin-Wen Wu\u003cbr\u003e 2. Code constructions and bounds on codes Ruud Pellikaan and Xin-Wen Wu\u003cbr\u003e 3. Weight enumeration Relinde Jurrius, Ruud Pellikaan and Xin-Wen Wu\u003cbr\u003e 4. Cyclic codes Ruud Pellikaan\u003cbr\u003e 5. Polynomial codes Ruud Pellikaan\u003cbr\u003e 6. Algebraic decoding Ruud Pellikaan and Xin-Wen Wu\u003cbr\u003e 7. Complexity and decoding Stanislav Bulygin, Ruud Pellikaan and Xin-Wen Wu\u003cbr\u003e 8. Codes and related structures Relinde Jurrius and Ruud Pellikaan\u003cbr\u003e 9. Cryptology Stanislav Bulygin\u003cbr\u003e 10. Gröbner bases for coding and cryptology Stanislav Bulygin\u003cbr\u003e 11. Codes on curves Ruud Pellikaan\u003cbr\u003e 12. Coding and cryptology with computer algebra Stanislav Bulygin\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Maths for computer scientists [\u003ca title=\"See our other books on Maths for computer scientists\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Maths%20for%20computer%20scientists%20%5BUYAM%5D%22\"\u003eUYAM\u003c\/a\u003e], 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], 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], Coding theory \u0026amp; cryptology [\u003ca title=\"See our other books on Coding theory \u0026amp; cryptology\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Coding%20theory%20\u0026amp;%20cryptology%20%5BGPJ%5D%22\"\u003eGPJ\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":46005430190360,"sku":"9780521520362","price":48.99,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521520362i_96e668fd-d096-4dd7-96cd-6a734916c082.jpg?v=1691383568"},{"product_id":"acta-numerica-2021-volume-30-hardback-9781009098977","title":"Acta Numerica 2021: Volume 30 (Hardback) 9781009098977","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eActa Numerica 2021: Volume 30\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThe highest rated journal available as a book. Contains state-of-the-art overviews of numerical mathematics and scientific computing.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eArieh Iserles (Edited by), Douglas Arnold (Edited by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781009098977, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 7 October 2021\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e864 pages\u003cbr\u003e25.4 x 18.1 x 3.7 cm, 1.67 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\"\u003eActa Numerica is an annual publication containing invited survey papers by leading researchers in numerical mathematics and scientific computing. The papers present overviews of recent developments in their area and provide state-of-the-art techniques and analysis.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Numerical homogenization beyond scale separation Robert Altmann, Patrick Henning and Daniel Peterseim\u003cbr\u003e 2. Deep learning: a statistical viewpoint Peter L. Bartlett, Andrea Montanari and Alexander Rakhlin\u003cbr\u003e 3. Fit without fear: remarkable mathematical phenomena of deep learning through the prism of interpolation Mikhail Belkin\u003cbr\u003e 4. Optimal transportation, modelling and numerical simulation Jean-David Benamou\u003cbr\u003e 5. Neural network approximation Ronald DeVore, Boris Hanin and Guergana Petrova\u003cbr\u003e 6. Learning physics-based models from data: perspectives from inverse problems and model reduction Omar Ghattas and Karen Willcox\u003cbr\u003e 7. Tensors in computations Lek-Heng Lim\u003cbr\u003e 8. Modelling and computation of liquid crystals Wei Wang, Lei Zhang and Pingwen Zhang.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Maths for computer scientists [\u003ca title=\"See our other books on Maths for computer scientists\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Maths%20for%20computer%20scientists%20%5BUYAM%5D%22\"\u003eUYAM\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":46265388925208,"sku":"9781009098977","price":163.19,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781009098977i.jpg?v=1696782950"},{"product_id":"acta-numerica-2022-volume-31-hardback-9781009220972","title":"Acta Numerica 2022: Volume 31 (Hardback) 9781009220972","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eActa Numerica 2022: Volume 31\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThe highest rated journal available as a book. Contains state-of-the-art overviews of numerical mathematics and scientific computing.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eDouglas Arnold (Edited by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781009220972, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 28 July 2022\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e494 pages\u003cbr\u003e25.2 x 18.1 x 2.4 cm, 1.03 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\"\u003eActa Numerica is an annual publication containing invited survey papers by leading researchers in numerical mathematics and scientific computing. The papers present overviews of recent developments in their area and provide state-of-the-art techniques and analysis.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Schwarz methods by domain truncation Martin J. Gander and Hui Zhang\u003cbr\u003e 2. Turnpike in optimal control of PDEs, ResNets, and beyond Borjan Geshkovski and Enrique Zuazua\u003cbr\u003e 3. Reduced basis methods for time-dependent problems Jan S. Hesthaven, Cecilia Pagliantini and Gianluigi Rozza\u003cbr\u003e 4. Mixed precision algorithms in numerical linear algebra Nicholas J. Higham and Theo Mary\u003cbr\u003e 5. Asymptotic-preserving schemes for multiscale problems Shi Jin.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Maths for computer scientists [\u003ca title=\"See our other books on Maths for computer scientists\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Maths%20for%20computer%20scientists%20%5BUYAM%5D%22\"\u003eUYAM\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":46265405604120,"sku":"9781009220972","price":117.78,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781009220972i_4f8a62a9-1f14-48cf-86f6-3dfc2060ca2a.jpg?v=1696791473"},{"product_id":"tractability-practical-approaches-to-hard-problems-hardback-9781107025196","title":"Tractability; Practical Approaches to Hard Problems (Hardback) 9781107025196","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eTractability\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003ePractical Approaches to Hard Problems\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eAn overview of the techniques developed to circumvent computational intractability, a key challenge in many areas of computer science.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eLucas Bordeaux (Edited by), Youssef Hamadi (Edited by), Pushmeet Kohli (Edited by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781107025196, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 6 February 2014\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e396 pages, 75 b\/w illus.\u003cbr\u003e25.3 x 17.8 x 2 cm, 0.93 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\"\u003eClassical computer science textbooks tell us that some problems are 'hard'. Yet many areas, from machine learning and computer vision to theorem proving and software verification, have defined their own set of tools for effectively solving complex problems. Tractability provides an overview of these different techniques, and of the fundamental concepts and properties used to tame intractability. This book will help you understand what to do when facing a hard computational problem. Can the problem be modelled by convex, or submodular functions? Will the instances arising in practice be of low treewidth, or exhibit another specific graph structure that makes them easy? Is it acceptable to use scalable, but approximate algorithms? A wide range of approaches is presented through self-contained chapters written by authoritative researchers on each topic. As a reference on a core problem in computer science, this book will appeal to theoreticians and practitioners alike.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eContributors\u003cbr\u003e Introduction Lucas Bordeaux, Youssef Hamadi and Pushmeet Kohli\u003cbr\u003e Part I. Graphical Structure: 1. Treewidth and hypertree width Georg Gottlob, Gianluigi Greco and Francesco Scarcello\u003cbr\u003e 2. Perfect graphs and graphical modeling Tony Jebara\u003cbr\u003e Part II. Language Restrictions: 3. Submodular function maximization Andreas Krause and Daniel Golovin\u003cbr\u003e 4. Tractable valued constraints Peter G. Jeavons and Stanislav Živný\u003cbr\u003e 5. Tractable knowledge representation formalisms Adnan Darwiche\u003cbr\u003e Part III. Algorithms and their Analysis: 6. Tree-reweighted message passing Vladimir Kolmogorov\u003cbr\u003e 7. Tractable optimization in machine learning Suvrit Sra\u003cbr\u003e 8. Approximation algorithms Mohit Singh and Kunal Talwar\u003cbr\u003e 9. Kernelization methods for fixed-parameter tractability Fedor V. Fomin and Saket Saurabh\u003cbr\u003e Part IV. Tractability in Some Specific Areas: 10. Efficient submodular function minimization for computer vision Pushmeet Kohli\u003cbr\u003e 11. Towards practical graph-based, iteratively decoded channel codes: insights through absorbing sets Lara Dolecek\u003cbr\u003e Part V. Heuristics: 12. SAT solvers Joao Marques-Silva and Ines Lynce\u003cbr\u003e 13. Tractability and modern satisfiability modulo theories solvers Nikolaj Bjørner and Leonardo de Moura.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Artificial intelligence [\u003ca title=\"See our other books on Artificial intelligence\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Artificial%20intelligence%20%5BUYQ%5D%22\"\u003eUYQ\u003c\/a\u003e], Maths for computer scientists [\u003ca title=\"See our other books on Maths for computer scientists\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Maths%20for%20computer%20scientists%20%5BUYAM%5D%22\"\u003eUYAM\u003c\/a\u003e], 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], Programming \u0026amp; scripting languages: general [\u003ca title=\"See our other books on Programming \u0026amp; scripting languages: general\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Programming%20\u0026amp;%20scripting%20languages:%20general%20%5BUMX%5D%22\"\u003eUMX\u003c\/a\u003e], Algorithms \u0026amp; data structures [\u003ca title=\"See our other books on Algorithms \u0026amp; data structures\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Algorithms%20\u0026amp;%20data%20structures%20%5BUMB%5D%22\"\u003eUMB\u003c\/a\u003e], Optimization [\u003ca title=\"See our other books on Optimization\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Optimization%20%5BPBU%5D%22\"\u003ePBU\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":46265506529560,"sku":"9781107025196","price":94.98,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781107025196i.jpg?v=1692023588"},{"product_id":"acta-numerica-2017-volume-26-hardback-9781108418027","title":"Acta Numerica 2017: Volume 26 (Hardback) 9781108418027","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eActa Numerica 2017: Volume 26\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA high-impact, prestigious, annual publication containing invited surveys by subject leaders. It is essential reading for all practitioners and researchers.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eArieh Iserles (Edited by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781108418027, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 8 June 2017\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e728 pages\u003cbr\u003e25.5 x 18.3 x 3.4 cm, 1.42 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\"\u003eActa Numerica is an annual publication containing invited survey papers by leading researchers in numerical mathematics and scientific computing. The papers present overviews of recent developments in their area and provide state-of-the-art techniques and analysis.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. The nonlinear eigenvalue problem Stefan Güttel and Françoise Tisseur\u003cbr\u003e 2. Randomized algorithms in numerical linear algebra Ravi Kannan and Santosh Vempala\u003cbr\u003e 3. Numerical analysis of strongly nonlinear PDEs Michael Neilan, Abner Salgado and W. Zhang\u003cbr\u003e 4. The cardiovascular system: mathematical modeling, numerical algorithms, clinical applications A. Quarteroni, A. Manzoni and C. Vergara\u003cbr\u003e 5. A survey on structure from motion Onur Özyesi, Vladislav Voroninski, Ronen Basri and Amit Singer\u003cbr\u003e 6. Algebraic multigrid methods Jinchao Xu and Ludmil Zikatonov\u003cbr\u003e 7. Computational aspects of machine learning Mauro Maggioni.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Maths for computer scientists [\u003ca title=\"See our other books on Maths for computer scientists\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Maths%20for%20computer%20scientists%20%5BUYAM%5D%22\"\u003eUYAM\u003c\/a\u003e], Computer science [\u003ca title=\"See our other books on Computer science\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Computer%20science%20%5BUY%5D%22\"\u003eUY\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], Calculus \u0026amp; mathematical analysis [\u003ca title=\"See our other books on Calculus \u0026amp; mathematical analysis\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Calculus%20\u0026amp;%20mathematical%20analysis%20%5BPBK%5D%22\"\u003ePBK\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]\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":46297206030616,"sku":"9781108418027","price":73.99,"currency_code":"GBP","in_stock":false}]},{"product_id":"acta-numerica-2020-volume-29-hardback-9781108843362","title":"Acta Numerica 2020: Volume 29 (Hardback) 9781108843362","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eActa Numerica 2020: Volume 29\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eThe highest rated journal available as a book. Contains state-of-the-art overviews of numerical mathematics and scientific computing.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eArieh Iserles (Edited by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781108843362, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 11 February 2021\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e768 pages\u003cbr\u003e25.3 x 18 x 3.5 cm, 1.5 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\"\u003eActa Numerica is an annual publication containing invited survey papers by leading researchers in numerical mathematics and scientific computing. The papers present overviews of recent developments in their area and provide state-of-the-art techniques and analysis.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Numerical methods for nonlocal and fractional models Marta D'Elia, Qiang Du, Christian Glusa, Max Gunzburger, Xiaochuan Tian and Zhi Zhou\u003cbr\u003e 2. The numerics of phase retrieval Albert Fannjiang and Thomas Strohmer\u003cbr\u003e 3. Computing quantum dynamics in the semiclassical regime Caroline Lasser and Christian Lubich\u003cbr\u003e 4. Randomized numerical linear algebra: foundations and algorithms Per-Gunnar Martinsson and Joel A. Tropp\u003cbr\u003e 5. Fast algorithms using orthogonal polynomials Sheehan Olver, Richard Mikael Slevinsky and Alex Townsend\u003cbr\u003e 6. Essentially non-oscillatory and weighted essentially non-oscillatory schemes Chi-Wang Shu.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Maths for computer scientists [\u003ca title=\"See our other books on Maths for computer scientists\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Maths%20for%20computer%20scientists%20%5BUYAM%5D%22\"\u003eUYAM\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":46297207472408,"sku":"9781108843362","price":156.49,"currency_code":"GBP","in_stock":false}]},{"product_id":"acta-numerica-2018-volume-27-hardback-9781108470520","title":"Acta Numerica 2018: Volume 27 (Hardback) 9781108470520","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eActa Numerica 2018: Volume 27\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eA high-impact, prestigious, annual publication containing invited surveys by subject leaders. It is essential reading for all practitioners and researchers.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eArieh Iserles (Edited by)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781108470520, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 28 June 2018\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e454 pages\u003cbr\u003e25.4 x 18 x 2.2 cm, 0.96 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\"\u003eActa Numerica is an annual publication containing invited survey papers by leading researchers in numerical mathematics and scientific computing. The papers present overviews of recent developments in their area and provide state-of-the-art techniques and analysis.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e1. Modern regularization methods for inverse problems Martin Benning and Martin Burger\u003cbr\u003e 2. Geometric integrators and the Hamiltonian Monto Carlo method Nawaf Bou-Rabee and J. M. Sanz-Serna\u003cbr\u003e 3. Numerical methods for nonlinear equations C. T. Kelley\u003cbr\u003e 4. Finite-volume schemes for shallow-water equations Alexander Kurganov\u003cbr\u003e 5. Adaptive multiscale predictive modelling J. Tinsley Oden.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Maths for computer scientists [\u003ca title=\"See our other books on Maths for computer scientists\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Maths%20for%20computer%20scientists%20%5BUYAM%5D%22\"\u003eUYAM\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":46297238634776,"sku":"9781108470520","price":132.35,"currency_code":"GBP","in_stock":false}]}],"url":"https:\/\/freshlyprintedbooks.co.uk\/collections\/maths-for-computer-scientists.oembed","provider":"Freshly Printed Books","version":"1.0","type":"link"}