{"product_id":"applied-mathematics-hardback-9781118475805","title":"Applied Mathematics (Hardback) 9781118475805","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eApplied Mathematics\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\"\u003eJ. David Logan (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781118475805, Wiley\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 12 July 2013\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e688 pages\u003cbr\u003e23.6 x 15.5 x 4.3 cm, 1.066 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\"\u003e\u003cp\u003ePraise for the \u003ci\u003eThird Edition\u003cbr\u003e \u003cbr\u003e \u003c\/i\u003e“Future mathematicians, scientists, and engineers should find the book to be an excellent introductory text for coursework or self-study as well as worth its shelf space for reference.”\u003cbr\u003e —MAA Reviews\u003c\/p\u003e \u003cp\u003e\u003ci\u003e\u003cbr\u003e Applied Mathematics, Fourth Edition\u003c\/i\u003e is a thoroughly updated and revised edition on the applications of modeling and analyzing natural, social, and technological processes. The book covers a wide range of key topics in mathematical methods and modeling and highlights the connections between mathematics and the applied and natural sciences.\u003c\/p\u003e \u003cp\u003eThe \u003ci\u003eFourth Edition\u003c\/i\u003e covers both standard and modern topics, including scaling and dimensional analysis; regular and singular perturbation; calculus of variations; Green’s functions and integral equations; nonlinear wave propagation; and stability and bifurcation. The book provides extended coverage of mathematical biology, including biochemical kinetics, epidemiology, viral dynamics, and parasitic disease. In addition, the new edition features:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eExpanded coverage on orthogonality, boundary value problems, and distributions, all of which are motivated by solvability and eigenvalue problems in elementary linear algebra\u003c\/li\u003e \u003cli\u003eAdditional MATLAB® applications for computer algebra system calculations\u003c\/li\u003e \u003cli\u003eOver 300 exercises and 100 illustrations that demonstrate important concepts\u003c\/li\u003e \u003cli\u003eNew examples of dimensional analysis and scaling along with new tables of dimensions and units for easy reference\u003c\/li\u003e \u003cli\u003eReview material, theory, and examples of ordinary differential equations\u003c\/li\u003e \u003cli\u003eNew material on applications to quantum mechanics, chemical kinetics, and modeling diseases and viruses\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eWritten at an accessible level for readers in a wide range of scientific fields, \u003ci\u003eApplied Mathematics, Fourth Edition\u003c\/i\u003e is an ideal text for introducing modern and advanced techniques of applied mathematics to upper-undergraduate and graduate-level students in mathematics, science, and engineering. The book is also a valuable reference for engineers and scientists in government and industry.\u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003ePreface xiii\u003c\/p\u003e \u003cp\u003e\u003cb\u003e1. Dimensional Analysis and One-Dimensional Dynamics 1 \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e1.1 Dimensional Analysis 2\u003c\/p\u003e \u003cp\u003e1.2 Scaling 30\u003c\/p\u003e \u003cp\u003e1.3 Differential Equations 46\u003c\/p\u003e \u003cp\u003e\u003cb\u003e2. Two-Dimensional Dynamical Systems 77 \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e2.1 Phase Plane Phenomena 77\u003c\/p\u003e \u003cp\u003e2.2 Linear Systems 87\u003c\/p\u003e \u003cp\u003e2.3 Nonlinear Systems 94\u003c\/p\u003e \u003cp\u003e2.4 Bifurcations 103\u003c\/p\u003e \u003cp\u003e2.5 Reaction Kinetics112\u003c\/p\u003e \u003cp\u003e2.6 Pathogens 126\u003c\/p\u003e \u003cp\u003e\u003cb\u003e3. Perturbation Methods and Asymptotic Expansions 149\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e3.1 Regular Perturbation 150\u003c\/p\u003e \u003cp\u003e3.2 Singular Perturbation 170\u003c\/p\u003e \u003cp\u003e3.3 Boundary Layer Analysis 179\u003c\/p\u003e \u003cp\u003e3.4 Initial Layers 191\u003c\/p\u003e \u003cp\u003e3.5 The WKB Approximation 202\u003c\/p\u003e \u003cp\u003e3.6 Asymptotic Expansion of Integrals 210\u003c\/p\u003e \u003cp\u003e\u003cb\u003e4. Calculus of Variations 221 \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e4.1 Variational Problems 221\u003c\/p\u003e \u003cp\u003e4.2 Necessary Conditions for Extrema 227\u003c\/p\u003e \u003cp\u003e4.3 The Simplest Problem 236\u003c\/p\u003e \u003cp\u003e4.4 Generalizations 245\u003c\/p\u003e \u003cp\u003e4.5 Hamilton's Principle 253\u003c\/p\u003e \u003cp\u003e4.6 Isoperimetric Problems 266\u003c\/p\u003e \u003cp\u003e\u003cb\u003e5. Eigenvalue Problems, Integral Equations, and Green's Functions 275 \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e5.1 Boundary-Value Problems 277\u003c\/p\u003e \u003cp\u003e5.2 Sturm--Liouville Problems 284\u003c\/p\u003e \u003cp\u003e5.3 Classical Fourier Series 310\u003c\/p\u003e \u003cp\u003e5.4 Integral Equations 317\u003c\/p\u003e \u003cp\u003e5.5 Green's Functions 339\u003c\/p\u003e \u003cp\u003e5.6 Distributions 352\u003c\/p\u003e \u003cp\u003e\u003cb\u003e6. Partial Differential Equations 365 \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e6.1 Basic Concepts 365\u003c\/p\u003e \u003cp\u003e6.2 Conservation Laws 375\u003c\/p\u003e \u003cp\u003e6.3 Equilibrium Equations 397\u003c\/p\u003e \u003cp\u003e6.4 Eigenfunction Expansions 404\u003c\/p\u003e \u003cp\u003e6.5 Integral Transforms 415\u003c\/p\u003e \u003cp\u003e6.6 Stability of Solutions 435\u003c\/p\u003e \u003cp\u003e6.7 Distributions 443\u003c\/p\u003e \u003cp\u003e\u003cb\u003e7. Wave Phenomena 457 \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e7.1 Waves 457\u003c\/p\u003e \u003cp\u003e7.2 Nonlinear Waves 470\u003c\/p\u003e \u003cp\u003e7.3 Quasi-linear Equations 488\u003c\/p\u003e \u003cp\u003e7.4 The Wave Equation 497\u003c\/p\u003e \u003cp\u003e\u003cb\u003e8. Mathematical Models of Continua 523 \u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e8.1 Kinematics and Mass Conservation 524\u003c\/p\u003e \u003cp\u003e8.2 Momentum and Energy 534\u003c\/p\u003e \u003cp\u003e8.3 Gas Dynamics 551\u003c\/p\u003e \u003cp\u003e8.4 Fluid Motions in R\u003csup\u003e3 \u003c\/sup\u003e560\u003c\/p\u003e \u003cp\u003e\u003cb\u003e9. Discrete Models 585\u003c\/b\u003e\u003c\/p\u003e \u003cp\u003e9.1 One-Dimensional Models. 586\u003c\/p\u003e \u003cp\u003e9.2 Systems of Difference Equations 599\u003c\/p\u003e \u003cp\u003e9.3 Stochastic Models 619\u003c\/p\u003e \u003cp\u003e9.4 Probability-Based Models 636\u003c\/p\u003e \u003cp\u003eIndex 653\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: 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]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Wiley","offers":[{"title":"Brand New","offer_id":52472079679768,"sku":"9781118475805","price":89.99,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/files\/9781118475805.jpg?v=1785716440","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/applied-mathematics-hardback-9781118475805","provider":"Freshly Printed Books","version":"1.0","type":"link"}