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The Princeton companion to applied mathematics /
This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important questions, laws, and func...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Princeton :
Princeton University Press,
[2015]
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| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 0 | 4 | |a The Princeton companion to applied mathematics / |c editor, Nicholas J. Higham, the University of Manchester ; associate editors, Mark R. Dennis, University of Bristol [and four others]. |
| 246 | 3 | 0 | |a Companion to applied mathematics |
| 246 | 3 | 0 | |a Applied mathematics |
| 264 | 1 | |a Princeton : |b Princeton University Press, |c [2015] | |
| 264 | 4 | |c ©2015 | |
| 300 | |a 1 online resource (xvii, 994 pages, 16 unnumbered pages of plates) : |b illustrations (some color) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Cover; Title; Copyright; Contents; Preface; Contributors; Part I Introduction to Applied Mathematics; I.1 What Is Applied Mathematics?; I.2 The Language of Applied Mathematics; I.3 Methods of Solution; I.4 Algorithms; I.5 Goals of Applied Mathematical Research; I.6 The History of Applied Mathematics; Part II Concepts; II. 1 Asymptotics; II. 2 Boundary Layer; II. 3 Chaos and Ergodicity; II. 4 Complex Systems; II. 5 Conformal Mapping; II. 6 Conservation Laws; II. 7 Control; II. 8 Convexity; II. 9 Dimensional Analysis and Scaling; II. 10 The Fast Fourier Transform; II. 11 Finite Differences. | |
| 505 | 8 | |a II. 12 The Finite-Element MethodII. 13 Floating-Point Arithmetic; II. 14 Functions of Matrices; II. 15 Function Spaces; II. 16 Graph Theory; II. 17 Homogenization; II. 18 Hybrid Systems; II. 19 Integral Transforms and Convolution; II. 20 Interval Analysis; II. 21 Invariants and Conservation Laws; II. 22 The Jordan Canonical Form; II. 23 Krylov Subspaces; II. 24 The Level Set Method; II. 25 Markov Chains; II. 26 Model Reduction; II. 27 Multiscale Modeling; II. 28 Nonlinear Equations and Newton's Method; II. 29 Orthogonal Polynomials; II. 30 Shocks; II. 31 Singularities; II. 32 The Singular Value Decomposition. | |
| 505 | 8 | |a II. 33 Tensors and ManifoldsII. 34 Uncertainty Quantification; II. 35 Variational Principle; II. 36 Wave Phenomena; Part III Equations, Laws, and Functions of Applied Mathematics; III. 1 Benford's Law; III. 2 Bessel Functions; III. 3 The Black-Scholes Equation; III. 4 The Burgers Equation; III. 5 The Cahn-Hilliard Equation; III. 6 The Cauchy-Riemann Equations; III. 7 The Delta Function and Generalized Functions; III. 8 The Diffusion Equation; III. 9 The Dirac Equation; III. 10 Einstein's Field Equations; III. 11 The Euler Equations; III. 12 The Euler-Lagrange Equations; III. 13 The Gamma Function. | |
| 505 | 8 | |a III. 14 The Ginzburg-Landau EquationIII. 15 Hooke's Law; III. 16 The Korteweg-de Vries Equation; III. 17 The Lambert W Function; III. 18 Laplace's Equation; III. 19 The Logistic Equation; III. 20 The Lorenz Equations; III. 21 Mathieu Functions; III. 22 Maxwell's Equations; III. 23 The Navier-Stokes Equations; III. 24 The Painlevé Equations; III. 25 The Riccati Equation; III. 26 Schrödinger's Equation; III. 27 The Shallow-Water Equations; III. 28 The Sylvester and Lyapunov Equations; III. 29 The Thin-Film Equation; III. 30 The Tricomi Equation; III. 31 The Wave Equation; Part IV Areas of Applied Mathematics. | |
| 505 | 8 | |a IV. 1 Complex AnalysisIV. 2 Ordinary Differential Equations; IV. 3 Partial Differential Equations; IV. 4 Integral Equations; IV. 5 Perturbation Theory and Asymptotics; IV. 6 Calculus of Variations; IV. 7 Special Functions; IV. 8 Spectral Theory; IV. 9 Approximation Theory; IV. 10 Numerical Linear Algebra and Matrix Analysis; IV. 11 Continuous Optimization (Nonlinear and Linear Programming); IV. 12 Numerical Solution of Ordinary Differential Equations; IV. 13 Numerical Solution of Partial Differential Equations; IV. 14 Applications of Stochastic Analysis; IV. 15 Inverse Problems; IV. 16 Computational Science. | |
| 520 | |a This is the most authoritative and accessible single-volume reference book on applied mathematics. Featuring numerous entries by leading experts and organized thematically, it introduces readers to applied mathematics and its uses; explains key concepts; describes important questions, laws, and functions; looks at exciting areas of research; covers modeling and simulation; explores areas of application; and more. Modeled on the popular Princeton Companion to Mathematics, this volume is an indispensable resource for undergraduate and graduate students, researchers, and practitioners in other disciplines seeking a user-friendly reference book on applied mathematics. -- Front jacket flap. | ||
| 546 | |a In English. | ||
| 542 | |f Copyright © Princeton University Press 2016 |g 2016 | ||
| 590 | |a JSTOR |b Books at JSTOR Evidence Based Acquisitions | ||
| 590 | |a JSTOR |b Books at JSTOR All Purchased | ||
| 590 | |a JSTOR |b Books at JSTOR Demand Driven Acquisitions (DDA) | ||
| 650 | 0 | |a Algebra. | |
| 650 | 0 | |a Mathematics. | |
| 650 | 0 | |a Mathematical models. | |
| 650 | 2 | |a Mathematics | |
| 650 | 2 | |a Models, Theoretical | |
| 650 | 6 | |a Algèbre. | |
| 650 | 6 | |a Mathématiques. | |
| 650 | 6 | |a Modèles mathématiques. | |
| 650 | 7 | |a algebra. |2 aat | |
| 650 | 7 | |a mathematical models. |2 aat | |
| 650 | 7 | |a MATHEMATICS |x General. |2 bisacsh | |
| 650 | 7 | |a Algebra |2 fast | |
| 650 | 7 | |a Mathematical models |2 fast | |
| 650 | 7 | |a Mathematics |2 fast | |
| 650 | 7 | |a Angewandte Mathematik |2 gnd | |
| 700 | 1 | |a Higham, Nicholas J., |d 1961- |e editor. | |
| 700 | 1 | |a Dennis, Mark R., |e editor. | |
| 776 | 0 | 8 | |i Print version: |t Princeton companion to applied mathematics. |d Princeton : Princeton University Press, [2015] |z 9780691150390 |w (DLC) 2015013024 |w (OCoLC)907494918 |
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