Elementary Applied Partial Differential Equations / Edition 2

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Overview

Emphasizing the physical interpretation of mathematical solutions, this book introduces applied mathematics while presenting partial differential equations.Topics addressed include heat equation, method of separation of variables, Fourier series, Sturm-Liouville eigenvalue problems, finite difference numerical methods for partial differential equations, nonhomogeneous problems, Green's functions for time-independent problems, infinite domain problems, Green's functions for wave and heat equations, the method of characteristics for linear and quasi-linearwave equations and a brief introduction to Laplace transform solution ofpartial differential equations.For scientists and engineers.
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Editorial Reviews

Booknews
A textbook suitable for courses covering such subjects as Fourier series, orthogonal functions, boundary value problems, Green's functions, transform methods, or advanced engineering mathematics and mathematical models in the physical sciences. Assumes a working knowledge of calculus and elementary differential equations. Emphasizes simple models such as heat flow, vibrating strings, and membranes; and formulates equations from physical principles; and offers physical interpretations of mathematical results. First published in 1983 and here revised only slightly from the 1987 edition. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

  • ISBN-13: 9780132528757
  • Publisher: Prentice Hall Professional Technical Reference
  • Publication date: 11/28/1986
  • Edition description: Older Edition
  • Edition number: 2
  • Pages: 544

Table of Contents

Preface
1 Heat Equation 1
2 Method of Separation of Variables 32
3 Fourier Series 86
4 Vibrating Strings and Membranes 130
5 Sturm-Liouville Eigenvalue Problems 151
6 An Elementary Discussion of Finite Difference Numerical Methods for Partial Differential Equations 215
7 Partial Differential Equations with At Least Three Independent Variables 266
8 Nonhomogeneous Problems 337
9 Green's Functions for Time-Independent Problems 370
10 Infinite Domain Problems - Fourier Transform Solutions of Partial Differential Equations 434
11 Green's Functions for Time-Dependent Problems 495
12 The Method of Characteristics for Linear and Quasi-Linear Wave Equations 525
13 A Brief Introduction to Laplace Transform Solution of Partial Differential Equations 568
14 Topics: Dispersive Waves, Stability, Nonlinearity, and Perturbation Methods 598
Bibliography 691
Selected Answers to Starred Exercises 695
Index 714
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