Linear Partial Differential Equations: For Scientists and Engineers

Preface to the Fourth Edition

Preface to the Third Edition

Introduction

First-Order, Quasi-Linear Equations and Method of Characteristics

Mathematical Models

Classification of Second-Order Linear Equations

The Cauchy Problem and Wave Equations

Fourier Series and Integrals with Applications

Method of Separation of Variables

Eigenvalue Problems and Special Functions

Boundary-Value Problems and Applications

Higher-Dimensional Boundary-Value Problems

Green's Functions and Boundary-Value Problems

Integral Transform Methods with Applications

Nonlinear Partial Differential Equations with Applications

Numerical and Approximation Methods

Tables of Integral Transforms

Answers and Hints to Selected Exercises

Appendix: Some Special Functions and Their Properties

Bibliography

Index