Applied Partial Differential Equations : An Introduction

This book is written to meet the needs of undergraduates in applied mathematics, physics and engineering studying partial differential equations. It is a more modern, comprehensive treatment intended for students who need more than the purely numerical solutions provided by programs like the MATLAB PDE Toolbox, and those obtained by the method of separation of variables, which is usually the only theoretical approach found in the majority of elementary textbooks.

This will fill a need in the market for a more modern text for future working engineers, and one that students can read and understand much more easily than those currently on the market.

Preface

Chapter 1 : Introduction to Partial Differential Equations
Chapter 2 : Linear and Nonlinear First-Order Equations and Shocks
Chapter 3 : Classification of Equations and Reduction to Standard Form
Chapter 4 : Linear Wave Propagation in One or More Space Dimensions
Chapter 5 : Fourier Series, Legendre and Bessel Functions
Chapter 6 : Background to Separation to Variables with Applications
Chapter 7 : General Results for Linear Elliptic and Parabolic Equations
Chapter 8 : Hyperbolic Systems, Riemann Invariants, Simple Waves, and Compound Riemann Problems

Answers to Odd-Numbered Exercies
Bibliography
Index