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Applied Partial Differential Equations : An Introduction - Alan Jeffrey

Applied Partial Differential Equations

An Introduction

By: Alan Jeffrey

Hardcover | 4 November 2002

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Outline Description of the Book; Preface; Introduction to Partial Differ ential Equations; Linear and Nonlinear First Order Equations and Shock; Classification of Equations and Reduction to Standard Form; Linear Waves Propogation in One or More Space Dimensions; Fourier Series, Legendre a nd Bessel Functions; Background and Separation of Variables with Applica tions; General Results for Linear Elliptic and Parabolic Equations; Hype rbolic Systems, Riemann Invariants, Simple Waves and Compound Riemann Pr oblems; Bibliography; Answers to Odd Numbered Problems; Figures 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.

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