Applied Partial Differential Equations An Introduction [Hardcover]

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.

* Includes new and important materials necessary to meet current demands made by diverse applications
* Very detailed solutions to odd numbered problems to help students
* Instructor's Manual AvailableOutline Description of the Book; Preface; Introduction to Partial Differential 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 and Bessel Functions; Background and Separation of Variables with Applications; General Results for Linear Elliptic and Parabolic Equations; Hyperbolic Systems, Riemann Invariants, Simple Waves and Compound Riemann Problems; Bibliography; Answers to Odd Numbered Problems; FiguresA modern introduction to partial differential equations with an emphasis on solving current, real problems.Jeffrey provides a modern, useful introduction to Partial Differential Equations with an emphasis on using the theory to solve current, real problems. Various applications leading to linear elliptic, parabolic and hyperbolic equations are considered in detail, together with the important
effects of nonlinearity in the case of hyperbolic equations and systems.

Foremost amongst thelÈ