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Partial Differential Equations of Applied Mathematics / Edition 2

Partial Differential Equations of Applied Mathematics / Edition 2

by Erich Zauderer
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A revised and expanded edition of the applied partial differential equations work. This comprehensive, self-contained treatment discusses mathematical models that give rise to PDE's, classifies the equations and problems into different types, and examines exact and approximate methods for solution of these problems. Addresses problems that involve both linear and nonlinear equations of the three basic types, parabolic, hyperbolic, and elliptic. Coverage ranges from solution methods for first-order PDE's to perturbation and asymptotic methods for solving linear and nonlinear higher order equations. Includes a substantial number of new exercises and examples, many with answers. Chapter order is flexible enough to be used for full-year or one-semester courses.

Product Details

ISBN-13: 9780471612988
Publisher: Wiley
Publication date: 07/12/1989
Series: Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts Series , #9
Edition description: 2nd ed
Pages: 891
Product dimensions: 6.51(w) x 9.60(h) x 1.90(d)

About the Author

ERICH ZAUDERER, PhD, is Professor of Mathematics in the Department of Mathematics at Polytechnic University. Prior to joining the faculty of Polytechnic University, he was a Senior Weizmann Fellow at the Weizmann Institute of Science. His research interests include applied mathematics and nonlinear wave propagation, as well as perturbation and asymptotic solutions of partial differential equations.

Table of Contents

Random Walks and Partial Differential Equations.
First Order Partial Differential Equations.
Classification of Equations and Characteristics.
Initial and Boundary Value Problems in Bounded Regions.
Integral Transforms.
Integral Relations.
Green's Functions.
Variational and Other Methods.
Perturbation Methods.
Asymptotic Methods.
Solutions to Selected Exercises.

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