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Partial Differential Equations of Applied Mathematics, 3rd Edition
Partial Differential Equations of Applied Mathematics, 3rd Edition
Erich Zauderer, Polytechnic Institute of New York, Brooklyn
ISBN: 978-0-471-69073-3
©2006
968 pages
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Description  |  Author Info  |  Table of Contents  |  New to This Edition
Description
The book begins with a demonstration of how the three basic types of equations (parabolic, hyperbolic, and elliptic) can be derived from random walk models.  It continues in a less statistical vein to cover an exceptionally broad range of topics, including stabilities, singularities, transform methods, the use of Green's functions, and perturbation and asymptotic treatments.  The idea of the book is to present some numerical methods for the solution of PDEs, not simply in the abstract and accompanied by some elementary manually generated solutions.  Rather, this book allows for the analysis and numerical solution of some tougher problems.  The introduction of computer codes (Maple) to implement the solution of PDEs via direct numerical methods, such as finite difference and finite element methods, enhance this new edition.  However, it is possible to use the text as in the past without making use of the new Maple material.  

An Instructor's Manual presenting detailed solutions to all the problems in the book is available upon request from the Wiley editorial department.  

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