Partial Differential Equations (AMS Chelsea Publishing) - Paul R. Garabedian, P.R. Garabedian, Paul Garabedian (1998)
ISBN 0821813773
Subject Differential equations, Partial
Publisher Chelsea Pub Co
Publication Date June 1998
Format Hardcover (231 x 155 mm)
Language eng
This book is a gem. It fills the gap between the standard introductory material on PDEs that an undergraduate is likely to encounter after a good ODE course (separation of variables, the basics of the second-order equations from mathematical physics) and the advanced methods (such as Sobolev spaces and fixed point theorems) that one finds in modern books. Although this is not designed as a textbook for applied mathematics, the approach is strongly informed by applications. For instance, there are many existence and uniqueness results, but they are usually approached via very concrete techniques.

The text contains the standard topics that one expects in an intermediate PDE course: the Dirichlet and Neumann problems, Cauchy's problem, characteristics, the fundamental solution, PDEs in the complex domain, plus a chapter on finite differences, on nonlinear fluid mechanics, and another on integral equations. It is an excellent text for advanced undergraduates or beginning graduate students in mathematics or neighboring fields, such as engineering and physics, where PDEs play a central role.

Personal Details
Collection Status In Collection
Index 1926
Read It Yes
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Product Details
LoC Classification QA377 .G26 1986
Dewey 515.3/53
Edition 2nd ed.
Cover Price $62.00
No. of Pages 672
Includes index.