Overview

Partial differential equations are fundamental to the modeling of natural phenomena. The desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians and has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. This book, meant for a beginning graduate audience, provides a thorough introduction to partial differential equations.

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9780387891187

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From the reviews of the second edition: <p> This second edition of the book from 1993 is still one of the most modern books about PDEs. a ] There is a number of a ] new examples and exercises, or new sections about Sobolev spaces and nonlinear variational problems. The book is written very well and can be strongly recommended as a textbook for a number of PDE courses. The presentation of a number of subjects is the best available in the literature. (G. Schneider, Zeitschrift fA1/4r Angewandte Mathematik und Mechanik, Vol. 84(10-11), 2004) <p> An Introduction to Partial Differential Equations (2nd ed.) is a very careful exposition of functional analytic methods applied to PDEs. a ] a self-contained text that can be used as the basis of an advanced course in PDEs or as an excellent guide for self-study by a motivated reader. a ] acts and feels like a standard book in a specific area of mathematics. ... The Renardy and Rogers text contains a large number of problems a ] . For students, these problems will be challenging and interesting. a ] is a great book. (Ronald B. Guenther, Enrique A. Thomann, SIAM Reviews, Vol. 47(1), 2005) <p> The purpose of this book is to put the topic of differential equations on the same footing in the graduate curriculum as algebra and analysis. a ] the authors describe it as a book for three or four semesters. a ] they succeed admirably. The book is extremely well-written with lots of examples and motivation for the theory. (Gary M. Lieberman, Zentralblatt MATH, Vol. 1072, 2005)

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