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An Introduction to Partial Differential Equations By Michael Renardy

An Introduction to Partial Differential Equations by Michael Renardy

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Summary

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.

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An Introduction to Partial Differential Equations Summary

An Introduction to Partial Differential Equations by Michael Renardy

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.

An Introduction to Partial Differential Equations Reviews

From the reviews of the second edition:

This second edition of the book from 1993 is still one of the most modern books about PDEs. ... There is a number of ... 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 fur Angewandte Mathematik und Mechanik, Vol. 84(10-11), 2004)

An Introduction to Partial Differential Equations (2nd ed.) is a very careful exposition of functional analytic methods applied to PDEs. ... 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. ... acts and feels like a standard book in a specific area of mathematics. ... The Renardy and Rogers text contains a large number of problems ... . For students, these problems will be challenging and interesting. ... is a great book. (Ronald B. Guenther, Enrique A. Thomann, SIAM Reviews, Vol. 47(1), 2005)

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. ... the authors describe it as a book for three or four semesters. ... 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)

About Michael Renardy


Table of Contents

Introduction* Characteristics* Classification of Characteristics * Conservation Laws and Shocks* Maximum Principles* Distributions* Function Spaces* Sobolev Spaces * Operator Theory * Linear Elliptic Equations * Nonlinear Elliptic Equations * Energy Methods for Evolution Problems * Semigroup Methods * References * Index

Additional information

NLS9781441918208
9781441918208
1441918205
An Introduction to Partial Differential Equations by Michael Renardy
New
Paperback
Springer-Verlag New York Inc.
20101215
434
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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