Introduction to Partial Differential Equations

Second Edition

Gerald B. Folland

$210

Hardback

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English

Princeton University Press
12 January 1996

Mathematics & Sciences; Differential calculus & equations

Series: Mathematical Notes

The second edition of ""Introduction to Partial Differential Equations"", which originally appeared in the Princeton series Mathematical Notes, serves as a text for mathematics students at the intermediate graduate level. The goal is to acquaint readers with the fundamental classical results of partial differential equations and to guide them into some aspects of the modern theory to the point where they will be equipped to read advanced treatises and research papers. This book includes many more exercises than the first edition, offers a new chapter on pseudodifferential operators, and contains additional material throughout. The first five chapters of the book deal with classical theory: first-order equations, local existence theorems, and an extensive discussion of the fundamental differential equations of mathematical physics. The techniques of modern analysis, such as distributions and Hilbert spaces, are used wherever appropriate to illuminate these long-studied topics. The last three chapters introduce the modern theory: Sobolev spaces, elliptic boundary value problems, and pseudo-differential operators.

By: Gerald B. Folland
Imprint: Princeton University Press
Country of Publication: United States
Edition: Revised edition
Dimensions: Height: 229mm, Width: 152mm, Spine: 22mm
Weight: 652g
ISBN: 9780691043616
ISBN 10: 0691043612
Series: Mathematical Notes
Pages: 336
Publication Date: 12 January 1996
Audience: Professional and scholarly , College/higher education , Undergraduate , Primary
Format: Hardback
Publisher's Status: Active

* Local Existence Theory * The Laplace Operator * Layer Potentials * The Heat Operator * The Wave Operator * The L2 Theory of Derivatives * Elliptic Boundary Value Problems * Pseudodifferential Operators

Gerald B. Folland is Professor of Mathematics at the University of Washington. He is the author of a number of books, including Real Analysis, Fourier Analysis and Its Applications, and Harmonic Analysis in Phase Space (Princeton).

Reviews for Introduction to Partial Differential Equations: Second Edition

The first edition of Folland's text on PDEs used to be my favorite source for a course on DPEs. The new edition includes many more exercises and offers a new chapter on pseudodifferential operators. ... This text book is a pleasant compromise between the modern abstract theory and the concrete classical examples and applications. -- Monatshefte fur Mathematik