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Partial Differential Equations (2E) by Gerald B. Folland

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About this book :-
Partial Differential Equations (2E) written by Gerald B. Folland
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
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 pseudodifferential operators.
(Gerald B. Folland)

Book Detail :-
Title: Partial Differential Equations
Edition: 2nd
Author(s): Gerald B. Folland
Publisher: Princeton University Press
Series:
Year: 1995
Pages: 334
Type: PDF
Language: English
ISBN: 9780691043616, 0691043612
Country: US
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About Author :-
Author Gerald Budge Folland is an American mathematician and a professor of mathematics at the University of Washington. His areas of interest are harmonic analysis (on both Euclidean space and Lie groups), differential equations, and mathematical physics. The title of his doctoral dissertation at Princeton University (1971) is "The Tangential Cauchy-Riemann Complex on Spheres".
He is the author of several textbooks in mathematical analysis. In 2012 he became a fellow of the American Mathematical Society.

All Famous Books of this Author :-
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Book Contents :-
Partial Differential Equations (2E) written by Gerald B. Folland cover the following topics.
0. PRELIMINARIES
1. LOCAL EXISTENCE THEORY
2. THE LAPLACE OPERATOR
3. LAYER POTENTIALS
4. THE HEAT OPERATOR
5. THE WAVE OPERATOR
6. THE L2 THEORY OF DERIVATIVES
7. ELLIPTIC BOUNDARY VALUE PROBLEMS
8. PSEUDODIFFERENTIAL OPERATORS
BIBLIOGRAPHY
INDEX OF SY~IBOLS
INDEX


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