Analysis

ISBN-10: 0821827839
ISBN-13: 9780821827833
Edition: 2nd 2001 (Revised)
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Description: Significantly revised and expanded, this new Second Edition provides readers at all levels-from beginning students to practicing analysts-with the basic concepts and standard tools necessary to solve problems of analysis, and how to apply these  More...

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Book details

List price: $48.00
Edition: 2nd
Copyright year: 2001
Publisher: American Mathematical Society
Publication date: 3/21/2001
Binding: Hardcover
Pages: 348
Size: 7.50" wide x 10.50" long x 1.00" tall
Weight: 2.222
Language: English

Significantly revised and expanded, this new Second Edition provides readers at all levels-from beginning students to practicing analysts-with the basic concepts and standard tools necessary to solve problems of analysis, and how to apply these concepts to research in a variety of areas. Authors Elliott Lieb and Michael Loss take you quickly from basic topics to methods that work successfully in mathematics and its applications. While omitting many usual typical textbook topics, Analysis includes all necessary definitions, proofs, explanations, examples, and exercises to bring the reader to an advanced level of understanding with a minimum of fuss, and, at the same time, doing so in a rigorous and pedagogical way. Many topics that are useful and important, but usually left to advanced monographs, are presented in Analysis, and these give the beginner a sense that the subject is alive and growing.

Measure and integration $L^p$-spaces
Rearrangement inequalities Integral inequalities
The Fourier transform Distributions
The Sobolev spaces $H^1$ and $H^{1/2}$
Sobolev inequalities Potential theory and Coulomb energies
Regularity of solutions of Poisson's equation
Introduction to the calculus of variations
More about eigenvalues Part Title
List of symbols
References
Index

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