Real Analysis: Modern Techniques and Their Applications / Edition 2

by Gerald B. Folland

Overview

An in-depth look at real analysis and its applications-now expanded and revised.

This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject. Encompassing several subjects that underlie much of modern analysis, the book focuses on measure and integration theory, point set topology, and the basics of functional analysis. It illustrates the use of the general theories and introduces readers to other branches of analysis such as Fourier analysis, distribution theory, and probability theory.

This edition is bolstered in content as well as in scope-extending its usefulness to students outside of pure analysis as well as those interested in dynamical systems. The numerous exercises, extensive bibliography, and review chapter on sets and metric spaces make Real Analysis: Modern Techniques and Their Applications, Second Edition invaluable for students in graduate-level analysis courses. New features include:
* Revised material on the n-dimensional Lebesgue integral.
* An improved proof of Tychonoff's theorem.
* Expanded material on Fourier analysis.
* A newly written chapter devoted to distributions and differential equations.
* Updated material on Hausdorff dimension and fractal dimension.

Product Details

ISBN-13:	9780471317166
Publisher:	Wiley
Publication date:	04/07/1999
Series:	Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts , #40
Edition description:	REV
Pages:	416
Product dimensions:	6.45(w) x 9.50(h) x 1.10(d)

About the Author

GERALD B. FOLLAND is Professor of Mathematics at the University of Washington in Seattle. He has written extensively on mathematical analysis, including Fourier analysis, harmonic analysis, and differential equations.

Table of Contents

Measures.

Integration.

Signed Measures and Differentiation.

Point Set Topology.

Elements of Functional Analysis.

L¯p Spaces.

Radon Measures.

Elements of Fourier Analysis.

Elements of Distribution Theory.

Topics in Probability Theory.

More Measures and Integrals.

Bibliography.

Indexes.

Editorial Reviews

Covers real analysis in greater detail and at a more advanced level than most books on the subject. Encompassing several subjects that underlie much of modern analysis, focus is on measure and integration theory, point set topology, and the basics of functional analysis. Illustrates use of the general theories and introduces readers to other branches of analysis such as Fourier analysis, distribution theory, and probability theory. This second edition offers material of interest to students outside of pure analysis as well as those interested in dynamical systems. Includes a review of sets and metric spaces, plus chapter exercises. For graduate students. Annotation c. by Book News, Inc., Portland, Or.

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