Real Analysis: Modern Techniques and Their Applications / Edition 2

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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.

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Editorial Reviews

Booknews
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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Product Details

Meet 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.

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Table of Contents

Measures.

Integration.

Signed Measures and Differentiation.

Point Set Topology.

Elements of Functional Analysis.

Lp Spaces.

Radon Measures.

Elements of Fourier Analysis.

Elements of Distribution Theory.

Topics in Probability Theory.

More Measures and Integrals.

Bibliography.

Indexes.

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Customer Reviews

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Sort by: Showing 1 Customer Reviews
  • Anonymous

    Posted November 28, 2001

    it's OK if you already know analysis

    The book is very dense, and the proofs (even though good) are not for the beginner. This is an excellent reference book for those doing research, but very difficult for those who have to learn from it.

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