Real Analysis: Modern Techniques and Their Applications / Edition 2

Real Analysis: Modern Techniques and Their Applications / Edition 2

3.0 1
by Gerald B. Folland, G. B. Folland
     
 

ISBN-10: 0471317160

ISBN-13: 9780471317166

Pub. Date: 04/28/1999

Publisher: Wiley

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,

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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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Product Details

ISBN-13:
9780471317166
Publisher:
Wiley
Publication date:
04/28/1999
Series:
Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts Series, #40
Edition description:
REV
Pages:
408
Sales rank:
433,680
Product dimensions:
6.48(w) x 9.43(h) x 1.02(d)

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.

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Real Analysis: Modern Techniques and Their Applications 3 out of 5 based on 0 ratings. 1 reviews.
Guest More than 1 year ago
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.