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Real Analysis : Modern Techniques and Their Applications

Real Analysis : Modern Techniques and Their Applications - 2nd edition

ISBN13: 978-0471317166

Cover of Real Analysis : Modern Techniques and Their Applications 2ND 99 (ISBN 978-0471317166)
ISBN13: 978-0471317166
ISBN10: 0471317160
Cover type:
Edition/Copyright: 2ND 99
Publisher: John Wiley & Sons, Inc.
Published: 1999
International: No
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Real Analysis : Modern Techniques and Their Applications - 2ND 99 edition

ISBN13: 978-0471317166

Gerald B. Folland

ISBN13: 978-0471317166
ISBN10: 0471317160
Cover type:
Edition/Copyright: 2ND 99
Publisher: John Wiley & Sons, Inc.

Published: 1999
International: No
Summary

Real analysis is the section of mathematics that studies the functions of real variables such as measurements, integrations, and topology results. 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 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.

Author Bio

Folland, Gerald B. : University of Washington - Seattle

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.

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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