Principles of Real Analysis

Principles of Real Analysis

3rd Edition - August 26, 1998

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  • Editor: Owen Burkinshaw
  • Hardcover ISBN: 9780120502578

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With the success of its previous editions, Principles of Real Analysis, Third Edition, continues to introduce students to the fundamentals of the theory of measure and functional analysis. In this thorough update, the authors have included a new chapter on Hilbert spaces as well as integrating over 150 new exercises throughout. The new edition covers the basic theory of integration in a clear, well-organized manner, using an imaginative and highly practical synthesis of the "Daniell Method" and the measure theoretic approach. Students will be challenged by the more than 600 exercises contained in the book. Topics are illustrated by many varied examples, and they provide clear connections between real analysis and functional analysis.

Key Features

  • Gives a unique presentation of integration theory
  • Over 150 new exercises integrated throughout the text
  • Presents a new chapter on Hilbert Spaces
  • Provides a rigorous introduction to measure theory
  • Illustrated with new and varied examples in each chapter
  • Introduces topological ideas in a friendly manner
  • Offers a clear connection between real analysis and functional analysis
  • Includes brief biographies of mathematicians


Upper-level graduate or undergraduate students studying real analysis

Table of Contents

  • Fundamentals of Real Analysis
    Topology and Continuity
    The Theory of Measure
    The Lebesgue Integral
    Normed Spaces and Lp-Spaces
    Hilbert Spaces
    Special Topics in Integration

Product details

  • No. of pages: 415
  • Language: English
  • Copyright: © Academic Press 1998
  • Published: August 26, 1998
  • Imprint: Academic Press
  • Hardcover ISBN: 9780120502578

About the Editor

Owen Burkinshaw

Affiliations and Expertise

Indiana University-Purdue University, Indianapolis , U.S.A.

About the Author

Charalambos Aliprantis

Affiliations and Expertise

Purdue University, Indianapolis, U.S.A.

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