Principles of Real Analysis

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The new, third edition of this successful text covers the basic theory of integration in a clear, well-organized manner. The authors present an imaginative and highly practical synthesis of the "Daniell method" and the measure theoretic approach. It is the ideal text for undergraduate and first-year graduate courses in real analysis.

Audience: Upper-level graduate or undergraduate students studying real analysis.

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Overview

The new, third edition of this successful text covers the basic theory of integration in a clear, well-organized manner. The authors present an imaginative and highly practical synthesis of the "Daniell method" and the measure theoretic approach. It is the ideal text for undergraduate and first-year graduate courses in real analysis.

Audience: Upper-level graduate or undergraduate students studying real analysis.

Read More Show Less

Editorial Reviews

Booknews
Textbook for senior undergraduate and first-year graduate courses. Assumes familiarity with advanced calculus and fundamental algebraic concepts. Covers the basic theory of integration using a practical synthesis of the "Daniell method" and the measure-theoretic approach. Corrected and slightly amended from the first edition (1981). Annotation c. Book News, Inc., Portland, OR (booknews.com)
From the Publisher
"All in all, this is a beautiful selection and a masterfully balanced presentation of the fundamentals of contemporary measure and integration theory which can be grasped easily by the student."
-J. Lorenz in ZENTRALBLATT FUR MATEMATIK

"A clear and precise treatment of the subject. All details are given in the text...I used a portion of the book on extension of measures and product measures in a graduate course in real analysis. There are many exercises of varying degrees of difficulty. I highly recommend this book for classroom use."
-CASPAR GOFFMAN, Department of Mathematics, Purdue University

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Product Details

  • ISBN-13: 9780444004482
  • Publisher: Elsevier Science
  • Publication date: 2/28/1981
  • Pages: 288

Table of Contents

Preface
Ch. 1 Fundamentals of Real Analysis 1
Ch. 2 Topology and Continuity 57
Ch. 3 The Theory of Measure 93
Ch. 4 The Lebesgue Integral 161
Ch. 5 Normed Spaces and L[subscript p]-Spaces 217
Ch. 6 Hilbert Spaces 275
Ch. 7 Special Topics in Integration 325
Bibliography 399
List of Symbols 401
Index 403
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