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Principles of Real Analysis
     

Principles of Real Analysis

by Charalambos D. Aliprantis, Owen Burkinshaw
 
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. The authors have included a new chapter on Hilbert Spaces as well as integrated over 150 new exercises throughout. This Third Edition covers the basic theory of integration in a

Overview

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. The authors have included a new chapter on Hilbert Spaces as well as integrated over 150 new exercises throughout. This Third Edition covers the basic theory of integration in a clear, well-organized manner, using an imaginative and highly practical synthesis of the "Daniel Method" and the measure theoretic approach. Students will be challenged by the more than 600 exercises in the book. Topics are treated rigorously, illustrated by examples, offering a clear connection between real analysis and functional analysis.

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

Product Details

ISBN-13:
9780444004482
Publisher:
Elsevier Science
Publication date:
02/28/1981
Pages:
288

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