Principles of Real Analysis / Edition 2

Principles of Real Analysis / Edition 2

by Charalambos D. Aliprantis
     
 

ISBN-10: 0120502550

ISBN-13: 9780120502554

Pub. Date: 02/28/1990

Publisher: Elsevier Science & Technology Books

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.
This edition offers a new…  See more details below

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.
This edition offers a new chapter on Hilbert Spaces and integrates over 150 new exercises. New and varied examples are included for each chapter. Students will be challenged by the more than 600 exercises. Topics are treated rigorously, illustrated by examples, and offer a clear connection between real and functional analysis.
This text can be used in combination with the authors' Problems in Real Analysis, 2nd Edition, also published by Academic Press, which offers complete solutions to all exercises in the Principles text.
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
"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 für Mathematik
"...a clear and precise treatment of the subject. There are many exercises of varying degreesof difficulty. I highly recommend this book for classroom use."
--CASPAR GOFFMAN, Department of Mathematics, Purdue University

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Product Details

ISBN-13:
9780120502554
Publisher:
Elsevier Science & Technology Books
Publication date:
02/28/1990
Edition description:
Older Edition
Pages:
304
Product dimensions:
6.14(w) x 9.21(h) x 0.80(d)

Table of Contents

Preface
Ch. 1Fundamentals of Real Analysis1
Ch. 2Topology and Continuity57
Ch. 3The Theory of Measure93
Ch. 4The Lebesgue Integral161
Ch. 5Normed Spaces and L[subscript p]-Spaces217
Ch. 6Hilbert Spaces275
Ch. 7Special Topics in Integration325
Bibliography399
List of Symbols401
Index403

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