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Principles of Real Analysis by Charalambos D. Aliprantis (1998, Hardcover)

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Publisher: Academic Press ISBN 13: 9780120502578. Author: Charalambos D. Aliprantis, Owen Burkinshaw ISBN 10: 0120502577. Title: Principles of Real Analysis Item Condition: New. Books will be free of page markings.

About this product

Product Identifiers

Publisher
Elsevier Science & Technology
ISBN-10
0120502577
ISBN-13
9780120502578
eBay Product ID (ePID)
484225

Product Key Features

Number of Pages
415 Pages
Publication Name
Principles of Real Analysis
Language
English
Subject
Functional Analysis, Mathematical Analysis
Publication Year
1998
Features
Revised
Type
Textbook
Author
Charalambos D. Aliprantis
Subject Area
Mathematics
Format
Hardcover

Dimensions

Item Height
0.5 in
Item Weight
28.9 Oz
Item Length
9.3 in
Item Width
6 in

Additional Product Features

Edition Number
3
Intended Audience
Scholarly & Professional
LCCN
98-003955
Dewey Edition
19
Reviews
"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, "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, "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
Illustrated
Yes
Dewey Decimal
515.4/2
Edition Description
Revised edition
Table Of Content
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 Bibliography
Synopsis
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. 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, 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.
LC Classification Number
QA300.A48 1998