Principles of Real Analysis by Charalambos D Aliprantis

Principles of Real Analysis by Charalambos D Aliprantis

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Summary

Introduces students to the fundamentals of the theory of measure and functional analysis. This work includes a chapter on Hilbert spaces, and covers the basic theory of integration using a practical synthesis of the "Daniell Method" and the measure theoretic approach. It also offers a connection between real analysis and functional analysis.

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Principles of Real Analysis by Charalambos D Aliprantis

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.
"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
SKU Unavailable
ISBN 13 9780120502578
ISBN 10 0120502577
Title Principles of Real Analysis
Author Charalambos D Aliprantis
Condition Unavailable
Publisher Elsevier Science Publishing Co Inc
Year published 1998-09-02
Number of pages 436
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.