Principles of Real Analysis / Edition 3

Principles of Real Analysis / Edition 3

by Charalambos D. Aliprantis
     
 

View All Available Formats & Editions

ISBN-10: 0120502577

ISBN-13: 9780120502578

Pub. Date: 09/09/1998

Publisher: Elsevier Science

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

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. 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

Product Details

ISBN-13:
9780120502578
Publisher:
Elsevier Science
Publication date:
09/09/1998
Edition description:
REV
Pages:
415
Product dimensions:
0.94(w) x 6.14(h) x 9.21(d)

Table of Contents

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

Customer Reviews

Average Review:

Write a Review

and post it to your social network

     

Most Helpful Customer Reviews

See all customer reviews >