Cover image for Principles of real analysis
Title:
Principles of real analysis
Author:
Aliprantis, Charalambos D.
Personal Author:
Edition:
Third edition.
Publication Information:
San Diego : Academic Press, [1998]

©1998
Physical Description:
x, 415 pages : illustrations ; 25 cm
Language:
English
Added Author:
ISBN:
9780120502578
Format :
Book

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Library
Call Number
Material Type
Home Location
Status
Central Library QA300 .A48 1998 Adult Non-Fiction Non-Fiction Area
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Summary

Summary

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


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

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