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Principles of Real Analysis
3rd Edition - August 26, 1998
Author: Charalambos D. Aliprantis
Editor: Owen Burkinshaw
Language: English
Hardback ISBN:9780120502578
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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 functi…Read more
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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
Upper-level graduate or undergraduate students studying real analysis
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
No. of pages: 436
Language: English
Edition: 3
Published: August 26, 1998
Imprint: Academic Press
Hardback ISBN: 9780120502578
OB
Owen Burkinshaw
Affiliations and expertise
Indiana University-Purdue University, Indianapolis , U.S.A.