Principles of Real Analysis
- 3rd Edition - August 26, 1998
- Imprint: Academic Press
- Author: Charalambos D. Aliprantis
- Editor: Owen Burkinshaw
- Language: English
- Paperback ISBN:9 7 8 - 0 - 1 2 - 3 9 1 0 9 9 - 8
- Hardback ISBN:9 7 8 - 0 - 1 2 - 0 5 0 2 5 7 - 8
- eBook ISBN:9 7 8 - 0 - 0 8 - 0 5 7 3 1 0 - 6
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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Request a sales quoteWith 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
Topology and Continuity
The Theory of Measure
The Lebesgue Integral
Normed Spaces and Lp-Spaces
Hilbert Spaces
Special Topics in Integration
Bibliography
- Edition: 3
- Published: August 26, 1998
- Imprint: Academic Press
- No. of pages: 436
- Language: English
- Paperback ISBN: 9780123910998
- Hardback ISBN: 9780120502578
- eBook ISBN: 9780080573106
OB
Owen Burkinshaw
Affiliations and expertise
Indiana University-Purdue University, Indianapolis , U.S.A.CA
Charalambos D. Aliprantis
Affiliations and expertise
Purdue University, Indianapolis, U.S.A.