Problems in Real Analysis
2nd Edition
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Description
A collection of problems and solutions in real analysis based on the major textbook, Principles of Real Analysis (also by Aliprantis and Burkinshaw), Problems in Real Analysis is the ideal companion for senior science and engineering undergraduates and first-year graduate courses in real analysis. It is intended for use as an independent source, and is an invaluable tool for students who wish to develop a deep understanding and proficiency in the use of integration methods.
Problems in Real Analysis teaches the basic methods of proof and problem-solving by presenting the complete solutions to over 600 problems that appear in Principles of Real Analysis, Third Edition. The problems are distributed in forty sections, and cover the entire spectrum of difficulty.
Key Features
- An ideal companion for senior science and engineering undergraduates and first-year graduate courses in real analysis
- An invaluable tool for students who wish to develop a deep understanding and proficiency in the use of integration methods
- Teaches the basic methods of proof and problem-solving by presenting the complete solutions to over 600 problems
Readership
Graduate students and researchers in mathematics and science, including the social sciences
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
Details
- No. of pages:
- 403
- Language:
- English
- Copyright:
- © Academic Press 1999
- Published:
- 15th October 1998
- Imprint:
- Academic Press
- Hardcover ISBN:
- 9780120502530
- eBook ISBN:
- 9780080573182
About the Author
Charalambos Aliprantis
Affiliations and Expertise
Purdue University, Indianapolis, U.S.A.
Owen Burkinshaw
Affiliations and Expertise
Indiana University-Purdue University, Indianapolis , U.S.A.
Reviews
"First published in 1981 as a textbook for undergraduate seniors and first-year graduate students in math, this iteration adds Fourier analysis, a chapter on Hilbert spaces, and about 150 new problems of varying difficulty. Aliprantis (economics and mathematics, Purdue U.) and Burkinshaw (mathematical sciences, Indiana U., Purdue U.) focus on measure theory via the semiring approach and the Lebesgue integral as well as their applications. They also cover topology and continuity, normed spaces, and special topics in integration. A humanistic touch: brief biographies of historical contributors to real analysis are interwoven throughout the text." --Book News, Inc.®, Portland, OR