Problems in Real Analysis - 2nd Edition - ISBN: 9780120502530, 9780080573182

Problems in Real Analysis

2nd Edition

Authors: Charalambos Aliprantis Owen Burkinshaw
eBook ISBN: 9780080573182
Hardcover ISBN: 9780120502530
Imprint: Academic Press
Published Date: 15th October 1998
Page Count: 403
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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:
Imprint:
Academic Press
eBook ISBN:
9780080573182
Hardcover ISBN:
9780120502530

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

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