Problems in Real Analysis, Second Edition [Hardcover]

Charalambos D. Aliprantis (Author), Owen Burkinshaw (Author)

Book Description

Publication Date: October 21, 1998 | ISBN-10: 0120502534 | ISBN-13: 978-0120502530 | Edition: 2

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.

Editorial Reviews

Review

From Book News, Inc.
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

From the Back Cover

Professors Aliprantis and Burkinshaw's Problems in Real Analysis, 2nd Edition, is designed to equip the reader with the tools to succeed in the real Analysis course. Published as a companion to their successful Principles of Real Analysis, 3rd Edition, this book teaches the basic methods of proof and problem-solving by presenting the complete solutions to over 600 problems that appeal in Principles of Real Analysis. The problem sets cover the entire spectrum of difficulty: some are routine, some require a good grasp of the material involved, and some are exceptionally challenging.
This is the first book to offer complete solutions to graduate level problems in real analysis. It is ideal for all under graduate and first-year graduate analysis courses. Students and scholars from all branches of science and engineering will also find this collection of problems an invaluable reference source.

Product Details

• Hardcover: 403 pages
• Publisher: Academic Press; 2 edition (October 21, 1998)
• Language: English
• ISBN-10: 0120502534
• ISBN-13: 978-0120502530
• Product Dimensions: 9.9 x 7.1 x 1.2 inches
• Shipping Weight: 2 pounds (View shipping rates and policies)
• Average Customer Review: 4.8 out of 5 stars  See all reviews (4 customer reviews)
• Amazon Best Sellers Rank: #305,799 in Books (See Top 100 in Books)

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Most Helpful Customer Reviews

27 of 27 people found the following review helpful:

5.0 out of 5 stars Very good for struggling in Real Analysis, October 23, 2004

By 

Wei Hsien Li "CC" (United States) - See all my reviews
(REAL NAME)   

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This review is from: Problems in Real Analysis, Second Edition (Hardcover)

There is no problem solutions for Real Analysis texts available in U.S. since most of the teachers believe that Math students in grad level should be more creative. However, not all students in Real Analysis are potential mathmatician. If they lost in class and must study by theirselves, they may feel frustrated missing all the stuff contained in problems. The material in "Principles of Real Analysis" may not superior much than other famous text(like Royden, I think Royden is clear enough but too much mysterious things lie in problems.). But use it with this workbook, you will find much comfortable in self study. It helps a lot not only in my homework assignment, but also in my understanding.

37 of 39 people found the following review helpful:

4.0 out of 5 stars Must have for anyone taking Real Analysis, April 10, 1999

By A Customer

This review is from: Problems in Real Analysis, Second Edition (Hardcover)

Before buying this book, I was failing Real Analysis. Now I have a prayer of passing. Thank goodness I found it in time. For it to be of use, you need to buy the companion book "Principles of Real Analysis", same authors. On the down side, it doesn't have an index, but overall, well worth the money. Besides, it is the only source I've found of worked-out Real Analyis problems outside of borrowing from other students who have already taken the course.

14 of 17 people found the following review helpful:

5.0 out of 5 stars A must have!!!, May 28, 2004

By 

raymund aglipay (Monterey Park, CA United States) - See all my reviews

This review is from: Problems in Real Analysis, Second Edition (Hardcover)

This book rocks! It covers practically all the major topics of an introductory course in graduate Real Analysis. Excellent solutions that aid in the understanding of the material. This book's worth is immeasurable, or should I say, non-measurable.