Real Analysis (Dover Books on Mathematics) [Paperback]

Norman B. Haaser (Author), Joseph A. Sullivan (Author), Mathematics (Author)

Book Description

Publication Date: January 1, 1991 | ISBN-10: 0486665097 | ISBN-13: 978-0486665092

Clear, accessible text for a 1st course in abstract analysis, suitable for undergraduates with a good background in the calculus of functions of 1 and several variables. Sets and relations, real number system and linear spaces, normed spaces, normed linear spaces, Lebesque integral, approximation theory, Banach fixed-point theorem, Stieltjes integrals, more. Includes problems.

Product Details

• Paperback: 352 pages
• Publisher: Dover Publications (January 1, 1991)
• Language: English
• ISBN-10: 0486665097
• ISBN-13: 978-0486665092
• Product Dimensions: 8.5 x 5.4 x 0.7 inches
• Shipping Weight: 13.6 ounces (View shipping rates and policies)
• Average Customer Review: 3.4 out of 5 stars  See all reviews (9 customer reviews)
• Amazon Best Sellers Rank: #283,844 in Books (See Top 100 in Books)

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Customer Reviews

Most Helpful Customer Reviews

29 of 30 people found the following review helpful:

5.0 out of 5 stars So Sad It's Dover?, September 20, 2004

By 

Daniel R. Greenfield "Dan" (Milwaukee, Wisconsin, United States) - See all my reviews
(VINE VOICE)   

This review is from: Real Analysis (Dover Books on Mathematics) (Paperback)

Yes this book is an excellent introduction to real analysis and assumes minimal preparation beyond linear algebra and two semesters of calculus. I have been looking everywhere for a clear and lucid treatment of the Banach Fixed Point Theorem, and here it is. At a time when most math textbooks (even paperback) cannot be had for less than $50, Dover has been a godsend for those of us who want to collect a decent mathematics library. If it were not for Dover Publications, I would not have this text in my library, nor would I be able to afford it. Please visit Dover Publications website to view all the other fine mathematics texts which they offer at bargain prices. Incidentally, all these fine Dover mathematics books that can be had for chump change are reprints of original texts that have long been out of print and hard to find. To a previous reviewer who critized Dover Publications, I would simply say: Don't bite the hand that feeds you.

16 of 18 people found the following review helpful:

4.0 out of 5 stars A thorough and rigorous introduction and exposition, January 21, 2000

By A Customer

This review is from: Real Analysis (Dover Books on Mathematics) (Paperback)

As an undergraduate math major with knowledge of only some linear algebra and elementary calculus of one and several variables, I found this text to be interesting and challenging. The chapter on metric spaces serves as a good introduction to concepts in point-set topology, while providing motivation for such studies. While the proofs are rigorous and complete, sometimes the developments seem to lack motivation. This can be annoying when attempting the exercises, but motivation for such developments could easily be provided by examples from other texts or a professor. After studying Stewart's "Calculus" and Bartle and Sherbert's introductory analysis text, I find the rigor and thoroughness of this text most refreshing. For instance, rather than assuming the completeness property of the reals, the authors develop the reals as an equvalence class on the rationals, and proceed to prove the completeness property. I am certain that anyone interested in learning analysis could benefit greatly from this text, especially in combination with other analysis texts.

9 of 10 people found the following review helpful:

5.0 out of 5 stars Great Book, July 20, 2004

By 

MathGeek741 "jackgoodman2" (Maryland, USA) - See all my reviews

This review is from: Real Analysis (Dover Books on Mathematics) (Paperback)

I don't see why everyone buys other books on the subject for ten times the price when they can just get this one. This book is REALLY good. It really teaches the material in a way which is both clear and understandable and completely rigorous. Moreover, the excercizes, which range from easy to difficult, are all quite instructive. I'd recommend this book to anyone.