Elementary Real Analysis | 
 enlarge | Authors: Brian S. Thomson, Judith B. Bruckner, Andrew M. Bruckner
Publisher: Prentice Hall
Category: Book
List Price: $114.40
Buy New: $29.90
You Save: $84.50 (74%)
New (7) Used (10) from $25.00
Rating:  5 reviews
Sales Rank: 1154740
Media: Hardcover
Edition: 1st
Pages: 677
Number Of Items: 1
Shipping Weight (lbs): 2.8
Dimensions (in): 9.3 x 7.1 x 1.3
ISBN: 0130190756
Dewey Decimal Number: 515
EAN: 9780130190758
Publication Date: December 15, 2000
Availability: Usually ships in 1-2 business days
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Product Description
Elementary Real Analysis is written in a rigorous, yet reader friendly style with motivational and historical material that emphasizes the “big picture” and makes proofs seem natural rather than mysterious. Introduces key concepts such as point set theory, uniform continuity of functions and uniform convergence of sequences of functions. Covers metric spaces. Ideal for readers interested in mathematics, particularly in advanced calculus and real analysis.
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| Customer Reviews:
 recommended to analysis newbie August 4, 2005
J. M. Lin (Chicago, IL)
5 out of 5 found this review helpful
This book is, in my opinoin, very friendly written. Compared to baby Rudin, in which proofs are usually condensed and hard to be followed by beginners (excellent resource for advanced people though), proofs in this book are just compact enough - crystal clear, not too concise, and I don't see too many redundant explainations either. Here each notion (definition) is written with friendly motivations so that it is easy to gain the inside feelings.
This book aims on the elementary level analysis. It begins with the elementary ideas of sup & infs, sequences and series, basic topology in real numbers. Moving to theories of single variable calculus - continuity, derivatives and intergals, then followed by sequences of functions, power series and multivariable calculus, it ends with a final chapter on metric spaces.
The book is quite comprehensive in many small branches. Small concepts which may be ignored in a short term course or a small book, for example "completion of metric spaces", are available in enrichment sections (not problem sets!) with motivated explainations. The authors also kindly label out advanced topics so people using it for self study don't get lost.
I recommend this title to analysis beginners. It is excellent for both self study and an enrichment of your analysis culture.
Excellent Book February 8, 2002
Terry Soo (Vancouver, BC Canada)
3 out of 4 found this review helpful
I have taken many more math courses since taking a first course in analysis using this book, and still it has much to offer me.
It is rich in examples, motivation, intuition, and enrichment, making it easy to learn from, and hard to remove from your shelf.
Mathematical Engineers Love it! February 2, 2003
This book is really a great book, having so far completed 8 courses in mathematical sciences, this is the best textbook I have seen so far.
It has as many examples as a applied book on Differiential Equations text. Historical Perspectives that are found in pure algebra texts, and the authors talk to you in a clear consice mannor that really helps promote undestanding
A good book April 18, 2003
Timothy Bauer (San Luis Obispo, California United States)
2 out of 3 found this review helpful
There is no escape from the fact that analysis is hard.I have spent a full year (academic year) with this book. Furthermore, I have several other texts on analysis compare to this one. This book is the best I have seen. A few more examples would a be nice addition. However, where present, the illustrations are excellent. I think the authors did a very commendable job on material.
 Horrible book July 12, 2007
L. Kaskey
0 out of 2 found this review helpful
I won't say this is the worst Math book I have ever used, but it is certainly up there. No nearly enough examples. He proves the theorems and then throws 15 exercises at you with having done even one. Of course, on some chapters, he does have "some' examples, but not nearly enough. My professor started using this book and switched in the middle of the course because of the difficulties the students were having.
Steven Abbott's book is much much better.
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