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Title: The Elements of Real Analysis, 2nd Edition by Robert G. Bartle ISBN: 0-471-05464-X Publisher: Wiley Text Books Pub. Date: 02 January, 1976 Format: Hardcover Volumes: 1 List Price(USD): $105.95 |
Average Customer Rating: 4.67 (3 reviews)
Rating: 4
Summary: Real Analysis in Euclidean Spaces
Comment: This book does a very good job of teaching real analysis in Euclidean spaces. The development is orderly and rigorous. Every important concept in real analysis is included. It provides visuals for abstract concepts and proofs that are complicated. A good feature of the book is that for some sections, it provides projects that lead to additional results.
This book is a bit wordy. Some of its definitions are nontraditional and seem superfluous. Its focus is on real Euclidean Spaces only, which, in my opinion, is its major drawback as far as the sections related to topological concepts are concerned. The theory becomes very concise and elegant when metric spaces are employed, but this book doesn't cover metric spaces. Consequently, this book is not for those who wish to have a broader view. I recommend Rudin's book for that purpose.
Rating: 5
Summary: Good stepping stone to Rudin
Comment: I read and studied this book before moving on to Baby Rudin, and it helped a great deal. Although it's not perfect by any means, it's one of the best undergraduate analysis texts I've seen. It has the rigor and thoroughness of Baby Rudin, combined with more motivation, a freer style, and a willingness to talk to the student more (rather than past the student, as Baby Rudin often does). It's too bad more people haven't heard of it.
Rating: 5
Summary: OUTSTANDING!!!
Comment: I have read a number of texts on real analysis and I have been somewhat critical in my reading of late because I am an aspiring author of a calculus text. The conclusion I have reached is that Bartle has written one of the two best books on real analysis that I have seen. (Maybe even THE best!!) The other book that I would say might be it's equal is "Real Analysis and Point-Set Topology" by Donald and Mildred Stancl. Both of these texts give excellent introductions to the ideas of metric and other topological spaces, which I think is essential to a proper understanding of continuity and, of course, the heart of analysis itself.
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Title: Principles of Mathematical Analysis by Walter Rudin ISBN: 007054235X Publisher: McGraw-Hill Science/Engineering/Math Pub. Date: 01 January, 1976 List Price(USD): $147.70 |
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Title: Introduction to Analysis by Maxwell Rosenlicht ISBN: 0486650383 Publisher: Dover Pubns Pub. Date: 01 February, 1985 List Price(USD): $11.95 |
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Title: Introduction to Real Analysis, 3rd Edition by Robert G. Bartle, Donald R. Sherbert ISBN: 0471321486 Publisher: Wiley Text Books Pub. Date: 21 September, 1999 List Price(USD): $113.95 |
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Title: Abstract Algebra, 2nd Edition by David S. Dummit, Richard M. Foote, Barbar Holland ISBN: 0471368571 Publisher: Wiley Text Books Pub. Date: 01 January, 1999 List Price(USD): $101.95 |
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Title: Elementary Real and Complex Analysis by Georgi E. Shilov ISBN: 0486689220 Publisher: Dover Pubns Pub. Date: 07 February, 1996 List Price(USD): $19.95 |
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