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Title: Undergraduate Analysis (Undergraduate Texts in Mathematics) by Serge Lang ISBN: 0-387-94841-4 Publisher: Springer-Verlag Pub. Date: 01 January, 1997 Format: Hardcover Volumes: 1 List Price(USD): $69.95 |
Average Customer Rating: 4 (4 reviews)
Rating: 4
Summary: Just like every other Lang text
Comment: This book typifies Lang's style. If you enjoyed any of his other books you'll enjoy this too. Like seemingly all of his texts, it has a section on the inverse function theorem and makes quite a deal out of it. Overall, it is quite comprehensive, but there's little motivation for the proofs so things can be a bit boring. Both Rudin and Browder cover the same amout of material in far fewer pages, and they have better excerises too.
Rating: 5
Summary: Solid, complete reference to basic analysis topics
Comment: Serge Lang's "Undergraduate Analysis" offers an impeccable selection of topics and exercises for the student wishing to broaden his/her knowledge of analysis. The proofs of theorems can be terse at times, but a hardworking student will gain much through a thorough reading of the text. Also, Lang concentrates many of his exercises on estimates, which is an art form that is slowly dying among undergraduates (and graduate students as well, sad to say). Many of his problems require only the triangle inequality (the basic tool of estimation) and ingenuity (and hard work) from the student. I would strongly recommend this text for anyone who wishes to fully understand and appreciate the results and techniques of basic real analysis.
Rating: 2
Summary: okay
Comment: I personally don't care much for this book. It's too terse, and there are nowhere near enough examples. I have about 6 analysis books and this is the one I look in the least. It seems to cover a lot of stuff, but maybe too much-- it wouldve been better to focus more on some more elementary topics. For instance, he spends about one and a half pages introducing the derivative. So if you want a book that glosses over more elementary concepts and leans heavily toward a graduate level, this book's for you. At my school we were supposed to learn advanced calculus from this and it is not good for that at all. For advanced calc try robert stritchart's Way of Analysis (the best book on analysis I've ever read) and for analysis Intro to real analysis by kolmogrov (only 10 bucks or so and actually better than most books costing a 100)
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Title: Problems and Solutions for Undergraduate Analysis (Undergraduate Texts in Mathematics) by Rami Shakarchi, Serge Lang ISBN: 0387982353 Publisher: Springer-Verlag Pub. Date: 01 January, 1998 List Price(USD): $49.95 |
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Title: Counterexamples in Analysis (Dover Books on Mathematics) by Bernard R. Gelbaum, John M. H. Olmsted ISBN: 0486428753 Publisher: Dover Publications Pub. Date: 01 June, 2003 List Price(USD): $14.95 |
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Title: Elementary Real and Complex Analysis (Dover Books on Mathematics) by Georgi E. Shilov, Richard A. Silverman ISBN: 0486689220 Publisher: Dover Publications Pub. Date: 01 February, 1996 List Price(USD): $19.95 |
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Title: Principles of Real Analysis ISBN: 0120502577 Publisher: Academic Press Pub. Date: 15 September, 1998 List Price(USD): $93.95 |
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Title: Introduction to Linear Algebra (Undergraduate Texts in Mathematics) by Serge Lang ISBN: 0387962050 Publisher: Springer-Verlag Pub. Date: 01 January, 1986 List Price(USD): $54.95 |
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