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Title: Algebraic Topology by Allen Hatcher ISBN: 0-521-79540-0 Publisher: Cambridge University Press Pub. Date: 15 November, 2001 Format: Paperback Volumes: 1 List Price(USD): $32.00 |
Average Customer Rating: 5 (3 reviews)
Rating: 5
Summary: It's worth your money!
Comment: This book is not just for topologists! If you're like me, then you've spent countless nights sans Hatcher's book trying to figure out the fundamental group of a beer can. Look no further, the answers are here!
Be sure to check out the vivid detail Hatcher brings to the Van Kampen theorem. I've not actually read that part myself, as I do not trust german mathematics.
Rating: 5
Summary: You would not regret if you buy this.
Comment: There are many really good textbooks on algebraic topology and each has its own merit: Bredon for his effort in explaining everything that can be dealt without using spectral equences, Fomenko & Novikov for their effort in unifying differential geometry and algebraic/differential topology.
Hatcher's book is intended as one of the series that cover every aspect of the subject. Separate books on vector bundles and K-theory, and spectral sequences respectively, are to appear sometime in the future. Thus this one covers ordinary homology/cohomology and homotopy theory only. His writing style is helpful and user-friendly, not demanding extensive "mathematical maturity".
I am not sure if this is "the" textbook on algebraic topology, but I bet this is among the best ones. You would not regret if you buy this, even when an electronic version is available online (for free) from the author's home page.
Rating: 5
Summary: The Last Text on Introductory Algebraic Topology
Comment: No serious introductory text on basic algebraic topology has ever achieved this level of clarity, readability and depth. Its richness in examples (in both the main text and the problems) exposes a beginner to the underlying mechanisms of geometry in algebraic topology; its choice and arrangement of topics strike a perfect balance between accesibility and substantiveness; its lively and motivating exposition makes a student reluctant to attend the often boring topology classes. For a novice, this should be the first reading on the subject before (s)he is ruined by the many existing daunting texts; for a veteran, this can be very nourishing, especially if (s)he is already ruined by those either unreadable or shallow 'introduction's.
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Title: Counterexamples in Topology by Lynn Arthur Steen, J. Arthur Seebach ISBN: 048668735X Publisher: Dover Pubns Pub. Date: 22 September, 1995 List Price(USD): $11.95 |
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Title: A Concise Course in Algebraic Topology (Chicago Lectures in Mathematics Series(Paper)) by J. Peter May, Peter J. May ISBN: 0226511839 Publisher: University of Chicago Press Pub. Date: June, 1999 List Price(USD): $20.00 |
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Title: Counterexamples in Analysis by Bernard R. Gelbaum, John M. H. Olmsted ISBN: 0486428753 Publisher: Dover Pubns Pub. Date: 04 June, 2003 List Price(USD): $14.95 |
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Title: Topology from the Differentiable Viewpoint by John Willard Milnor ISBN: 0691048339 Publisher: Princeton Univ Pr Pub. Date: 24 November, 1997 List Price(USD): $17.95 |
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Title: Undergraduate Commutative Algebra by Miles Reid ISBN: 0521458897 Publisher: Cambridge University Press Pub. Date: 30 November, 1995 List Price(USD): $22.00 |
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