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Title: Topology from the Differentiable Viewpoint by John Willard Milnor ISBN: 0-691-04833-9 Publisher: Princeton Univ Pr Pub. Date: 24 November, 1997 Format: Paperback Volumes: 1 List Price(USD): $17.95 |
Average Customer Rating: 5 (5 reviews)
Rating: 5
Summary: Take full advantage of the clear, encompassing exposition:
Comment: Do the exercises. Many were Ph.D. dissertation-level problems in the 1960s; today, they're aptly described as "elementary"- because Milnor MADE them elementary.
This book forms part of the toolkit you will need to fully explore the more modern work in dynamics, complexity, and applications (e.g., economics, physics).
The clarity of the exposition also forms an ideal example of how to communicate mathematics powerfully and simply.
Rating: 5
Summary: Compact, readable text on the topology of manifolds
Comment: This book is very short, which is quite an asset for a math book to have. It also requires little knowledge of math beyond advanced calculus and point-set topology. I found it extremely readable, and I greatly enjoyed it. I recommend it highly, and especially enjoyed the proof on page 8 of the fundamental theorem of algebra. How far we've come since Gauss' first proof...
Rating: 5
Summary: A good place to start
Comment: This book is exceptionally well written and easy to read. Milnor proves a major result on almost every page. One learns a lot per unit time spent on this book. Despite being less than 80 pages, the book covers a significant amount of material in a clear concise manner.
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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: Differential Topology by Victor Guillemin, Alan Pollack ISBN: 0132126052 Publisher: Prentice Hall Pub. Date: 14 August, 1974 List Price(USD): $76.00 |
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Title: Differential Forms and Connections by R. W. R. Darling ISBN: 0521468000 Publisher: Cambridge University Press Pub. Date: 22 September, 1994 List Price(USD): $32.00 |
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Title: Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus by Michael Spivak ISBN: 0805390219 Publisher: Westview Press Pub. Date: June, 1965 List Price(USD): $44.00 |
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Title: The Topology of Fibre Bundles. (PMS-14) by Norman Steenrod ISBN: 0691005486 Publisher: Princeton Univ Pr Pub. Date: 05 April, 1999 List Price(USD): $29.95 |
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