Topology from the Differentiable Viewpoint download ebook

Topology from the Differentiable Viewpoint. John Willard Milnor

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Author: John Willard Milnor
Page Count: 80 pages
Published Date: 14 Dec 1997
Publisher: Princeton University Press
Publication Country: New Jersey, United States
Language: English
ISBN: 9780691048338
Download Link: Topology from the Differentiable Viewpoint
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This elegant book by distinguished mathematician John Milnor, provides a clear and succinct introduction to one of the most important subjects in modern mathematics. Beginning with basic concepts such as diffeomorphisms and smooth manifolds, he goes on to examine tangent spaces, oriented manifolds, and vector fields. Key concepts such as homotopy, the index number of a map, and the Pontryagin construction are discussed. The author presents proofs of Sard's theorem and the Hopf theorem.

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