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Topology from the Differentiable Viewpoint

Topology from the Differentiable Viewpoint

作者:John Willard Milnor

分类:文学

ISBN:9780691048338

出版时间:1997-11-24

出版社:Princeton University Press

标签: 数学  微分拓扑  拓扑  Mathematics  Milnor  math 

内容简介

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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