Topology from the Differentiable Viewpoint pdf epub mobi txt 电子书下载 2025

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John W.Milnor，著名美国数学家，菲尔兹奖（1962）和沃尔夫奖（1989）得主。美国科学院院士，1966年获得美国国家科学奖章。现任纽约州立大学石溪分校教授。在微分拓扑、K理论、动力系统等方面都有杰出的成就。他的写作风格深受读者欢迎，除本书外，还著有Mores Theory、Characteristic Classes等，都是公认的数学名著。

出版者:Princeton University Press

作者:John Willard Milnor

出品人:

页数:76

译者:

出版时间:1997-11-24

价格:USD 37.50

装帧:Paperback

isbn号码:9780691048338

丛书系列:Princeton Landmarks in Mathematics and Physics

图书标签:

数学
微分拓扑
拓扑
Milnor
Mathematics
Topology
Math
拓扑学

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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.