圖書標籤: 數學 微分拓撲 拓撲 Milnor Mathematics Topology Math 拓撲學
发表于2025-01-09
Topology from the Differentiable Viewpoint pdf epub mobi txt 電子書 下載 2025
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.
John W.Milnor,著名美國數學傢,菲爾茲奬(1962)和沃爾夫奬(1989)得主。美國科學院院士,1966年獲得美國國傢科學奬章。現任紐約州立大學石溪分校教授。在微分拓撲、K理論、動力係統等方麵都有傑齣的成就。他的寫作風格深受讀者歡迎,除本書外,還著有Mores Theory、Characteristic Classes等,都是公認的數學名著。
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Topology from the Differentiable Viewpoint pdf epub mobi txt 電子書 下載 2025