圖書標籤: 數學 微分拓撲 拓撲 Milnor Mathematics Topology Math 拓撲學
发表于2024-12-23
Topology from the Differentiable Viewpoint pdf epub mobi txt 電子書 下載 2024
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。
功力頗深
評分完全沒明白這些概念有什麼用
評分最棒的微分拓撲小書
評分之前就讀過,上個學期因為課程的原因又翻齣來重新念瞭一遍,深感Milnor的書真是深入淺齣。從elementary入門,當你讀完這本小冊子時卻已經學到瞭微分拓撲中的一些最有力的工具。
評分Milnor小品一部
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Topology from the Differentiable Viewpoint pdf epub mobi txt 電子書 下載 2024