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。
发表于2024-11-04
Topology from the Differentiable Viewpoint 2024 pdf epub mobi 电子书
图书标签: 数学 微分拓扑 拓扑 Milnor Mathematics Topology Math 拓扑学
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.
专业选修课——分析专题选讲——参考书
评分稀里糊涂得读完,得了些好处,却没有完全理解。还是要再读一遍,做完题才好。
评分专业选修课——分析专题选讲——参考书
评分究竟要看几遍才能看明白
评分之前就读过,上个学期因为课程的原因又翻出来重新念了一遍,深感Milnor的书真是深入浅出。从elementary入门,当你读完这本小册子时却已经学到了微分拓扑中的一些最有力的工具。
Topology from the Differentiable Viewpoint 2024 pdf epub mobi 电子书