Algebraic Topology 在线电子书 图书标签: 数学 代数拓扑 algebraic_topology 拓扑 拓扑学 Mathematics 经典 Topology
发表于2024-11-24
Algebraic Topology 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024
这本超厚的书在今晚的考试和夜宵之后就会被放在书架上了。 我可能会忘记所有的代数拓扑的东西,但忘不掉这个令人感动的夜晚。
评分第四章就不读了。。
评分这本超厚的书在今晚的考试和夜宵之后就会被放在书架上了。 我可能会忘记所有的代数拓扑的东西,但忘不掉这个令人感动的夜晚。
评分累
评分借着qual逼着自己过了一遍,这才叫拓扑嘛。
In most mathematics departments at major universities one of the three or four basic first-year graduate courses is in the subject of algebraic topology. This introductory textbook in algebraic topology is suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises. The four main chapters present the basic material of the subject: fundamental group and covering spaces, homology and cohomology, higher homotopy groups, and homotopy theory generally. The author emphasizes the geometric aspects of the subject, which helps students gain intuition. A unique feature of the book is the inclusion of many optional topics which are not usually part of a first course due to time constraints, and for which elementary expositions are sometimes hard to find. Among these are: Bockstein and transfer homomorphisms, direct and inverse limits, H-spaces and Hopf algebras, the Brown representability theorem, the James reduced product, the Dold-Thom theorem, and a full exposition of Steenrod squares and powers. Researchers will also welcome this aspect of the book.
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Algebraic Topology 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024