发表于2025-04-04
Algebraic Topology 2025 pdf epub mobi 电子书
图书标签: 数学 代数拓扑 algebraic_topology 拓扑 拓扑学 Mathematics 经典 Topology
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.
借着qual逼着自己过了一遍,这才叫拓扑嘛。
评分真难读。。
评分价格便宜量又足
评分累
评分除了喜欢啰嗦一堆废话以外,还是挺好的
Algebraic Topology 2025 pdf epub mobi 电子书