Algebraic Topology

Algebraic Topology pdf epub mobi txt 电子书 下载 2025

出版者:Cambridge University Press
作者:Allen Hatcher
出品人:
页数:550
译者:
出版时间:2001-11-15
价格:USD 40.99
装帧:Paperback
isbn号码:9780521795401
丛书系列:
图书标签:
  • 数学 
  • 代数拓扑 
  • algebraic_topology 
  • 拓扑 
  • 拓扑学 
  • Mathematics 
  • 经典 
  • Topology 
  •  
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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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价格便宜量又足

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如果你有很强的几何直观,那要那么多代数干嘛。

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关于homology的讨论一上来就太具体了,如果先看过axioms再具体的homology会简单很多。但是还是要给5星,因为无hatcher,无代数拓扑。

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真难读。。

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