Algebraic Topology

Algebraic Topology pdf epub mobi txt 電子書 下載2025

出版者:Cambridge University Press
作者:Allen Hatcher
出品人:
頁數:550
译者:
出版時間:2001-11-15
價格:USD 40.99
裝幀:Paperback
isbn號碼:9780521795401
叢書系列:
圖書標籤:
  • 數學 
  • 代數拓撲 
  • algebraic_topology 
  • 拓撲 
  • 拓撲學 
  • Mathematics 
  • 經典 
  • 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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Hatcher 這本書貌似是代數拓撲的經典教材呢,對我而言呢,希望作為本科數學學習的一個美好的closure.

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真難讀。。

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Not a fan of Hatcher at all...

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Hatcher 這本書貌似是代數拓撲的經典教材呢,對我而言呢,希望作為本科數學學習的一個美好的closure.

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