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Algebraic Topology 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025

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Allen Hatcher 作者

Cambridge University Press

译者

2001-11-15 出版日期

550 页数

USD 40.99 价格

Paperback

丛书系列

9780521795401 图书编码

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

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发表于2025-02-03

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Algebraic Topology 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2025

Algebraic Topology 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025

Algebraic Topology 在线电子书用户评价

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Hatcher 这本书貌似是代数拓扑的经典教材呢，对我而言呢，希望作为本科数学学习的一个美好的closure.

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太细化了

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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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学到第二章，强调几何直观结果例子真的多但证明也看得累……

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Algebraic Topology 在线电子书著者简介

Algebraic Topology 在线电子书图书目录

Algebraic Topology 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Algebraic Topology 在线电子书图书描述

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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