Algebraic Topology 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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William Fulton 作者

Springer-Verlag

译者

1995-11 出版日期

0 页数

USD 59.95 价格

Hardcover

Graduate Texts in Mathematics 丛书系列

9780387943268 图书编码

Algebraic Topology 在线电子书图书标签: Topology Algebra

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Algebraic Topology 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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非常好的几何学入门教程。讲了二维的同调和上同调。严格地讲了微分形式（太难得了）。复叠空间与基本群部分讲的比一般第一学期的代数拓扑标准教材多。

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Algebraic Topology 在线电子书著者简介

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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

This book introduces the important ideas of algebraic topology emphasizing the relation of these ideas with other areas of mathematics. Rather than choosing one point of view of modern topology (homotopy theory, axiomatic homology, or differential topology, say) the author concentrates on concrete problems in spaces with a few dimensions, introducing only as much algebraic machinery as necessary for the problems encountered. This makes it possible to see a wider variety of important features in the subject than is common in introductory texts; it is also in harmony with the historical development of the subject. The book is aimed at students who do not necessarily intend on specializing in algebraic topology. The first part of the book emphasizes relations with calculus and uses these ideas to prove the Jordan curve theorem. The study of fundamental groups and covering spaces emphasizes group actions. A final section gives a taste of the generalization to higher dimensions.

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