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

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M. Karoubi 作者

Cambridge University Press

译者

1988-1-29 出版日期

363 页数

USD 74.00 价格

Paperback

London Mathematical Society Lecture Note Series 丛书系列

9780521317146 图书编码

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

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

Algebraic Topology via Differential Geometry 在线电子书图书描述

In this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manifolds. Prerequisites are few since the authors take pains to set out the theory of differential forms and the algebra required. The reader is introduced to De Rham cohomology, and explicit and detailed calculations are present as examples. Topics covered include Mayer-Vietoris exact sequences, relative cohomology, Pioncare duality and Lefschetz's theorem. This book will be suitable for graduate students taking courses in algebraic topology and in differential topology. Mathematicians studying relativity and mathematical physics will find this an invaluable introduction to the techniques of differential geometry.

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