Algebraic Topology via Differential Geometry 2024 pdf epub mobi 电子书

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发表于2024-12-25

Algebraic Topology via Differential Geometry 2024 pdf epub mobi 电子书

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出版者:Cambridge University Press

作者:M. Karoubi

出品人:

页数:363

译者:

出版时间:1988-1-29

价格:USD 74.00

装帧:Paperback

isbn号码:9780521317146

丛书系列:London Mathematical Society Lecture Note Series

图书标签: 微分几何代数拓扑数学拓扑几何与拓扑几何代数拓扑7 Cambridge

Algebraic Topology via Differential Geometry 2024 pdf epub mobi 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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