Algebraic Topology via Differential Geometry

Algebraic Topology via Differential Geometry pdf epub mobi txt 电子书 下载 2025

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
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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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