An Invitation to Morse Theory 2024 pdf epub mobi 电子书

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发表于2024-12-23

An Invitation to Morse Theory 2024 pdf epub mobi 电子书

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最近我学了一点Morse theory，感觉这是微分拓扑中是一个非常别致的分支，与代数拓扑、代数几何、微分几何等都有密切的联系，这里的联系主要表现为可以为那些数学分支提供强大的理论工具。我们先从Morse function开始介绍，设M是n维光滑流形，M上所谓的Morse funct...

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出版者:Springer

作者:Liviu Nicolaescu

出品人:

页数:372

译者:

出版时间:2011-12-2

价格:GBP 53.99

装帧:Paperback

isbn号码:9781461411048

丛书系列:

图书标签: 数学外文 Topology Mathematics

An Invitation to Morse Theory 2024 pdf epub mobi 电子书图书描述

This self-contained treatment of Morse theory focuses on applications and is intended for a graduate course on differential or algebraic topology, and will also be of interest to researchers. This is the first textbook to include topics such as Morse-Smale flows, Floer homology, min-max theory, moment maps and equivariant cohomology, and complex Morse theory. The reader is expected to have some familiarity with cohomology theory and differential and integral calculus on smooth manifolds. Some features of the second edition include added applications, such as Morse theory and the curvature of knots, the cohomology of the moduli space of planar polygons, and the Duistermaat-Heckman formula. The second edition also includes a new chapter on Morse-Smale flows and Whitney stratifications, many new exercises, and various corrections from the first edition.

An Invitation to Morse Theory 2024 pdf epub mobi 电子书

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