Lectures on Morse Homology pdf epub mobi txt 电子书下载 2025

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Augustin Banyaga & Dav... 著

圖書標籤:

Morse Theory
Homology
Differential Topology
Manifolds
Critical Points
Topology
Mathematics
Geometric Topology
Algebraic Topology
Morse Functions

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出版社： Springer

ISBN：9789048167050

商品编码：1210140411

包装：平装

外文名称：Lectures on Morse Homo...

出版时间：2010-12-08

页数：326

正文语种：英语

具体描述

圖書基本信息

Lectures on Morse Homology
作者： Augustin Banyaga;David Hurtubise;
ISBN13： 9789048167050
類型：平裝(簡裝書)
語種：英語（English）
齣版日期： 2010-12-08
齣版社： Springer
頁數： 326
重量（剋）： 476
尺寸： 22.86 x 15.24 x 2.032 cm

商品簡介

This book is based on the lecture notes from a course we taught at Penn State University during the fall of 2002. The main goal of the course was to give a complete and detailed proof of the Morse Homology Theorem (Theo- rem 7.4) at a level appropriate for second year graduate students. The course was designed for students who had a basic understanding of singular homol- ogy, CW-complexes, applications of the existence and uniqueness theorem for O.D.E.s to vector fields on smooth Riemannian manifolds, and Sard's Theo- rem. We would like to thank the following students for their participation in the course and their help proofreading early versions of this manuscript: James Barton, Shantanu Dave, Svetlana Krat, Viet-Trung Luu, and Chris Saunders. We would especially like to thank Chris Saunders for his dedication and en- thusiasm concerning this project and the many helpful suggestions he made throughout the development of this text. We would also like to thank Bob Wells for sharing with us his extensive knowledge of CW-complexes, Morse theory, and singular homology. Chapters 3 and 6, in particular, benefited significantly from the many insightful conver- sations we had with Bob Wells concerning a Morse function and its associated CW-complex.