| 词条 | 莫尔斯理论入门 |
| 释义 | 图书信息书 名: 莫尔斯理论入门 作 者：（美）尼古莱斯库 出版社： 世界图书出版公司 出版时间： 2010-9-1 ISBN: 9787510027291 开本： 16开 定价: 35.00 元 内容简介as the the title suggests, the goal of this book is to give the reader a taste of the "unreasonable effectiveness" of morse theory. the main idea behind thistechnique can be easily visualized. suppose m is a smooth, compact manifold, which for simplicity we assume is embedded in a euclidean space e. we would like to understand basictopological invariants of m such as its homology, and we attempt a "slicing" technique. 目录preface notations and conventions 1 morse functions 1.1 the local structure of morse functions 1.2 existence of morse functions 2 the topology of morse functions 2.1 surgery, handle attachment, and cobordisms. 2.2 the topology of sublevel sets 2.3 morse inequalities 2.4 morse-smale dynamics 2.5 morse-floer homology 2.6 morse-bott functions 2.7 min-max theory 3 applications 3.1 the cohomology of complex grassmannians ............... |
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