基本介紹
- 書名：莫爾斯理論入門
- 作者：（美）尼古萊斯庫
- ISBN：9787510027291
- 定價：35.00 元
- 出版社： 世界圖書出版公司
- 出版時間： 2010-9-1
- 開本：16
內容簡介,目錄,
內容簡介
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.
目錄
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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