Morse Theory, Gradient Flows, Concavity and Complexity on Manifolds with Boundary

带边流形的莫尔斯理论、梯度流、凹度与复杂性

几何学

原   价:
2020.00
售   价:
1515.00
发货周期:预计3-5周发货
作      者
出  版 社
出版时间
2019年08月22日
装      帧
精装
ISBN
9789814368759
复制
页      码
300
语      种
英文
综合评分
暂无评分
我 要 买
- +
库存 30 本
  • 图书详情
  • 目次
  • 买家须知
  • 书评(0)
  • 权威书评(0)
图书简介
This monograph is an account of the author’s investigations of gradient vector flows on compact manifolds with boundary. Many mathematical structures and constructions in the book fit comfortably in the framework of Morse Theory and, more generally, of the Singularity Theory of smooth maps. The geometric and combinatorial structures, arising from the interactions of vector flows with the boundary of the manifold, are surprisingly rich. This geometric setting leads organically to many encounters with Singularity Theory, Combinatorics, Differential Topology, Differential Geometry, Dynamical Systems, and especially with the boundary value problems for ordinary differential equations. This diversity of connections animates the book and is the main motivation behind it. The book is divided into two parts. The first part describes the flows in three dimensions. It is more pictorial in nature. The second part deals with the multi-dimensional flows, and thus is more analytical. Each of the nine chapters starts with a description of its purpose and main results. This organization provides the reader with independent entrances into different chapters. Key Features: o The text is unique in its subject and approach o The results are novel and have a nice geometrical flavor o The book is richly illustrated to help readers visualize ideas and statements
本书暂无推荐
本书暂无推荐
看了又看
  • 上一个
  • 下一个