Flows on 2-Dimensional Manifolds: An Overview
โ Scribed by Nikolaev E., Zhuzhoma I.
- Year
- 1999
- Tongue
- English
- Leaves
- 311
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
Time-evolution in low-dimensional topological spaces is a subject of puzzling vitality. This book is a state-of-the-art account, covering classical and new results. The volume comprises Poincarรฉ-Bendixson, local and Morse-Smale theories, as well as a carefully written chapter on the invariants of surface flows. Of particular interest are chapters on the Anosov-Weil problem, C*-algebras and non-compact surfaces. The book invites graduate students and non-specialists to a fascinating realm of research. It is a valuable source of reference to the specialists.
๐ SIMILAR VOLUMES
In a very broad sense, "spaces" are objects of study in geometry, and "functions" are objects of study in analysis. There are, however, deep relations between functions defined on a space and the shape of the space, and the study of these relations is the main theme of Morse theory. In particular, i