This text is a slightly edited version of lecture notes for a course I gave at ETH, during the Winter term 2000-200f, to undergraduate Mathematics and Physics students. The choice of topics covered here is somewhat arbitrary, and was partly imposed by time limitations. Evidently, these notes do not
Geometrical Theory of Dynamical Systems and Fluid Flows
✍ Scribed by Tsutomu Kambe
- Book ID
- 127428803
- Publisher
- World Scientific
- Year
- 2004
- Tongue
- English
- Weight
- 2 MB
- Series
- Advanced series in nonlinear dynamics 23
- Category
- Library
- City
- New Jersey; London
- ISBN
- 9812565744
No coin nor oath required. For personal study only.
✦ Synopsis
This is an introductory textbook on the geometrical theory of dynamical systems, fluid flows, and certain integrable systems. The subjects are interdisciplinary and extend from mathematics, mechanics and physics to mechanical engineering, and the approach is very fundamental. The underlying concepts are based on differential geometry and theory of Lie groups in the mathematical aspect, and on transformation symmetries and gauge theory in the physical aspect. A great deal of effort has been directed toward making the description elementary, clear and concise, so that beginners will have an access to the topics.
✦ Subjects
Механика жидкостей и газов
📜 SIMILAR VOLUMES
We use geometric invariant theory and the language of quivers to study compactifications of moduli spaces of linear dynamical systems. A general approach to this problem is presented and applied to two well known cases: We show how both Lomadze's and Helmke's compactification arises naturally as a g