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Geometrical Theory of Dynamical Systems and Fluid Flows (Advanced Series in Nonlinear Dynamics)

✍ Scribed by Tsutomu Kambe


Publisher
World Scientific Publishing Company
Year
2004
Tongue
English
Leaves
435
Series
Advanced Series in Nonlinear Dynamics
Category
Library

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✦ 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.


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