Geometrical Theory Of Dynamical Systems And Fluid Flows
Sep 2004 · Advanced Series In Nonlinear Dynamics Book 23 · World Scientific Publishing Company
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436
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About this ebook
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.
About the author
Tsutomu Kambe (Institute of Dynamical Systems, Tokyo, Japan)
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