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Geometrical Theory of Dynamical Systems and Fluid Flows

Tsutomu Kambe
Publisher: 
World Scientific
Publication Date: 
2004
Number of Pages: 
416
Format: 
Hardcover
Series: 
Advanced Series in Nonlinear Dynamics 23
Price: 
68.00
ISBN: 
981-238-806-0
Category: 
Monograph
We do not plan to review this book.
* Mathematical Bases:
* Manifolds, Flows, Lie Groups and Lie Algebras
* Geometry of Surfaces in R3
* Riemannian Geometry
* Dynamical Systems:
* Free Rotation of a Rigid Body
* Water Waves and KdV Equation
* Hamiltonian Systems: Chaos, Integrability and Phase Transition
* Flows of Ideal Fluids:
* Gauge Principle and Variational Formulation
* Volume-Preserving Flows of an Ideal Fluid
* Motion of Vortex Filament
* Geometry of Integrable Systems:
* Geometric Interpretations of Sine-Gordon Equation
* Integrable Surfaces: Riemannian Geometry and Group Theory.


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