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A guide to the geometrical theory of dynamical systems, fluid flows and certain integrable systems. It helps to understand dynamical evolutions of physical systems within mathematical ideas of Riemannian geometry and Lie groups by using well-known examples.
Describes the fundamental "physical" aspects of fluid flows for beginners of fluid mechanics in physics, mathematics and engineering, from the point of view of modern physics. This book also emphasizes the dynamical aspects of fluid motions, illustrating vortex motions, waves, geophysical flows, chaos and turbulence.
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