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Topological Methods in Hydrodynamics

Topological Methods in Hydrodynamics by Vladimir I. Arnold
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The first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. It describes the necessary preliminary notions both in hydrodynamics and pure mathematics with numerous examples and figures. The book is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry.
Springer New York; January 2008
388 pages; ISBN 9780387225890
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Title: Topological Methods in Hydrodynamics
Author: Vladimir I. Arnold; Boris A. Khesin
 
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