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Catalogue Information
Field name	Details
Dewey Class	510
Title	Topological Methods in Hydrodynamics ([EBook] /) / by Vladimir I. Arnold, Boris A. Khesin.
Author	Arnold, Vladimir I.
Added Personal Name	Khesin, Boris A.
Other name(s)	SpringerLink (Online service)
Edition statement	2nd ed. 2021.
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2021.
Physical Details	XX, 455 p. 79 illus. : online resource.
Series	Applied mathematical sciences 2196-968X ; ; 125
ISBN	9783030742782
Summary Note	First published in 1998 this unique monograph treats topological, group-theoretic, and geometric problems of ideal hydrodynamics and magneto-hydrodynamics from a unified point of view. It describes the necessary preliminary notions both in hydrodynamics and pure mathematics with numerous examples and figures. This book, now accepted as one of the main references in the field, is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry. The updated second edition also contains a survey of recent developments in this now-flourishing field of topological and geometric hydrodynamics.:
Contents note	Group and Hamiltonian Structures of Fluid Dynamics -- Topology of Steady Fluid Flows -- Topological Properties of Magnetic and Vorticity Fields -- Differential Geometry of Diffeomorphism Groups -- Kinematic Fast Dynamo Problems -- Dynamical Systems with Hydrodynamical Background.
Mode of acces to digital resource	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-74278-2
Links to Related Works	Subject References: Complex Systems . Computational Intelligence . Dynamical Systems . Engineering Fluid Dynamics . Fluid mechanics . General Mathematics . Mathematics . Statistical Physics . System theory . Authors: Arnold, Vladimir I. . author . Khesin, Boris A. . Corporate Authors: SpringerLink (Online service) . Series: Applied mathematical sciences . Classification: 510 .

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Topological Methods in Hydrodynamics

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