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Topological methods in hydrodynamics

Arnold, Vladimir I.

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Topological methods in hydrodynamics

Record Type:	Electronic resources : Monograph/item
Title/Author:	Topological methods in hydrodynamics/ by Vladimir I. Arnold, Boris A. Khesin.
Author:	Arnold, Vladimir I.
other author:	Khesin, Boris A.
Published:	Cham :Springer International Publishing : : 2021.,
Description:	xx, 455 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Hydrodynamics. -
Online resource:	https://doi.org/10.1007/978-3-030-74278-2
ISBN:	9783030742782

Topological methods in hydrodynamics
Arnold, Vladimir I.

Topological methods in hydrodynamics[electronic resource] /by Vladimir I. Arnold, Boris A. Khesin. - Second edition. - Cham :Springer International Publishing :2021. - xx, 455 p. :ill., digital ;24 cm. - Applied mathematical sciences,v.1250066-5452 ;. - Applied mathematical sciences ;v.125..

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.

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.

ISBN: 9783030742782

Standard No.: 10.1007/978-3-030-74278-2doiSubjects--Topical Terms:

561030
Hydrodynamics.

LC Class. No.: QA911 / .A75 2021

Dewey Class. No.: 532.5

Topological methods in hydrodynamics
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100 1 $a Arnold, Vladimir I. $3 1070531
245 1 0 $a Topological methods in hydrodynamics $h [electronic resource] / $c by Vladimir I. Arnold, Boris A. Khesin.
250 $a Second edition.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xx, 455 p. : $b ill., digital ; $c 24 cm.
490 1 $a Applied mathematical sciences, $x 0066-5452 ; $v v.125
505 0 $a 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.
520 $a 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.
650 0 $a Hydrodynamics. $3 561030
650 0 $a Topology. $3 522026
650 0 $a Mathematics. $3 515831
650 0 $a Fluid mechanics. $3 528155
650 0 $a System theory. $3 525574
650 0 $a Computational intelligence. $3 595739
650 0 $a Mathematical physics. $3 516853
650 0 $a Dynamics. $3 519830
650 0 $a Ergodic theory. $3 555691
650 1 4 $a Mathematics, general. $3 895821
650 2 4 $a Engineering Fluid Dynamics. $3 891349
650 2 4 $a Complex Systems. $3 1566441
650 2 4 $a Computational Intelligence. $3 1001631
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 1066859
650 2 4 $a Dynamical Systems and Ergodic Theory. $3 891276
700 1 $a Khesin, Boris A. $3 745260
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
830 0 $a Applied mathematical sciences ; $v v.125. $3 3496144
856 4 0 $u https://doi.org/10.1007/978-3-030-74278-2
950 $a Mathematics and Statistics (SpringerNature-11649)