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200 10$aTopological methods in hydrodynamics /$fVladimir I. Arnold, Boris A. Khesin
205   $aSecond edition.
210  1$aCham, Switzerland :$cSpringer,$d[2021]
210  4$d©2021
215   $a1 online resource (XX, 455 p. 79 illus.)
225 1 $aApplied Mathematical Sciences,$x0066-5452 ;$v125
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327   $aGroup 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.
330   $aFirst published in 1998 this unique monograph treats topological, group-theoretic, and geometric problems of ideal hydrodynamics and magneto-hydrodynamics from a unified point of view. It describes the necessary preliminary notions both in hydrodynamics and pure mathematics with numerous examples and figures. This book, now accepted as one of the main references in the field, is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry. The updated second edition also contains a survey of recent developments in this now-flourishing field of topological and geometric hydrodynamics.
410  0$aApplied Mathematical Sciences,$x0066-5452 ;$v125
606   $aHydrodynamics
606   $aHidrodinàmica$2thub
606   $aTopologia$2thub
608   $aLlibres electrònics$2thub
615  0$aHydrodynamics.
615  7$aHidrodinàmica
615  7$aTopologia
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700   $aArnol'd$b V. I$g(Vladimir Igorevich),$f1937-2010,$022210
702   $aKhesin$b Boris A.
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200 10$aBack to the Roots $eThe Conceptual Development of TA in Germany
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210  4$d©2025.
215   $a1 online resource (450 pages)
311 08$a9783756033430 
330   $aDie Ziele des Buchprojektes sollten folgende sein: Konzeptionelle Prämissen der (deutschsprachigen) TA sichtbar machen; Dokumentation der spezifisch historischen Entwicklung der TA in Deutschland auf der Basis von ausgewählten Texten nachvollziehen; Autor:innen und deren Verdienste in diesem Kontext sichtbar machen; Neben der Einführung in die TA.
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