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010   $a3-030-74278-4
024 7 $a10.1007/978-3-030-74278-2
035   $a(CKB)5470000000556835
035   $a(DE-He213)978-3-030-74278-2
035   $a(MiAaPQ)EBC6614566
035   $a(Au-PeEL)EBL6614566
035   $a(OCoLC)1252659008
035   $a(PPN)255881967
035   $a(EXLCZ)995470000000556835
100   $a20210512d2021      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aTopological Methods in Hydrodynamics /$fby Vladimir I. Arnold, Boris A. Khesin
205   $a2nd ed. 2021.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2021.
215   $a1 online resource (XX, 455 p. 79 illus.)
225 1 $aApplied Mathematical Sciences,$x2196-968X ;$v125
311 08$a3-030-74277-6 
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,$x2196-968X ;$v125
606   $aMathematics
606   $aFluid mechanics
606   $aSystem theory
606   $aComputational intelligence
606   $aStatistical physics
606   $aDynamics
606   $aGeneral Mathematics
606   $aEngineering Fluid Dynamics
606   $aComplex Systems
606   $aComputational Intelligence
606   $aStatistical Physics
606   $aDynamical Systems
615  0$aMathematics.
615  0$aFluid mechanics.
615  0$aSystem theory.
615  0$aComputational intelligence.
615  0$aStatistical physics.
615  0$aDynamics.
615 14$aGeneral Mathematics.
615 24$aEngineering Fluid Dynamics.
615 24$aComplex Systems.
615 24$aComputational Intelligence.
615 24$aStatistical Physics.
615 24$aDynamical Systems.
676   $a532.5
700   $aArnol?d$b V. I$g(Vladimir Igorevich),$f1937-2010,$022210
702   $aKhesin$b Boris A.
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910483367603321
996   $aTopological methods in hydrodynamics$9374808
997   $aUNINA