LEADER 02585nam 2200553 450 001 996466388303316 005 20220610150952.0 010 $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 $a20220121d2021 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTopological methods in hydrodynamics /$fVladimir I. Arnold, Boris A. Khesin 205 $aSecond edition. 210 1$aCham, Switzerland :$cSpringer,$d[2021] 210 4$dŠ2021 215 $a1 online resource (XX, 455 p. 79 illus.) 225 1 $aApplied Mathematical Sciences,$x0066-5452 ;$v125 311 $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,$x0066-5452 ;$v125 606 $aHydrodynamics 606 $aHidrodināmica$2thub 606 $aTopologia$2thub 608 $aLlibres electrōnics$2thub 615 0$aHydrodynamics. 615 7$aHidrodināmica 615 7$aTopologia 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 $a996466388303316 996 $aTopological methods in hydrodynamics$9374808 997 $aUNISA