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Topological Methods in Hydrodynamics de Vladimir I. Arnold

Topological Methods in Hydrodynamics: Applied Mathematical Sciences, cartea 125

Autor Vladimir I. Arnold, Boris A. Khesin
en Limba Engleză Paperback – 6 mar 2013
The first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. The book is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry.
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Specificații

ISBN-13: 9781475771534
ISBN-10: 1475771533
Pagini: 396
Dimensiuni: 155 x 235 x 21 mm
Greutate: 0.55 kg
Ediția:Softcover reprint of the original 1st ed. 1998
Editura: Springer
Colecția Springer
Seria Applied Mathematical Sciences

Locul publicării:New York, NY, United States

Public țintă

Research

Cuprins

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.

Notă biografică

V.I.Arnold Famous author of various Springer books in the field of dynamical systems, differential equations, hydrodynamics, magnetohydrodynamics, classical and celestial mechanics, geometry, topology, algebraic geometry, symplectic geometry, singularity theory 1958 Award of the Mathematical Society of Moscow 1965 Lenin Award of the Government of the U.S.S.R. 1976 Honorary Member, London Mathematical Society 1979 Honorary Doctor, University P. and M. Curie, Paris 1982 Carfoord Award of the Swedish Academy 1983 Foreign Member, National Academy, U.S.A. 1984 Foreign Member, Academy of Sciences, Paris 1987 Foreign Member, Academy of Arts and Sciences, U.S.A. 1988 Honorary Doctor, Warwick University, Coventry 1988 Foreign Member, Royal Soc. London, GB 1988 Foreign Member, Accademia Nazionale dei Lincei, Rome, Italy 1990 Member, Academy of Sciences, Russia 1990 Foreign Member, American Philosophical Society 1991 Honorary Doctor, Utrecht 1991 Honorary Doctor, Bologna 1991 Member, Academy of Natural Sciences, Russia 1991 Member, Academia Europaea 1992 N.V. Lobachevsky Prize of Russian Academy of Sciences 1994 Harvey Prize Technion Award 1994 Honorary Doctor, University of Madrid, Complutense 1997 Honorary Doctor, University of Toronto, Canada 2001 Wolf Prize of Wolf Foundation V.V.Kozlov Famous Springer author working in the field of general principles of dynamics, integrability of equations of motion, variational methods in mechanics, rigid body dynamics, stability theory, non-holonomic mechanics, impact theory, symmetries and integral invariants, mathematical aspects of statistical mechanics, ergodic theory and mathematical physics. 1973 Lenin Komsomol Prize (the major prize for young scientists in USSR) 1986 M.V. Lomonosov 1st Degree Prize (the major prize awarded by M.V. Lomonosov Moscow State University) 1988 S. A. Chaplygin Prize of Russian Academy of Sciences 1994 State Prize of the Russian Federation 1995 Member, Russian Academy of Natural Sciences 2000 S.V. Kovalevskaya Prize of Russian Academy of Sciences 2000 Member, Academy of Sciences, Russia 2003 Foreign member of the Serbian Science Society A.I.Neishtadt Neishtadt is also Springer Author, working in the field of perturbation theory (in particular averaging of perturbations, adiabatic invariants), bifurcation theory, celestial mechanics 2001 A.M.Lyapunov Prize of Russian Academy of Sciences (joint with D.V.Anosov))

Textul de pe ultima copertă

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.


Caracteristici

The first and the only monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magneto-hydrodynamics from a unified point of view. It has become a classical book and the standard reference by now: Google Scholar includes nearly 1800 citations of this book It includes over 70 figures, which helps the reader to "visualise", as opposed to "compute" hydrodynamics It includes the survey of recent developments for the last 20 years in this now-flourishing field of topological and geometric hydrodynamics. The corresponding survey bibliography includes over 250 titles