Topological Methods in Hydrodynamics

Vladimir I. Arnold, Boris A. Khesin (Autoren)

Buch | Softcover

376 Seiten

2013 | Softcover reprint of the original 1st ed. 1998
Springer-Verlag New York Inc.
978-1-4757-7153-4 (ISBN)

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Topological Methods in Hydrodynamics

Vladimir I. Arnold, Boris A. Khesin

2021, 2. Auflage

Buch | Hardcover

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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.

The first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics from a unified point of view. It describes the necessary preliminary notions both in hydrodynamics and pure mathematics with numerous examples and figures. The book is accessible to graduates as well as pure and applied mathematicians working in hydrodynamics, Lie groups, dynamical systems, and differential geometry.

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.

Reihe/Serie	Applied Mathematical Sciences ; 125
Zusatzinfo	XV, 376 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Gewicht	605 g
Themenwelt	Informatik ► Theorie / Studium ► Künstliche Intelligenz / Robotik
	Mathematik / Informatik ► Mathematik
	Naturwissenschaften ► Physik / Astronomie ► Strömungsmechanik
	Naturwissenschaften ► Physik / Astronomie ► Thermodynamik
ISBN-10	1-4757-7153-3 / 1475771533
ISBN-13	978-1-4757-7153-4 / 9781475771534
Zustand	Neuware