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Topological Methods in Hydrodynamics / by Vladimir I. Arnold, Boris A. Khesin.
Springer Nature - Springer Mathematics and Statistics eBooks 2021 English International Available online
View online- Format:
- Book
- Author/Creator:
- Arnolʹd, V. I. (Vladimir Igorevich), 1937-2010, author.
- Khesin, Boris A., author.
- Series:
- Applied Mathematical Sciences, 2196-968X ; 125
- Language:
- English
- Subjects (All):
- Mathematics.
- Fluid mechanics.
- System theory.
- Computational intelligence.
- Statistical physics.
- Dynamics.
- General Mathematics.
- Engineering Fluid Dynamics.
- Complex Systems.
- Computational Intelligence.
- Statistical Physics.
- Dynamical Systems.
- Local Subjects:
- General Mathematics.
- Engineering Fluid Dynamics.
- Complex Systems.
- Computational Intelligence.
- Statistical Physics.
- Dynamical Systems.
- Physical Description:
- 1 online resource (XX, 455 p. 79 illus.)
- Edition:
- 2nd ed. 2021.
- Place of Publication:
- Cham : Springer International Publishing : Imprint: Springer, 2021.
- Summary:
- 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.
- Contents:
- 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.
- ISBN:
- 3-030-74278-4
- OCLC:
- 1252659008
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