Topological Methods in Hydrodynamics by Vladimir I Arnold

Topological Methods in Hydrodynamics by Vladimir I Arnold

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.

Vladimir Arnold is one of the great mathematical scientists of our time. He is famous for both the breadth and the depth of his work.

His first mathematical work, which he did being a third-year student, was the solution of the 13th Hilbert problem about superpositions of continuous functions. His early work on KAM (Kolmogorov, Arnold, Moser) theory solved some of the outstanding problems of mechanics that grew out of fundamental questions raised by Poincare and Birkhoff based on the discovery of complex motions in celestial mechanics. In particular, the discovery of invariant tori, their dynamical implications, and attendant resonance phenomena is regarded today as one of the deepest and most significant achievements in the mathematical sciences.

Arnold has been the advisor to more than 60 PhD students, and is famous for his seminar which thrived on his ability to discover new and beautiful problems. He is known all over the world for his textbooks which include the classics Mathematical Methods of Classical Mechanics, and Ordinary Differential Equations, as well as the more recent Topological Methods m Hydrodynamics written together with Boris Khesin, and Lectures on Partial Differential Equations.

SKU	Unavailable
ISBN 13	9783030742805
ISBN 10	3030742806
Title	Topological Methods in Hydrodynamics
Author	Vladimir I Arnold
Series	Applied Mathematical Sciences
Condition	Unavailable
Binding Type	Paperback
Publisher	Springer Nature Switzerland AG
Year published	2022-05-14
Number of pages	455
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.