Topological Methods In Hydrodynamics de Boris A. Khesin Format Broché

Topological Methods in Hydrodynamics - Boris A. Khesin

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Présentation Topological Methods In Hydrodynamics de Boris A. Khesin Format Broché
- Livre Littérature Générale

Livre Littérature Générale - Boris A. Khesin - 01/05/2022 - Broché - Langue : Anglais

Auteur(s) : Boris A. Khesin - Vladimir I. Arnold

Editeur : Springer International Publishing Ag

Langue : Anglais

Parution : 01/05/2022

Format : Moyen, de 350g à 1kg

Nombre de pages : 476

Expédition : 715

Dimensions : 23.5 x 15.5 x 2.6

ISBN : 3030742806

Résumé :
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.

Biographie:
Vladimir Arnold (1937-2010) graduated from Moscow State University, Russia. While a student of Andrey Kolmogorov, Arnold showed in 1957 that any continuous function of several variables can be constructed with a finite number of two-variable functions, thereby completing the solution of Hilbert's thirteenth problem. Arnold worked at Moscow State University, the Steklov Mathematical Institute in Moscow, Russia, and at Paris Dauphine University, France. His groundbreaking contributions enriched such areas as the Kolmogorov-Arnold-Moser theory, dynamical systems, singularity theory, algebraic geometry, symplectic geometry and topology, differential equations, classical mechanics, topological Galois theory, and hydrodynamics. Arnold was also well known as a popularizer of mathematics, the author of many textbooks (such as the famous Mathematical Methods of Classical Mechanics), and outspoken critic of the Bourbaki style in mathematics.

His awards include Shaw Prize, Wolf Prize, Lobachevsky Prize, Crafoord Prize, and many others. Boris Khesin studied mathematics at Moscow State University, Russia. After obtaining his PhD in 1990 under the guidance of Vladimir Arnold, he spent several years at UC Berkeley and Yale University, USA, before moving to Toronto, Canada. Currently he is a Professor of Mathematics at the University of Toronto. His research interests include infinite-dimensional groups, Hamiltonian and integrable dynamics. The book Topological Methods in Hydrodynamics authored by Arnold and Khesin appears to be accepted as one of the main references in the field.

...

Sommaire:
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....

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Topological Methods in Hydrodynamics - Boris A. Khesin

Avis sur Topological Methods In Hydrodynamics de Boris A. Khesin Format Broché - Livre Littérature Générale

Présentation Topological Methods In Hydrodynamics de Boris A. Khesin Format Broché - Livre Littérature Générale

Présentation Topological Methods In Hydrodynamics de Boris A. Khesin Format Broché
- Livre Littérature Générale