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Topological Methods in Hydrodynamics

BuchPaperback
Verkaufsrang14808inMathematik
CHF168.00

Produktinformationen

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.
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Details

ISBN/GTIN978-3-030-74280-5
ProduktartBuch
EinbandPaperback
VerlagSpringer
Erscheinungsdatum14.05.2022
Auflage2nd ed. 2021
Reihen-Nr.125
Seiten476 Seiten
SpracheEnglisch
MasseBreite 155 mm, Höhe 235 mm, Dicke 26 mm
Gewicht715 g
KategorieMathematik
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Über die Autorin/den Autor

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.

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