Authors:
- Well-known first-rate author
- Treats a major topic in mathematical physics
- Includes supplementary material: sn.pub/extras
Part of the book series: Encyclopaedia of Mathematical Sciences (EMS, volume 67)
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Table of contents (5 chapters)
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Front Matter
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Back Matter
About this book
Reviews
From the reviews:
"This is a very interesting, nicely written book on deep mathematical analogies between hydrodynamics, geometric optics and mechanics. […] The book will surely be of interest to researchers and postgraduate students in mathematical physics and mechanics."
EMS Newsletter December 2005
"... Kozlov's very valuable contribution to the Encyclopaedia of Mathematical Sciences explores the world from the point of view of the vortex, its role in a variety of theories with an acknowledgement of the history of the argument originating in the rivalry of the Cartesian and Newtonian views of the world. ..."
C.Athorne, University of Glasgow, Contemporary Physics 2004, Vol. 45, Issue 5
"Kozlov’s very valuable contribution to the Encyclopedia of Mathematical Sciences explores the world from the point of view of the vortex, its role in a variety of theories with an acknowledgement of the history of the argument originating in the rivalry of the Cartesian and Newtonian views of the world. Thus, the impulse behind the book is to make precise and formalize analogies between the motions of ideal fluids and the classical mechanics of conservative systems."
Dr. C. Athorne, Contemporary Physics, Vol. 45 (5), 2004
"The book is a translation from the 1998 original work appeared in Russian. … the author highlights some analogies between hydrodynamics, classical mechanics, geometrical optics, and symplectic geometry. … The book will be of great interest to researchers working on this or related subjects."
G.Schneider, ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik, Vol. 84 (10-11), 2004
"This book is devoted to a mathematical description of analogies between hydrodynamics, geometrical optics and classical mechanics. The basic idea is that the study of families of trajectories of Hamiltonian systems can be reduced to the investigation of multidimensionalideal fluid dynamics. The book contains four chapters and three appendices. … can be recommended to researchers and graduate students interested in mathematical physics, mechanics and differential equations." (Tibor Krisztin, Acta Scientiarum Mathematicarum, Vol. 74, 2008)
Authors and Affiliations
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Department of Mathematics and Mechanics, Moscow State University, Moscow, Russia
V. V. Kozlov
Bibliographic Information
Book Title: Dynamical Systems X
Book Subtitle: General Theory of Vortices
Authors: V. V. Kozlov
Series Title: Encyclopaedia of Mathematical Sciences
DOI: https://doi.org/10.1007/978-3-662-06800-7
Publisher: Springer Berlin, Heidelberg
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eBook Packages: Springer Book Archive
Copyright Information: Springer-Verlag Berlin Heidelberg 2003
Hardcover ISBN: 978-3-540-42207-5Published: 12 May 2003
Softcover ISBN: 978-3-642-07584-1Published: 01 December 2010
eBook ISBN: 978-3-662-06800-7Published: 09 March 2013
Series ISSN: 0938-0396
Edition Number: 1
Number of Pages: VIII, 184
Additional Information: Original Russian edition published by Izdatel'skij Dom, Udmurtskij Universitet, 1998
Topics: Classical Mechanics, Analysis, Geometry, Complex Systems, Statistical Physics and Dynamical Systems