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Dynamical systems.

Author: D V Anosov
Publisher: Berlin ; New York : Springer-Verlag, ©1988-<©2003>
Series: Encyclopaedia of mathematical sciences, v. 1-<6, 16, 39, 66-67>.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
1. Ordinary differential equations and smooth dynamical systems by D.V. Anosov, V.I. Arnold (eds.). 2. Ergodic theory with applications to dynamical systems an d statistical mechanics by Ya. G. Sinai (ed.). 3. [without special title]. 4. S ymplectic geometry and its applications by V.I. Arnold, S.P. Novikov (eds.).
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Additional Physical Format: Online version:
Dinamicheskie sistemy. English.
Dynamical systems.
Berlin ; New York : Springer-Verlag, ©1988-<c2003>
(OCoLC)622121742
Document Type: Book
All Authors / Contributors: D V Anosov
ISBN: 0387170022 9780387170022 3540170014 9783540170013 3540170006 9783540170006 0387170006 9780387170008 3540422072 9783540422075 3540572414 9783540572411 0387572414 9780387572413
OCLC Number: 16404140
Notes: Translation of: Dinamicheskie sistemy, issued as part of the series: Itogi nauki i tekhniki. Serii︠a︡ Sovremennye problemy matematiki.
Description: volumes <1-10; in 11> : illustrations ; 24 cm.
Contents: ʹd (ed.) 1. Ordinary differential equations and smooth dynamical systems / D.V. Anosov, V.I. Arnold (eds.) --
2. Ergodic theory with applications to dynamical systems and statistical mechanics / Ya. G. Sinai (ed.) --
3. [without special title] --
4. Symplectic geometry and its applications / V.I. Arnolʹd, S.P. Novikov (eds.)--
5. Bifurcation Theory and Catastrophe Theory / V.I. Arnolʹd (ed.)--
6. Singularity Theory I / V.I. Arnolʹd (ed.) --
8. Singularity Theory II Applications / V.I. Arn.
Series Title: Encyclopaedia of mathematical sciences, v. 1-<6, 16, 39, 66-67>.
Other Titles: Dinamicheskie sistemy.

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In addition, it details some interesting applications of the general theory of vortices, such as applications in numerical methods, stability theory, and the theory of exact integration of equations  Read more...

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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 Read more...

 
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