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Dynamical Systems VII : Integrable Systems Nonholonomic Dynamical Systems - V. I. Arnold

Dynamical Systems VII

Integrable Systems Nonholonomic Dynamical Systems

By: V. I. Arnold (Editor), A. T. Fomenko (Contribution by), A. G. Reyman (Translator), S. P. Novikov (Editor), M. A. Semenov-Tian-Shansky (Translator)

Hardcover Published: 6th December 1993
ISBN: 9783540181767
Number Of Pages: 344

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A collection of five surveys on dynamical systems, indispensable for graduate students and researchers in mathematics and theoretical physics. Written in the modern language of differential geometry, the book covers all the new differential geometric and Lie-algebraic methods currently used in the theory of integrable systems.

Contents: Nonholonomic Dynamical Systems, Geometry of Distributions and Variational Problems by A.M. Vershik, V.Ya. Gershkovich.- Integrable Systems and Infinite Dimensional Lie Algebras by M.A. Olshanetsky, M.A. Perelomov.- Group-Theoretical Methods in the Theory of Finite-Dimensional Integrable Systems by A.G. Reyman, M.A. Semenov-Tian-Shansky.- Quantization of Open Toda Lattices by M.A. Semenov-Tian-Shansky.- Geometric and Algebraic Mechanisms of the Integrability of Hamiltonian Systems on Homogeneous Spaces and Lie Algebras by V.V. Trofimov, A.T. Fomenko.

ISBN: 9783540181767
ISBN-10: 3540181768
Series: Encyclopaedia of Mathematical Sciences
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 344
Published: 6th December 1993
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.5 x 15.5  x 2.0
Weight (kg): 1.49