Dynamical Systems VII

Integrable Systems Nonholonomic Dynamical Systems

V.I. Arnol'd, S.P. Novikov (Herausgeber)

Buch | Softcover

VII, 344 Seiten

2010 | 1. Softcover reprint of hardcover 1st ed. 1994
Springer Berlin (Verlag)
978-3-642-05738-0 (ISBN)

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lt;p>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.

Erscheint lt. Verlag	4.12.2010
Reihe/Serie	Encyclopaedia of Mathematical Sciences
Co-Autor	A.T. Fomenko, V.Ya. Gershkovich, M.A. Olshanetsky, A.M. Perelomov, A.G. Rejman, M.A. Semenov-Tian-Shansky, V.V. Trofimov, A.M. Vershik
Übersetzer	A.G. Reyman, M.A. Semenov-Tian-Shansky
Zusatzinfo	VII, 344 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	538 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Algebra • Analysis • differential equation • Differential Geometry • Hamiltonian systems • Hamiltonsche Systeme • Integrable Systems • Integrierbare Systeme • Lie Algebras • Lie Algebren • Nichtholonome Mechanik • Nonholonomic Mechanics • Symplectic Geometry • symplektische Geo
ISBN-10	3-642-05738-1 / 3642057381
ISBN-13	978-3-642-05738-0 / 9783642057380
Zustand	Neuware