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Dynamical Systems VII

Integrable Systems Nonholonomic Dynamical Systems

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

Buch | Hardcover

VII, 344 Seiten

1993
Springer Berlin (Verlag)
9783540181767 (ISBN)

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One of the surveys gives a thorough analysis of a family of quantum integrable systems (Toda lattices) using the machinery of representation theory. Readers will find all the new differential geometric and Lie-algebraic methods which are currently used in the theory of integrable systems in this book. It will be indispensable to graduate students and researchers in mathematics and theoretical physics.

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	6.12.1993
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	654 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	Algebra • differential equation • Differentialgeometrie • Differential Geometry • Differenzialgeometrie • Dynamisches System • Dynamische Systeme • Hamiltonian systems • Hamiltonsche Systeme • Integrable Systems • Integrierbare Systeme • Lie Algebras • Lie Algebren • Liesche Algebren/Gruppen • Nichtholonome Mechanik • Nonholonomic Mechanics • Symplectic Geometry • symplektische Geo
ISBN-13	9783540181767 / 9783540181767
Zustand	Neuware