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Global aspects of classical integrab...

Bates, Larry M.

Global aspects of classical integrable systems[electronic resource] /

Record Type:	Language materials, printed : Monograph/item
[NT 15000414]:	514.74
Title/Author:	Global aspects of classical integrable systems/ by Richard H. Cushman, Larry M. Bates.
Author:	Cushman, Richard H.
other author:	Bates, Larry M.
Published:	Basel : : Springer Basel :, 2015.
Description:	xviii, 477 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
Subject:	Dynamics.
Subject:	Hamiltonian systems.
Subject:	Physics.
Subject:	Theoretical, Mathematical and Computational Physics.
ISBN:	9783034809184 (electronic bk.)
ISBN:	9783034809177 (paper)
[NT 15000229]:	This book gives a uniquely complete description of the geometry of the energy momentum mapping of five classical integrable systems: the 2-dimensional harmonic oscillator, the geodesic flow on the 3-sphere, the Euler top, the spherical pendulum and the Lagrange top. It presents for the first time in book form a general theory of symmetry reduction which allows one to reduce the symmetries in the spherical pendulum and the Lagrange top. Also the monodromy obstruction to the existence of global action angle coordinates is calculated for the spherical pendulum and the Lagrange top. The book addresses professional mathematicians and graduate students and can be used as a textbook on advanced classical mechanics or global analysis.
Online resource:	http://dx.doi.org/10.1007/978-3-0348-0918-4

Global aspects of classical integrable systems[electronic resource] /
Cushman, Richard H.

Global aspects of classical integrable systems[electronic resource] /by Richard H. Cushman, Larry M. Bates. - 2nd ed. - Basel :Springer Basel :2015. - xviii, 477 p. :ill., digital ;24 cm.

This book gives a uniquely complete description of the geometry of the energy momentum mapping of five classical integrable systems: the 2-dimensional harmonic oscillator, the geodesic flow on the 3-sphere, the Euler top, the spherical pendulum and the Lagrange top. It presents for the first time in book form a general theory of symmetry reduction which allows one to reduce the symmetries in the spherical pendulum and the Lagrange top. Also the monodromy obstruction to the existence of global action angle coordinates is calculated for the spherical pendulum and the Lagrange top. The book addresses professional mathematicians and graduate students and can be used as a textbook on advanced classical mechanics or global analysis.

ISBN: 9783034809184 (electronic bk.)

Standard No.: 10.1007/978-3-0348-0918-4doiSubjects--Topical Terms:

175836
Dynamics.

LC Class. No.: QA845

Dewey Class. No.: 514.74

Global aspects of classical integrable systems[electronic resource] /
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020 $a 9783034809177 (paper)
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072 7 $a SCI040000 $2 bisacsh
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090 $a QA845 $b .C986 2015
100 1 $a Cushman, Richard H. $3 627756
245 1 0 $a Global aspects of classical integrable systems $h [electronic resource] / $c by Richard H. Cushman, Larry M. Bates.
250 $a 2nd ed.
260 $a Basel : $b Springer Basel : $b Imprint: Birkhauser, $c 2015.
300 $a xviii, 477 p. : $b ill., digital ; $c 24 cm.
520 $a This book gives a uniquely complete description of the geometry of the energy momentum mapping of five classical integrable systems: the 2-dimensional harmonic oscillator, the geodesic flow on the 3-sphere, the Euler top, the spherical pendulum and the Lagrange top. It presents for the first time in book form a general theory of symmetry reduction which allows one to reduce the symmetries in the spherical pendulum and the Lagrange top. Also the monodromy obstruction to the existence of global action angle coordinates is calculated for the spherical pendulum and the Lagrange top. The book addresses professional mathematicians and graduate students and can be used as a textbook on advanced classical mechanics or global analysis.
650 0 $a Dynamics. $3 175836
650 0 $a Hamiltonian systems. $3 383764
650 1 4 $a Physics. $3 171863
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 464132
700 1 $a Bates, Larry M. $3 627757
710 2 $a SpringerLink (Online service) $3 463450
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-3-0348-0918-4
950 $a Physics and Astronomy (Springer-11651)

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