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Global aspects of classical integrab...

Bates, Larry M.

Global aspects of classical integrable systems[electronic resource] /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	514.74
書名/作者:	Global aspects of classical integrable systems/ by Richard H. Cushman, Larry M. Bates.
作者:	Cushman, Richard H.
其他作者:	Bates, Larry M.
出版者:	Basel : : Springer Basel :, 2015.
面頁冊數:	xviii, 477 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Dynamics.
標題:	Hamiltonian systems.
標題:	Physics.
標題:	Theoretical, Mathematical and Computational Physics.
ISBN:	9783034809184 (electronic bk.)
ISBN:	9783034809177 (paper)
摘要、提要註:	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.
電子資源:	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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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.
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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
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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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