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Global aspects of classical integrab...

Cushman, Richard H.

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Global aspects of classical integrable systems

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/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. -
電子資源:	http://dx.doi.org/10.1007/978-3-0348-0918-4
ISBN:	9783034809184 (electronic bk.)

Global aspects of classical integrable systems
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:

519830
Dynamics.

LC Class. No.: QA845

Dewey Class. No.: 514.74

Global aspects of classical integrable systems
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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.
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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 519830
650 0 $a Hamiltonian systems. $3 629810
650 1 4 $a Physics. $3 516296
650 2 4 $a Theoretical, Mathematical and Computational Physics. $3 1066859
700 1 $a Bates, Larry M. $3 2156955
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950 $a Physics and Astronomy (Springer-11651)