Global Aspects of Classical Integrable Systems

Larry M. Bates

ISBN 10: 3034809174 / ISBN 13: 9783034809177

Published by Springer Basel, Springer Basel Jun 2015, 2015

About this Item

Neuware -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.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 500 pp. Englisch.

Seller Inventory # 9783034809177

Bibliographic Details

• Title: Global Aspects of Classical Integrable Systems
• Publisher: Springer Basel, Springer Basel Jun 2015
• Publication Date: 2015
• Language: English
• ISBN 10: 3034809174
• ISBN 13: 9783034809177
• Binding: Buch
• Edition: 2nd Edition
• Condition: Neu

About this title

Synopsis

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.