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Geometric Mechanics - Part I: Dynamics And Symmetry (2nd Edition) - Holm, Darryl D (Imperial College London, Uk)

Introduces the tools and language of modern geometric mechanics to advanced undergraduates and beginning graduate students. This book treats the dynamics of ray optics, resonant oscillators and the elastic spherical pendulum from a unified geometric viewpoint, by formulating their solutions using reduction by Lie-group symmetries.

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