Geometric Mechanics - Part I: Dynamics and Symmetry

Klappentext Advanced undergraduate and graduate students in mathematics, physics and engineering. Zusammenfassung 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. This book includes an appendix! containing both introductory examples and enhanced coursework problems with worked answers. Inhaltsverzeichnis Fermat's Principle for Ray Optics; Reviews of the Contributions of Newton Lagrange! Euler! Hamilton! Lie! Poincare and Cartan in the Foundations of Geometric Mechanics; Rotations of a Rigid Body; Differential Forms; Lie Derivatives; Resonances and Symmetry Reduction; Geometric and Dynamic Phases; Elastic Spherical Pendulum; Maxwell-Bloch Equations for Laser-Matter Interaction.

Product details

• Authors: Darryl D Holm, Darryl D Holm, Darryl D (Imperial College London Holm, Darryl D. Holm
• Publisher: Imperial College Press
• Languages: English
• Product format: Hardback
• Released: 17.04.2008
• EAN: 9781848161955
• ISBN: 978-1-84816-195-5
• No. of pages: 376
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; MATHEMATICS / Applied, SCIENCE / Mechanics / General, Classical mechanics, Maths for scientists