Geometric Mechanics - Part Ii: Rotating, Translating and Rolling

Klappentext Advanced undergraduate and graduate students in mathematics, physics and engineering. Zusammenfassung Introduces the tools and language of modern geometric mechanics to advanced undergraduate and beginning graduate students in mathematics! physics! and engineering. This book treats the dynamics of rotating! spinning and rolling rigid bodies from a geometric viewpoint! by formulating their solutions as coadjoint motions generated by Lie groups. Inhaltsverzeichnis Galilean Relativity; Newton! Lagrange and Hamilton's Treatments of the Rigid Body; Quaternions; Quaternionic Conjugacy and Adjoint Actions; The Special Orthogonal Group SO(3); The Special Euclidean Group SE(3); Euler-Poincare & Lie-Poisson Equations on SE(3); Heavy Top Equations; The Euler-Poincare Theorem; Euler-Poincare Reduction by Symmetry; Lie-Poisson Hamiltonian Form of the Classical Spin Chain; Momentum Maps; Round Rolling Rigid Bodies.

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: 15.04.2008
• EAN: 9781848161559
• ISBN: 978-1-84816-155-9
• No. of pages: 312
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; MATHEMATICS / Applied, SCIENCE / Mechanics / General, Classical mechanics, Maths for scientists