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Geometric Mechanics
Part II: Rotating, Translating and Rolling
Langbeschreibung
This textbook introduces the tools and language of modern geometric mechanics to advanced undergraduate and beginning graduate students in mathematics, physics, and engineering. It 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. The only prerequisites are linear algebra, multivariable calculus and some familiarity with Euler Lagrange variational principles and canonical Poisson brackets in classical mechanics at the beginning undergraduate level.
Inhaltsverzeichnis
Galilean Relativity; Reviews of the Contributions of Newton Lagrange, Euler, Hamilton, Lie, Noether and Poincare in the Foundations of Geometric Mechanics; Rotations, Using Quaternions and Their Adjoint and Coadjoint Operations; Special Orthogonal and Special Euclidean Groups; Heavy Tops; Euler-Poincare Equations; Lie-Poisson Hamiltonian Form; Momentum Maps; Round Rolling Bodies.
ISBN-13:
9781848167780
Veröffentl:
2011
Erscheinungsdatum:
31.10.2011
Seiten:
412
Autor:
Darryl D. Holm
Gewicht:
594 g
Format:
229x152x23 mm
Sprache:
Englisch
36,50 €*
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