Holm Darryl D Holm 
Geometric Mechanics – Part Ii: Rotating, Translating And Rolling (2nd Edition) [PDF ebook] 

Ajutor

See also GEOMETRIC MECHANICS – Part I: Dynamics and Symmetry (2nd Edition) This textbook introduces modern geometric mechanics to advanced undergraduates and beginning graduate students in mathematics, physics and engineering. In particular, it explains 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.The book uses familiar concrete examples to explain variational calculus on tangent spaces of Lie groups. Through these examples, the student develops skills in performing computational manipulations, starting from vectors and matrices, working through the theory of quaternions to understand rotations, then transferring these skills to the computation of more abstract adjoint and coadjoint motions, Lie-Poisson Hamiltonian formulations, momentum maps and finally dynamics with nonholonomic constraints.The organisation of the first edition has been preserved in the second edition. However, the substance of the text has been rewritten throughout to improve the flow and to enrich the development of the material. Many worked examples of adjoint and coadjoint actions of Lie groups on smooth manifolds have also been added and the enhanced coursework examples have been expanded. The second edition is ideal for classroom use, student projects and self-study.

€27.04
Metode de plata
Cumpărați această carte electronică și primiți încă 1 GRATUIT!
Limba Engleză ● Format PDF ● Pagini 412 ● ISBN 9781911298663 ● Editura World Scientific Publishing Company ● Publicat 2011 ● Descărcabil 3 ori ● Valută EUR ● ID 8081493 ● Protecție împotriva copiilor Adobe DRM
Necesită un cititor de ebook capabil de DRM

Mai multe cărți electronice de la același autor (i) / Editor

50.053 Ebooks din această categorie