Methods of Differential Geometry in Analytical Mechanics

By Manuel de León, Manuel de Len̤, Paulo R. Rodrigues

The differential geometric formulation of analytical mechanics not only offers a new insight into Mechanics, but also provides a more rigorous formulation of its physical content from a mathematical viewpoint. Topics covered in this volume include differential forms, the differential geometry of tangent and cotangent bundles, almost tangent geometry, symplectic and pre-symplectic Lagrangian and Hamiltonian formalisms, tensors and connections on manifolds, and geometrical aspects of variational and constraint theories. The book may be considered as a self-contained text and only presupposes that readers are acquainted with linear and multilinear algebra as well as advanced calculus.

• Format: Paperback
• Language: English
• ISBN: 0444558276
• ISBN13: 9780444558275
• Release Date: January 2012
• Publisher: North Holland
• Length: 494 Pages
• Weight: 1.94 lbs.
• Dimensions: 9.5" x 1.1" x 6.5"