Artículos relacionados a Methods of Differential Geometry in Analytical Mechanics...

Methods of Differential Geometry in Analytical Mechanics (Volume 158) (North-Holland Mathematics Studies, Volume 158) - Tapa dura

De León, M.; Rodrigues, P.R.

 
9780444880178: Methods of Differential Geometry in Analytical Mechanics (Volume 158) (North-Holland Mathematics Studies, Volume 158)

Sinopsis

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.

"Sinopsis" puede pertenecer a otra edición de este libro.

Reseña del editor

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.

"Sobre este título" puede pertenecer a otra edición de este libro.