Methods of Differential Geometry in Analytical Mechanics (Mathematics Studies) (North-Holland Mathematics Studies)

by Manuel De Leon and Paulo R Rodrigues

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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.
  • ISBN10 0444880178
  • ISBN13 9780444880178
  • Publish Date 1 January 1989
  • Publish Status Out of Print
  • Out of Print 12 February 1993
  • Publish Country US
  • Imprint North-Holland
  • Format Hardcover
  • Pages 482
  • Language English