Research Catalog

Introduction to mechanics and symmetry : a basic exposition of classical mechanical systems

Title
Introduction to mechanics and symmetry : a basic exposition of classical mechanical systems / Jerrold E. Marsden, Tudor S. Rațiu.
Author
Marsden, Jerrold E.
Publication
New York : Springer-Verlag, ©1994.

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StatusFormatAccessCall NumberItem Location
TextUse in library QA808 .M33 1994Off-site

Details

Additional Authors
Rațiu, Tudor S.
Description
xiv, 500 pages : illustrations; 25 cm
Series Statement
Texts in applied mathematics ; 17
Uniform Title
Texts in applied mathematics ; 17.
Subject
  • Mechanics, Analytic
  • Symmetry (Physics)
  • Theoretische Mechanik
  • Symmetrie
  • Mechanica
  • Symmetrie
  • Hamiltonian systems
  • Mécanique analytique
  • Symétrie (Physique)
Note
  • Includes bibliographical references (p. [465]-492) and index.
Bibliography (note)
  • Includes bibliographical references (pages 465-492) and index.
Contents
1. Introduction and Overview -- 2. Hamilton Systems on Linear Symplectic Spaces -- 3. Introduction to Infinite-Dimensional Systems -- 4. Interlude: Manifolds, Vector Fields, Differential Forms -- 5. Hamiltonian Systems on Symplectic Manifolds -- 6. Cotangent Bundles -- 7. Lagrangian Mechanics -- 8. Variational Principles, Constraints, Rotating Systems -- 9. Introduction to Lie Groups -- 10. Poisson Manifolds -- 11. Momentum Maps -- 12. Computation and Properties of Momentum Maps -- 13. Euler-Poincare and Lie-Poisson Reduction -- 14. Coadjoint Orbits -- 15. Free Rigid Body.
ISBN
  • 0387972757
  • 9780387972756
  • 3540972757
  • 9783540972754
  • 0387943471
  • 9780387943473
  • 3540943471
  • 9783540943471
LCCN
94010793
OCLC
  • ocm30073716
  • 30073716
  • SCSB-2040735
Owning Institutions
Princeton University Library