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Mechanics pp 283-354 | Cite as

Geometric Aspects of Mechanics

Part of the Advanced Texts in Physics book series (ADTP)

Keywords

Vector Field Tangent Space Tangent Vector Poisson Bracket Tangent Bundle 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Chapter 5

  1. Abraham, R., Marsden, J.E.: Foundations of Mechanics (Benjamin Cummings, Reading 1981)Google Scholar
  2. Arnol’d, V.I.: Mathematical Methods of Classical Mechanics (Springer, New York, Berlin, Heidelberg 2nd ed. 1989)Google Scholar
  3. Guillemin, V., Sternberg, S.: Symplectic Techniques in Physics (Cambridge University Press, New York 1990)Google Scholar
  4. Hofer, H., Zehnder, E.: Symplectic Invariants and Hamiltonian Dynamics (Birkhäuser, Basel, 1994)Google Scholar
  5. Marsden, J.E., Ratiu, T.S.: Introduction to Mechanics and Symmetry (Springer, New York, 1994)Google Scholar
  6. O’Neill, B.: Semi-Riemannian Geometry, With Applications to Relativity (Academic, New York 1983)Google Scholar
  7. Thirring, W.: A Course in Mathematical Physics, Vol. 1: Classical Dynamical Systems (Springer, Berlin, Heidelberg 2nd ed. 1992)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2005

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