Mechanics pp 283-354 | Cite as

Geometric Aspects of Mechanics

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


Vector Field Tangent Space Tangent Vector Poisson Bracket Tangent Bundle 


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Chapter 5

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  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

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© Springer-Verlag Berlin Heidelberg 2005

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