Mathematical Methods of Classical Mechanics

@inproceedings{Arnold1974MathematicalMO,
  title={Mathematical Methods of Classical Mechanics},
  author={Vladimir I. Arnold},
  year={1974}
}
Part 1 Newtonian mechanics: experimental facts investigation of the equations of motion. Part 2 Lagrangian mechanics: variational principles Lagrangian mechanics on manifolds oscillations rigid bodies. Part 3 Hamiltonian mechanics: differential forms symplectic manifolds canonical formalism introduction to pertubation theory. 

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LAGRANGIAN MECHANICS ON KAHLER MANIFOLDS

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On the Geometry of Variational Principles of Physics

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Formulations of Classical Mechanics

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I outline three formulations of classical mechanics, Newtonian, Lagrangian, and Hamiltonian mechanics, that are ordinarily seen as fully equivalent—notational variants of a single theory. I point to

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This contribution gives a possible solution of the major question whether it is possible to construct a classical mechanical theory which not only contains all the advantages of the Hamiltonian

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