Titlebook: Mathematical Methods of Classical Mechanics; V. I. Arnold Textbook 1989Latest edition Springer-Verlag New York 1989 Lagrangian mechanics.M

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Variational principlesIn this chapter we show that the motions of a newtonian potential system are extremals of a variational principle, “Hamilton’s principle of least action.”

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cunning

Symplectic manifoldsA symplectic structure on a manifold is a closed nondegenerate differential 2-form. The phase space of a mechanical system has a natural symplectic structure.

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Introduction to perturbation theoryetely solvable “unperturbed” problems. These methods can be easily justified if we are investigating motion over a small interval of time. Relatively little is known about how far we can trust the conclusions of perturbation theory in investigating motion over large or infinite intervals of time.

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https://doi.org/10.1007/978-1-4757-2063-1Lagrangian mechanics; Mathematische Physik; Mechanik; Rigid body; Vector field; classical mechanics; diffe

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