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

apropos

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.”

使隔離

阻塞

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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保全

輕而薄

固執(zhí)點(diǎn)好

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.

Galactogogue

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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