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Variational principles in classical mechanics /

Cline, Douglas.

Variational principles in classical mechanics / Douglas, cline. - University of Rochester River CampusLibraries : Newyork, c2019. - xxii, 565p.: ill.; 28 cm.

Includes bibliography and indexes.

A brief history of classical mechanics -- Review of Newtonian mechanics --Linear oscillators -- Nonlinear systems and chaos -- Calculus of variations -- Lagrangian dynamics --Symmetries, invariance and the Hamiltonian -- Hamiltonian mechanics -- Hamilton's action principle --Nonconservative systems -- Conservative two-body central forces -- Non-inertial reference frames -- Rigid-body rotation -- Coupled linear oscillators -- Advanced Hamiltonian mechanics -- Analytical formulations for continuous systems --Relativist mechanics --The transition to quantum physics -- Epilogue.

9780998837291

QA801 / .C55 2019