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Graduate Classical Mechanics

Graduate Classical Mechanics

Graduate Classical Mechanics

This note describes the following topics: The Calculus of Variations, Fermat's Principle of Least Time, Hamilton's Principle and Noether's Theorem, Mechanical Similarity, Hamilton's Equations, Poisson Brackets, A New Expression for the Action, Maupertuis' Principle, Canonical Transformations, Liouville's Theorem, The Hamilton-Jacobi Equation, Adiabatic Invariants and Action-Angle Variables, Mathematics for Orbits, Keplerian Orbits, Elastic Scattering, Small Oscillations, Driven Oscillator, One-Dimensional Crystal Dynamics, Parametric Resonance, The Ponderomotive Force, Resonant Nonlinear Oscillations, Rigid Body Motion, Moments of Inertia, Rigid Body Moving Freely, Euler Angles, Eulers Equations, Non Inertial Frame, Coriolis effect, A Rolling Sphere on a Rotating Plane.

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