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Variational Principles in Classical Mechanics
Published 2019Table of Contents: “…1 A brief history of classical mechanics -- 2 Review of Newtonian mechanics -- 3 Linear oscillators -- 4 Nonlinear systems and chaos -- 5 Calculus of variations -- 6 Lagrangian dynamics -- 7 Symmetries, Invariance and the Hamiltonian -- 8 Hamiltonian mechanics -- 9 Hamilton’s Action Principle -- 10 Nonconservative systems -- 11 Conservative two-body central forces -- 12 Non-inertial reference frames -- 13 Rigid-body rotation -- 14 Coupled linear oscillators -- 15 Advanced Hamiltonian mechanics -- 16 Analytical formulations for continuous systems -- 17 Relativistic mechanics -- 18 The transition to quantum physics -- 19 Epilogue…”
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Effective Theories in Physics From Planetary Orbits to Elementary Particle Masses /
Published 2012Table of Contents: “…The Utility of Effective Theories -- Harmonic Oscillator as an Effective Theory -- Effective Theories of Classical Gravity -- Effective Theories and Elementary Particle Masses -- Effective Theories and Theory Choice.…”
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