Classical Physics

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Introduction – Newtonian mechanics – Dynamics in phase space – Linear dynamical systems – Autonomous dynamical systems – Lagrangian formalism – Summary of classical electromagnetism – Charged particle in an electromagnetic field – Hamiltonian dynamics – Dynamical symmetry – Randomness in phase space – Discrete-time dynamics – Problems and solutions – Classical statistical mechanics: Introduction – Some probability distributions; isolated system – The microcanonical emsemble – Thermodynamics – The canonical ensemble – Connection between statistical mechanics and ther-modynamics – Probability distributions – Phase transitions – Continuous groups in physics – Noether’s Theorem – Special Relativity

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