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| Chapter | Title | Key Concepts | |---------|-------|----------------| | 1 | Linear motion | Newton’s laws, resistive forces, oscillations | | 2 | Central forces | Kepler problem, planetary motion, scattering | | 3 | Many-particle systems | Center of mass, collisions, rockets | | 4 | Rigid bodies | Rotation, inertia tensor, Euler angles | | 5 | Lagrangian mechanics | Principle of least action, Euler-Lagrange eqns | | 6 | Hamiltonian mechanics | Legendre transform, Hamilton’s eqns, phase space | | 7 | Small oscillations | Normal modes, coupled oscillators | | 8 | Continuous systems | Vibrating string, fields, Lagrangian density |