Matrices, Vectors, and Vector Calculus. Newtonian Mechanics: Single Particle. Oscillations. Nonlinear Oscillations and Chaos. Gravitation. Some Methods in the Calculus of Variation. Hamilton's Principle: Lagrangian and Hamilton's Dynamics. Central-Force Motion. Dynamics of a System of Particles. Motion in a Noninertial Reference Frame. Dynamics of Rigid Bodies. Coupled Oscillations. Continuous Systems: Waves. The Special Theory of Relativity.
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