Preface Lecture 1 Introduction, Kinematics Lecture 2 Various Coordinate Systems, Coordinate Transformation Lecture 3 Newton's Laws of Motion Lecture 4 Work and Energy, Conservative Force Field Lecture 5 Inertial and Non-Inertial Reference System, Galileo Principle of Relativity Lecture 6 Integration of Equations of Motion ( I ) Lecture 7 Integration of Equations of Motion ( II ) :Velocity-Dependent Force Lecture 8 Integration of Equation of Motion ( III ) : Position-Dependent Force Lecture 9 Analytical Mechanics Lecture 10 Lagrangian Equation Lecture 11 Variational Principles of Mechanics Lecture 12 Symmetry and Conservation Law Lecture 13 Lagrangian Undetermined Multipliers Lecture 14 Hamiltonian Equations of Motion Lecture 15 Canonical Transformation, Hamilton-Jacobi Equation Lecture 16 Poisson Bracket, Phase Space and Liouville's Theorem Lecture 17 Motion in Central Force Field Lecture 18 Effective Potential and General Solutions Lecture 19 Inverse Square Law of Force Lecture 20 Stability of Orbits and Perturbations N Lecture 21 Applications of Central Force Motion Lecture 22 Scattering Problem Lecture 23 Force Law and Scattering Cross Section Lecture 24 Motion in Non-Inertial System Lecture 25 Applications of Non-Inertial System Lecture 26 Free Harmonic Oscillation Lecture 27 Damped Harmonic Oscillation Lecture 28 Forced Oscillation Lecture 29 Harmonic Oscillators in Two and Three Dimensions Lecture 30 Generalizations and Applications of Linear Oscillation Theory Lecture 31 Concept of Nonlinear Oscillation Lecture 32 Solutions of Nonlinear Oscillation (Ⅰ) Lecture 33 Solutions of Nonlinear Oscillation (Ⅱ) Lecture 34 Chaotic Oscillations Lecture 35 Two Coupled Oscillators and Their Normal Coordinates Lecture 36 General Theory of Small Oscillation (Ⅰ) Lecture 37 General Theory of Small Oscillation (Ⅱ) Lecture 38 Vibration of Molecule, Energy Dissipation and Absorption Lecture 39 Vibration in Continuous Medium: Wave Lecture 40 Propagation and Energy of Wave, Longitudinal Wave Lecture 41 Description of Rigid Body Motion Lecture 42 Principal Axes Transformation and Inertia Ellipsoid Lecture 43 Euler's Equation of Motion, Symmetrical Top Lecture 44 Fluid
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