Quick Index on Classical Mechanics

Quick Index on Classical Mechanics

Kinematics

 * Vector space, velocity and acceleration
 * Curvilinear coordinates and coordinate transformation
 * Kinematic constraints, holonomic constraints and non-holonomic constraints
 * Infinite element analysis
 * Euler angles and rotation body frame
 * Relative motion, Galileo transformation and Lorentz transformation
 * Kinematic analysis and kinematic synthesis
 * Kinematics in curved space

Newton's law

 * Newtonian mechanics
 * Lagrangian mechanics, Goldstein

Work and energy conservation

 * Work and mechanic energy in Newtonian mechanics
 * Generalized work and energy conservation in statistical physics
 * Energy momentum tensor and conservation in classical eletrodynamics
 * Time invariance and Hamiltonian in Lagrangian mechanics
 * Translational invariance and energy momentum conservation in relativistic field theory
 * Hamiltonian as generator of infinitesimal time translation in quantum mechanics
 * Virtual work and d'Alembert's principle

Rigid body problem

 * Kinematics, Euler's angle
 * Dynamics, Euler's equation. Goldstein

Oscillation

 * Harmonic oscillator and damped oscillator
 * Coupled oscillation, Goldstein

Wave

 * Wave equations and d'Alembert's formula
 * Mechanical wave, electromagnetic wave, probability wave
 * Energy propagation in sound wave and in EM wave, Poynting vector
 * Polarization
 * Reflection and refraction
 * Dispersion and group velocity
 * Non-relativistic and relativistic Doppler effect, Mach's cone
 * Characteristic vibrations and wave guide
 * Diffraction and interference
 * Spherical wave and lateral wave
 * Shock waves

Landau fluid mechanics, Sakurai quantum mechanics, Cai classical electrodynamics, Hu, mathematical method in physics

Fluid dynamics

 * Ideal fluids
 * Viscous fluids
 * Turbulence
 * Shock waves
 * Relativistic ideal hydrodynamics
 * Non-newtonian fluid, second order Israel-Steward theory

Landau fluid mechanics, Heinz, notes