Outline

The outline of the classical mechanics course

Classical Mechanics#

Classical mechanics provides the foundation for understanding the motion of objects and the forces that govern them.

Topics#

  • Introduction
  • Kinematics
  • Newton's Laws
  • Circular Motion
  • Drag Forces
  • Momentum and Impulse
  • Work and Energy
  • Collision Theory
  • Rotational Motion
  • Angular Momentum
  • Oscillations
  • Wave Motion
  • Non-inertial Frames
  • Central Forces
  • Lagrangian Mechanics
  • Hamiltonian Mechanics
  • Rigid Body Motion
  • Small Oscillations
  • Continuum Mechanics
  • Celestial Mechanics
  • Generalized Coordinates
  • Variational Principles
  • Symmetries and Conservation Laws
  • Hamilton-Jacobi Theory
  • Canonical Transformations
  • Poisson Brackets
  • Dynamical Systems
  • Nonlinear Dynamics
  • Chaos Theory
  • Canonical Quantization
  • Classical Field Theory

Resources#

Books#

  • Classical Mechanics by John R. Taylor
  • Classical Mechanics by Herbert Goldstein
  • Mathematical Methods of Classical Mechanics by Vladimir Arnold
  • Course of Theoretical Physics, Volume 1: Mechanics by Lev Landau, Evgeny Lifshitz
  • Kolenkow & Kleppner - An Introduction to Mechanics

Online Resources#

Practice Problems#