# Variational Principles in Classical Mechanics (Cline)

- Page ID
- 9557

This text emphasizes the important philosophical advantages of using variational principles, rather than the vectorial approach adopted by Newton, and attempts to bridge the chasm that exists between the approaches used in classical and quantum physics.

- Front Matter
- 1: A brief History of Classical Mechanics
- 2: Review of Newtonian Mechanics
- 3: Linear Oscillators
- 4: Nonlinear Systems and Chaos
- 5: Calculus of Variations
- 6: Lagrangian Dynamics
- 7: Symmetries, Invariance and the Hamiltonian
- 8: Hamiltonian Mechanics
- 9: Hamilton's Action Principle
- 10: Nonconservative Systems
- 11: Conservative two-body Central Forces
- 12: Non-inertial Reference Frames
- 13: Rigid-body Rotation
- 14: Coupled Linear Oscillators
- 15: Advanced Hamiltonian Mechanics
- 16: Analytical Formulations for Continuous Systems
- 17: Relativistic Mechanics
- 18: The Transition to Quantum Physics
- 19: Mathematical Methods for Classical Mechanics
- Back Matter