Lagrangian and Hamiltonian approach of mechanics

• Lagrange method – Theory (Chapter 1 and 2): Lagrange’s equations and variational principles
• Lagrange method – Applications (Chapters 3-6):
• Two-body central force problem
• Rigid body motion: Kinematics and equation of motion
• Small Oscillations
• Formal Theory of Classical Mechanics (Chapters 8-10):
• The Hamilton equations of motion
• Canonical transformations
• Hamilton-Jacobi theory
• Classical Chaos (Chapter 11)
• Special Relativity (Chapter7)**and Canonical Perturbation Theory (Chapter 12)**