LECTURES ON DYNAMICS
Lecture 1
Problems
Elementary
Newtonian Mechanics. Energy and Momentum
Conservations. Kepler Problem
Lecture 2
Problems
Hamiltonian
Principle. Lagrange Equatuion. Symmetries,
Noether Theorem and Conservation Laws
Lecture 3
Problems
Hamiltonian
Equations of Motion. Principle of Least Action
Lecture 4
Problems
Geometrical
Aspects of Mechanics. Kepler Problem Revisited
Lecture 5
Problems
Small
Oscillations. Resonance
Lecture 6
Probkems
Relativistic
Mechanics of a Point Particle
Lecture 7
Problems
Mechanics
in Non-inertial Frames
Lecture 8
Problems
Kinematic
of Rigid Body
Lecture 9
Problems
Dynamics
of Rigid Body
Lecture 10
Poisson
Brackets, Canonical Transformaion and
Hamiltonon-Jacoby Theory
Lecture 11
Adiabatic Invariants
Lecture 12
Problems
Stability
Lecture 13
Problems
Integrable
and Chaotics Dynamics. Strange Attractors
Lecture 14
Problems
Lagrangian
and Hamilonian Formulation of Continuous Mechanics
Lecture 15
Problems
A
Bridge between Classical and Quantum Mechanics
Appendix 1
Perturbation
Theory
Appendix 2
Infinitely-dimensional
Integrable Hamiltonian Systems
Appendix 3
Problems
Bibliography