The Hamiltonian formulation provides a very elegant and symmetrical description of mechanics. Not only has Hamiltonian theory given rise to a rich body of mathematics,but the theory provides an excellent tool for solving a wide variety of problems in mechanics,fluid dynamics, cosmology,quantum mechanics,and other areas.
Hamiltonian theory encompasses both classical mechanics and modern dynamical systems.
This talk will review some basic features of Hamiltonian systems, and then examine some interesting problems in particle dynamics.