A survey of topics of recent interest in Hamiltonian and Lagrangian dynamical
systems, including accessible discussions of regularization of the central
force problem; inequivalent Lagrangians and Hamiltonians; constants of central
force motion; a general discussion of higher-order Lagrangians and Hamiltonians
with examples from Bohmian quantum mechanics, the Korteweg-de Vries equation
and the logistic equation; gauge theories of Newtonian mechanics; classical
spin, Grassmann numbers, and pseudomechanics.Comment: Einstein Centennial Review Article, 48 page