内容

目次

Part 1 Analytical mechanics: the Lagrangian coordinates; Hamiltoniansystems; transformation theory; the integration methods. Part 2 Basic ideasof differential geometry: manifolds and tangent spaces; differential forms;integration theory; Lie groups and Lie algebras. Part 3 Geometry and physics:symplectic manifolds and Hamiltonian systems; the orbits method; classicalelectrodynamics. Part 4 Integrable field theories: "KdV" equation; generalstructures; meaning and existence of recursion operators; miscellanea;integrability of fermionic dynamics.