PS 201

PS 201 Theoretical Mechanics (3 units)

This course introduces the students to non-relativistic classical mechanics. It includes discussions on space and time manifolds; symmetries and Galilean relativity; Newtonian dynamics; the tangent bundle, constraint surfaces and Lagrangian dynamics; Hamiltonian formulation, the canonical equations; rotation and translation of rigid bodies; the symplectic manifold, Hamiltonian flows and canonical transformations; Hamilton-Jacobi method and action-angle variables; linear oscillation, coupled oscillators and continuous media. In line with its aim to provide students with a comprehensive and updated understanding of theoretical mechanics, an introduction to non-linear phenomenon shall also be included.

Prerequisite: PS 101

Bibliography

Arnold, V., Mathematical Methods of Classical Mechanics 2nd Ed., Springer-Verlag.
Goldstein, Herbert, Classical Mechanics 2nd Ed., Massachusetts: Addison-Wesley Publishing Company, Inc., 1980.
Jose, Jorge V. & Saletan, Eugene J., Classical Dynamics: A Contemporary Approach, Cambridge: Cambridge University Press, 1998.
Marion, Jerry B., Classical Dynamics of Particles and Systems 2nd Ed., New York: Academic Press, 1970.
Scheck, Florian, Mechanics: From Newton’s Laws to Deterministic Chaos, Berlin: Springer-Verlag, 1994.
Schutz, Bernard, Geometrical Methods of Mathematical Physics, Cambridge: Cambridge University Press, 1995.