PS 205

PS 205 Mathematical Physics (3 units)

This course is designed to provide students with a comprehensive mathematical background to be used in physics. The topics covered are group theory and special functions, modern manifold theoretical approach to mechanics using algebraic geometry and where applicable, geometric algebra/Grassmann algebra.

Prerequisite: none

Bibliography
 
Bishop, Richard L. & Crittenden, Richard J., Geometry of Manifolds, New York: Academic Press Inc., 1964.
Georgi, Howard, Lie Algebras in Particle Physics: From Isospin to Unified Theories, Massachusetts: Benjamin/Cummings Publishing Company, Inc., 1982.
Goldstein, Herbert, Classical Mechanics 2nd Ed., Massachusetts: Addison-Wesley Publishing Company, Inc., 1980.
Hestenes, David, New Foundations for Classical Mechanics 2nd Ed., Dordrecht: Kluwer Academic Publishers, 1999.
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.
Martin, Daniel, Manifold Theory: An Introduction for Mathematical Physicists, New York: Ellis Horwood Ltd., 1991.
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.