MATH 259A-B-C. Geometrical Physics (4-4-4 units)
Link to catalog page: https://catalog.ucsd.edu/courses/MATH.html#math259c
Description
Manifolds, differential forms, homology, deRham’s theorem. Riemannian geometry, harmonic forms. Lie groups and algebras, connections in bundles, homotopy sequence of a bundle, Chern classes. Applications selected from Hamiltonian and continuum mechanics, electromagnetism, thermodynamics, special and general relativity, Yang-Mills fields. Prerequisites: graduate standing in mathematics, physics, or engineering, or consent of instructor.
Prerequisite courses
MATH 259A-B-C has no prerequisite courses.
Successor courses
No courses have MATH 259A-B-C as a prerequisite.