Linear Methods of Applied Mathematics « http://www.mathphysics.com/pde/ | | This is a www textbook written by evans m. harrell ii and james v. herod , both of georgia tech. it is suitable for a first course on partial differential equations , fourier series and special functions , and integral equations. students are expected to h |
Mathematical Methods in Physics « http://www.math.umn.edu/~voronov/18.276/ | | Covers conformal field theory , modular functor , topological quantum field theory and frobenius algebras , |
Mathematical Tools for Physics « http://www.physics.miami.edu/nearing/mathmethods/ | | A text on the mathematics needed for upper level undergraduate physics courses by james nearing , university of miami (pdf). |
Methods of Mathematical Physics I « http://phy.syr.edu/~trodden/courses/mathmethods/ | | A set of lecture notes for this one semester course. |
Preparation for Gauge Theory « http://arxiv.org/abs/math-ph/9902027 | | Class lecture notes at a graduate level on the mathematical background needed to understand classical gauge theory. |
Spinors in Physics and Geometry « http://www.hep.uiuc.edu/home/rgleigh/class/spin/ | | A fourth year math/physics course at uiuc with online lecture notes. |