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Geometry and Physics open in new window
A 33 page lecture from Oxford on the uses of geometry in physics.
(http://www-thphys.physics.ox.ac.uk/users/JamesBinney/G&P)

Linear Methods of Applied Mathematics open in new window
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 have completed two years of calculus and an introduction to ordinary differential equations and vector spaces. Topics include Fourier series, Green's functions, and PDEs.
(http://www.mathphysics.com/pde/)

Mathematical Methods in Physics open in new window
Covers Conformal Field Theory, Modular Functor, Topological Quantum Field Theory and Frobenius Algebras, Operads, Homotyopy Algebra.
(http://www.math.msu.edu/~voronov/18.276/index.html)

Methods in Mathematical Physics open in new window
Covers Complex variables, special functions, second order linear ODEs, asymptotic expansions, Laplace transforms. (One large PS file)
(http://www.cam.ac.uk/CambUniv/Societies/archim/notes/iib/mmp)

Methods of Mathematical Physics I open in new window
A set of lecture notes for this one semester course.
(http://phy.syr.edu/~trodden/courses/mathmethods/)

Preparation for Gauge Theory open in new window
Class lecture notes at a graduate level on the mathematical background needed to understand classical gauge theory.
(http://arxiv.org/abs/math-ph/9902027)

Spinors in Physics and Geometry open in new window
A fourth year math/physics course with online lecture notes.
(http://w3.hep.uiuc.edu/~leigh/class/spin/syllabus.html)


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