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Applied Mathematics Lecture Notes
Geometry and Physics
- A 33 page lecture from Oxford on the uses of geometry in physics.
Green's Functions
- A set of lecture notes introducing Green's functions for solving first and second order differential equations.
Linear Methods of Applied Mathematics
- Textbook suitable for a first course on partial differential equations, Fourier series and special functions, and integral equations by Evans M. Harrell II and James V. Herod. HTML, RTF and PDF with Maple and Mathematica worksheets.
Mathematical Methods in Physics
- Covers Conformal Field Theory, Modular Functor, Topological Quantum Field Theory and Frobenius Algebras, Operads, Homotyopy Algebra.
Methods in Mathematical Physics
- Covers Complex variables, special functions, second order linear ODEs, asymptotic expansions, Laplace transforms. (One large PS file)
Preparation for Gauge Theory
- Class lecture notes at a beginning graduate level on the mathematical background needed to understand classical gauge theory.
Spinors in Physics and Geometry
- A fourth year math/physics course with online lecture notes.
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