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Linear Methods of Applied Mathematics - 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.Applied Mathematics Lecture NotesMethods in Mathematical Physics - Covers Complex variables, special functions, second order linear ODEs, asymptotic expansions, Laplace transforms. (One large PS file) Spinors in Physics and Geometry - A fourth year math/physics course with online lecture notes. Mathematical Methods in Physics - Covers Conformal Field Theory, Modular Functor, Topological Quantum Field Theory and Frobenius Algebras, Operads, Homotyopy Algebra. Preparation for Gauge Theory - Class lecture notes at a graduate level on the mathematical background needed to understand classical gauge theory. 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.
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