Surf these sites: An Introduction to Noncommutative Geometry -- A set of lecture notes on noncommutative geometry and the applications in physics. Burger''s Equation -- An overview of the simplest differential equation which allows for shocks and other discontinuities. Burger''s Equation -- An applet demonstrating Burger''s equation in one dimension. CLICAL -- CLICAL can evaluate elementary functions with arguments in Clifford algebras, generalizations of quaternions and the exterior algebra. It runs on MS-DOS . Celestial mechanics research -- Links, animations, references, and a brief description of research into n-body problems. Differential Equations and Oscillations -- Many problems in physics are described by differential equations. As a complete discussion of differential equations is beyond the scope of this chapter we will deal only with linear first and second order ordinary differential equations. Dimensional Analysis -- A simple review of the powerful tecnique of dimensional analysis. Finding Green''s Functions for ODE''s -- A brief but technical overview of methods of finding Green''s functions Geometric Algebra and it Applications in Mathematical Physics -- A thesis (downloadable in postscript format) on applications of geometric algebra and Clifford algebras in mathematical physics. Holomorphic Methods in Mathematical Physics -- This set of lecture notes gives an introduction to holomorphic function spaces as used in mathematical physics. The emphasis is on the Segal-Bargmann space and the canonical commutation relations. Homological Methods in Mathematical Physics -- These lecture notes are a systematic and self-contained exposition of the cohomological theories naturally related to partial differential equations Introduction to Green''s functions -- Green''s functions play an important role in the solution of linear ordinary and partial differential equations, and are a key component to the development of boundary integral equation methods. Preparation for Gauge Theory -- Class lecture notes at a beginning graduate level on the mathematical background needed to understand classical gauge theory. Radial Symmetric Fourier Transforms -- Fourier transforms of radially-symmetric functions can be performed efficiently using the Hankel transform of order zero. Illustrations of the method are presented, and of the Gibbs'' phenomenon. Symplectic Geometries in Quantum Physics and Optics -- A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics The Twistor Theory Website -- Twistor theory offers a new approach, starting with conformally-invariant concepts, to the synthesis of quantum theory and relativity. This Week''s Finds in Mathematical Physics -- This is a column written about modern topics in mathematical physics. Topology and Physics -- An essay on the historical connection between topology and physics. Twistors- What are they? -- A set of notes introducing spinors and twistors.
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