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Top > Science > Physics > Mathematical Physics 


Dimensional Analysis  A simple review of the powerful technique of dimensional analysis. Burger's Equation  An applet demonstrating Burger's equation in one dimension. Burger's Equation  An overview of the simplest differential equation which allows for shocks and other discontinuities. 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. Twistor Theory Website  Twistor theory offers a new approach, starting with conformallyinvariant concepts, to the synthesis of quantum theory and relativity. Celestial mechanics research  Links, animations, references, and a brief description of research into nbody problems. 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. An Introduction to Noncommutative Geometry  A set of lecture notes on noncommutative geometry and the applications in 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 SegalBargmann space and the canonical commutation relations. Preparation for Gauge Theory  Class lecture notes at a beginning graduate level on the mathematical background needed to understand classical gauge theory. Homological Methods in Mathematical Physics  These lecture notes are a systematic and selfcontained exposition of the cohomological theories naturally related to partial differential equations Symplectic Geometries in Quantum Physics and Optics  A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics Kinetic Theory and its Applications.  This resource is devoted to mathematical aspects of kinetic theory and its applications in physics and chemistry. Physics of Nonequilibrium Systems Laboratory  The subsidiary of the Department of Air Dynamics and Cosmic Research of Moscow Institute of Physics and Technology. The laboratory deals with the different types of nonequilibrium processes and systems. Open problems in mathematics and physics  Links to open problems in mathematics a nd physics Kinetic Theory. Problems and applications.  This resource is devoted to mathematical aspects of kinetic theory and its applications in phisics, chemistry and economics. Visual Mathematical Physics  Collection of animated gif pictures describing the solutions of the main partial differential equations such as Laplace, Poisson, string and membrane oscillations and heat conduction. Radial Symmetric Fourier Transforms  Fourier transforms of radiallysymmetric functions can be performed efficiently using the Hankel transform of order zero. Illustrations of the method are presented, and of the Gibbs' phenomenon. 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. Five Lectures on Soliton Equations  This is a selfcontained review of a new approach to soliton equations of KdV type. Solitons  An overview of the classical and quantum theory related to solitons Recent Developments in Skyrme Models  An introduction to recent, more mathematical developments in the Skyrme model. The aim is to render these advances accessible to mainstream nuclear and particle physicists. The Dirac Delta Function  A brief introduction to the properties and uses of the Dirac delta function. Clyde Davenport's Commutative Hypercomplex Mathematics  Summary and application as it relates to electromagnetic theory and special relativity. Visual Mathematical Physics  Collection of animated gif pictures describing the solutions of the main partial differential equations such as Laplace, Poisson, string and membrane oscillations and heat conduction. QMath8  Mathematical Results in Quantum Mechanics. Taxco, Mexico; 1014 December 2001. Arrangements and Mathematical Physics  NSFCBMS Regional Research Conference. January 15  19, 2002; Louisiana State University, Baton Rouge. Doing Physics with Quaternions  A research effort to see how much of standard physics can be done using only quaternions, a 4dimensional division algebra. mathematicsphysics.com  Developments in mathematical physics, including gauge field theory, theoretical physics and special relativity.

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