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Sites which focus application of advanced mathematical topics in physical systems.
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Dimensional Analysis - A simple review of the powerful technique of dimensional analysis. This Week's Finds in Mathematical Physics - This is a column written about modern topics in mathematical physics. Holomorphic Methods in Mathematical Physics - This set of lecture notes by Brian C. Hall 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. Lectures on Orientifolds and Duality - Notes by Atish Dabholkar on orientifolds emphasizing applications to duality. Homological Methods in Mathematical Physics - These lecture notes by Joseph Krasil'shchik and Alexander Verbovetsky are a systematic and self-contained exposition of the cohomological theories naturally related to partial differential equations. Recent Developments in Skyrme Models - An introduction by T. Gisiger and M.B. Paranjape to recent, more mathematical developments in the Skyrme model. The aim is to render these advances accessible to mainstream nuclear and particle physicists. An Introduction to Noncommutative Geometry - A set of lecture notes by Joseph C. Varilly on noncommutative geometry and its applications in physics. Euclidean Geometric Transforms for Physics - A new method of correlating physics formulas to derive one formula from a related formula using Euclidean geometry to represent the inter-relationship of physics formulas. Symplectic Geometries in Quantum Physics and Optics - A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics Topology and Physics - An essay by C. Nash on the historical connection between topology and physics. Five Lectures on Soliton Equations - A self-contained review by Edward Frenkel of a new approach to soliton equations of KdV type. Complex Geometry of Nature and General Relativity - A paper by Giampiero Esposito attempting to give a self-contained introduction to holomorphic ideas in general relativity. The main topics are complex manifolds, spinor and twistor methods, heaven spaces. Local Quantum Physics Crossroads - An international forum for information exchange among scientists working on mathematical, conceptual, and constructive problems in local relativistic quantum physics (LQP). Solitons - Resources at Heriot-Watt University. Meetings, local and other links. Doing Physics with Quaternions - A research effort to see how much of standard physics can be done using only quaternions, a 4-dimensional division algebra. Geometry and Duality - Lecture notes from the ITP miniprogram on Geometry and Duality 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. On the Origins of Twister Theory - A new approach pioneered by Roger Penrose, starting with conformally-invariant concepts, to the synthesis of quantum theory and relativity. Inexplicable Secrets of Creation - Relationships between number theory and physics. Period and Energy in One Degree of Freedom Systems - An article by Jorge Rezende, University of Lisbon. On Mathematics, Mathematical Physics, Truth and Reality - How mathematics exists in the universe and is related to physical reality. (UK) North British Mathematical Physics Seminar - Four seminars are held in rotation every year. Open Problems in Mathematics and Physics - Links to open problems in mathematics, physics and other subjects. Mathematical Physics - Numerical codes are provided for a variety of problems. From the University of Puerto Rico at Humacao.
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