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Sites which focus application of advanced mathematical topics in physical systems.

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Publications (28) Statistical Mechanics (25) Topological Quantum Field Theory@ (12)

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Mathematical Methods I This site contains the complete lecture notes and homework sets for PHYCS498MMA, a course of mathematical methods for physics given to entering graduate students, and senior undergraduates, at the University of Illinois at Urbana-Champaign. w3.physics.uiuc.edu/~m-stone5/mma/mma.html

Celestial Mechanics Research Links, animations, references, and a brief description of research into n-body problems. www.math.washington.edu/~hampton/research.html

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. www.isir.minsk.by/eng/educ/mathphys

Twistors- What are they? A set of notes introducing spinors and twistors. www.compsoc.net/~fedja/twistors/twistors.html

Dimensional Analysis A simple review of the powerful technique of dimensional analysis. www.physics.uoguelph.ca/tutorials/dimanaly

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. arxiv.org/abs/hep-th/9812148

Open Problems in Mathematics and Physics Links to open problems in mathematics, physics and other subjects. www.geocities.com/ednitou

The Dirac Delta Function A brief introduction to the properties and uses of the Dirac delta function. www.sci.hkbu.edu.hk/../../../..

Hyperreal World Nonstandard analysis and its applications to quantum physics, by H.Yamashita. Mixed English/Japanese. www.sun-inet.or.jp/~leibniz/math

Discrete Self-trapping Equation A bibliography in BibTeX format for those interested in discrete nonlinear Schrödinger type equations. www.ma.hw.ac.uk/~chris/dst

Elastic Strain Soliton Visualization Windows demonstration program download. www.csa.ru/Inst/bogd_dep/nonlin/vizual.htm

This Week's Finds in Mathematical Physics This is a column written about modern topics in mathematical physics. math.ucr.edu/home/baez/TWF.html

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. arxiv.org/abs/quant-ph/9912054

Lectures on Orientifolds and Duality Notes by Atish Dabholkar on orientifolds emphasizing applications to duality. arxiv.org/abs/hep-th/9804208

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. arxiv.org/abs/math.DG/9808130

An Introduction to Noncommutative Geometry A set of lecture notes by Joseph C. Varilly on noncommutative geometry and its applications in physics. arxiv.org/abs/physics/9709045

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. physicstransforms.tripod.com

Kinetic Theory and its Applications. This resource is devoted to mathematical aspects of kinetic theory and its applications in physics and chemistry. kinetic.boom.ru

Non Commutative Geometry Preprints of Alejandro Rivero about Connes's NCG and the Standard Model. Also some historical articles on related topics. dftuz.unizar.es/~rivero/research/index.html

Symplectic Geometries in Quantum Physics and Optics A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics arxiv.org/abs/quant-ph/9509002

Topology and Physics An essay by C. Nash on the historical connection between topology and physics. arxiv.org/abs/hep-th/9709135

Period and energy in one degree of freedom systems An article by Jorge Rezende, University of Lisbon (PDF). gfm.cii.fc.ul.pt/Members/jr_periodenergy1.pdf

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. cadcwww.dao.nrc.ca/../../../papers/birkinshawm/birkinshawm.html

Five Lectures on Soliton Equations A self-contained review by Edward Frenkel of a new approach to soliton equations of KdV type. arxiv.org/abs/q-alg/9712005

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. arxiv.org/abs/gr-qc/9911051

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