- An Introduction to Noncommutative Geometry
A set of lecture notes by Joseph C. Varilly on noncommutative geometry and its applications in physics.
http://arxiv.org/abs/physics/9709045
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
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- Celestial Mechanics Research
Links, animations, references, and a brief description of research into n-body problems.
http://www.math.washington.edu/~hampton/research.html
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
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- Clyde Davenport's Commutative Hypercomplex Mathematics
Summary and application as it relates to electromagnetic theory and special relativity.
http://home.usit.net/~cmdaven/cmdaven1.htm
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
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- 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.
http://arxiv.org/abs/gr-qc/9911051
(Added: Fri Mar 31 2006 Rating: 0.00 Votes: 0)
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- 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.
http://www.physics.orst.edu/~rubin/nacphy/ComPhys/DIFFEQ/mydif2/
(Added: Sat Apr 01 2006 Rating: 0.00 Votes: 0)
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- Dimensional Analysis
A simple review of the powerful technique of dimensional analysis.
http://www.physics.uoguelph.ca/tutorials/dimanaly/
(Added: Wed Apr 05 2006 Rating: 0.00 Votes: 0)
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- Discrete Self-trapping Equation
A bibliography in BibTeX format for those interested in discrete nonlinear Schrödinger type equations.
http://www.ma.hw.ac.uk/~chris/dst/
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
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- 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.
http://world.std.com/~sweetser/quaternions/qindex/qindex.html
(Added: Wed Apr 05 2006 Rating: 0.00 Votes: 0)
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- 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.
http://physicstransforms.tripod.com/
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
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- Five Lectures on Soliton Equations
A self-contained review by Edward Frenkel of a new approach to soliton equations of KdV type.
http://arxiv.org/abs/q-alg/9712005
(Added: Wed Apr 05 2006 Rating: 0.00 Votes: 0)
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- Geometry and Duality
Lecture notes from the ITP miniprogram on Geometry and Duality
http://online.itp.ucsb.edu/online/geom/
(Added: Wed Apr 05 2006 Rating: 0.00 Votes: 0)
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- 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.
http://arxiv.org/abs/quant-ph/9912054
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
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- 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.
http://arxiv.org/abs/math.DG/9808130
(Added: Thu Mar 30 2006 Rating: 0.00 Votes: 0)
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- Hyperreal World
Nonstandard analysis and its applications to quantum physics, by H.Yamashita. Mixed English/Japanese.
http://www.sun-inet.or.jp/~leibniz/math/
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
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- Inexplicable Secrets of Creation
Zeta function site by Matthew Watkins.
http://www.maths.ex.ac.uk/~mwatkins/isoc/
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
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- Intrinsic Localized Modes
Dynamics of defect-free periodic lattices in terms of plane wave phonons. Web text by Albert J. Sievers, Cornell.
http://www.lassp.cornell.edu/~sievers/ilm/
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
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- Journal on Applied Clifford Algebra
Journal devoted to the development of Geometric Analysis in particular through the use of Clifford Algebras, Quaternions, Hypercomplex Analysis and Multivector Techniques. Main emphasis en the applications to Physics.
http://clifford-algebras.org
(Added: Wed Apr 05 2006 Rating: 0.00 Votes: 0)
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- Kinetic Theory and its Applications.
This resource is devoted to mathematical aspects of kinetic theory and its applications in physics and chemistry.
http://kinetic.boom.ru
(Added: Thu Mar 30 2006 Rating: 0.00 Votes: 0)
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- Klaus Brauer's Soliton Page
Presents a history of J.S.Russell's discovery of solitary waves, and animations of one-, two- and three-soliton solutions to the Korteweg-de Vries equation. Includes an article in PDF format on finding exact solutions to the KdV equation using the method of Backlund transform with the help of Mathematica.
http://www.usf.uni-osnabrueck.de/~kbrauer/solitons.html
(Added: Wed Apr 05 2006 Rating: 0.00 Votes: 0)
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- Lectures on Orientifolds and Duality
Notes by Atish Dabholkar on orientifolds emphasizing applications to duality.
http://arxiv.org/abs/hep-th/9804208
(Added: Wed Apr 05 2006 Rating: 0.00 Votes: 0)
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- 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).
http://www.lqp.uni-goettingen.de/lqp/
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
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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.
http://w3.physics.uiuc.edu/~m-stone5/mma/mma.html
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
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- Non Commutative Geometry
Preprints of Alejandro Rivero about Connes's NCG and the Standard Model. Also some historical articles on related topics.
http://dftuz.unizar.es/~rivero/research/index.html
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
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- 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.
http://users.ox.ac.uk/~tweb/00001/
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
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- Open Problems in Mathematics and Physics
Links to open problems in mathematics, physics and other subjects.
http://www.geocities.com/ednitou/
(Added: Thu Apr 06 2006 Rating: 0.00 Votes: 0)
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