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

Complex Geometry of Nature and General Relativity Save
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   

Differential Equations and Oscillations Save
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/na...   

Dimensional Analysis Save
A simple review of the powerful technique of dimensional analysis.
http://www.physics.uoguelph.ca/tutori...   

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

Doing Physics with Quaternions Save
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/quater...   

Euclidean Geometric Transforms for Physics Save
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/   

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

Geometry and Duality Save
Lecture notes from the ITP miniprogram on Geometry and Duality
http://online.itp.ucsb.edu/online/geom/   

Holomorphic Methods in Mathematical Physics Save
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   

Homological Methods in Mathematical Physics Save
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   

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

Inexplicable Secrets of Creation Save
Relationships between number theory and physics.
http://www.maths.ex.ac.uk/~mwatkins/i...   

Intrinsic Localized Modes Save
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...   

Journal on Applied Clifford Algebra Save
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   

Klaus Brauer's Soliton Page Save
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/~kbr...   

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

Local Quantum Physics Crossroads Save
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/   

Mathematical Methods I Save
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/...   

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

On the Origins of Twister Theory Save
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/   

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

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

Radial Symmetric Fourier Transforms Save
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.
http://cadcwww.dao.nrc.ca/ADASS/adass...   

Recent Developments in Skyrme Models Save
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.
http://arxiv.org/abs/hep-th/9812148   

Solitons Save
An overview of the classical and quantum theory related to solitons
http://physics1.usc.edu/~vongehr/soli...   

Solitons Save
Resources at Heriot-Watt University. Meetings, local and other links.
http://www.ma.hw.ac.uk/solitons/   

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

The Dirac Delta Function Save
A brief introduction to the properties and uses of the Dirac delta function.
http://www.sci.hkbu.edu.hk/msc/full/b...   

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

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

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

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