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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.


Non Commutative Geometry
Preprints of Alejandro Rivero about Connes's NCG and the Standard Model. Also some historical articles on related topics.


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.


Open Problems in Mathematics and Physics
Links to open problems in mathematics, physics and other subjects.


Period and energy in one degree of freedom systems
An article by Jorge Rezende, University of Lisbon (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.


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.


Solitons
An overview of the classical and quantum theory related to solitons


Solitons
Resources at Heriot-Watt University. Meetings, local and other links.


Symplectic Geometries in Quantum Physics and Optics
A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics


The Dirac Delta Function
A brief introduction to the properties and uses of the Dirac delta function.


This Week's Finds in Mathematical Physics
This is a column written about modern topics in mathematical physics.


Topology and Physics
An essay by C. Nash on the historical connection between topology and physics.


Twistors- What are they?
A set of notes introducing spinors and twistors.


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.



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