Twistors- What are they? - A set of notes introducing spinors and twistors.Dimensional Analysis - A simple review of the powerful technique of dimensional analysis.
Burger's Equation - An applet demonstrating Burger's equation in one dimension.
Burger's Equation - An overview of the simplest differential equation which allows for shocks and other discontinuities.
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.
Twistor Theory Website - Twistor theory offers a new approach, starting with conformally-invariant concepts, to the synthesis of quantum theory and relativity.
Celestial mechanics research - Links, animations, references, and a brief description of research into n-body problems.
This Week's Finds in Mathematical Physics - This is a column written about modern topics in mathematical physics.
Topology and Physics - An essay on the historical connection between topology and physics.
An Introduction to Noncommutative Geometry - A set of lecture notes on noncommutative geometry and the applications in physics.
Holomorphic Methods in Mathematical Physics - This set of lecture notes 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.
Preparation for Gauge Theory - Class lecture notes at a beginning graduate level on the mathematical background needed to understand classical gauge theory.
Homological Methods in Mathematical Physics - These lecture notes are a systematic and self-contained exposition of the cohomological theories naturally related to partial differential equations
Symplectic Geometries in Quantum Physics and Optics - A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics
Kinetic Theory and its Applications. - This resource is devoted to mathematical aspects of kinetic theory and its applications in physics and chemistry.
Physics of Nonequilibrium Systems Laboratory - The subsidiary of the Department of Air Dynamics and Cosmic Research of Moscow Institute of Physics and Technology. The laboratory deals with the different types of nonequilibrium processes and systems.
Open problems in mathematics and physics - Links to open problems in mathematics a nd physics
Kinetic Theory. Problems and applications. - This resource is devoted to mathematical aspects of kinetic theory and its applications in phisics, chemistry and economics.
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.
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.
Geometric Algebra and it Applications in Mathematical Physics - A thesis (downloadable in postscript format) on applications of geometric algebra and Clifford algebras in mathematical physics.
Five Lectures on Soliton Equations - This is a self-contained review of a new approach to soliton equations of KdV type.
Solitons - An overview of the classical and quantum theory related to solitons
Recent Developments in Skyrme Models - An introduction to recent, more mathematical developments in the Skyrme model. The aim is to render these advances accessible to mainstream nuclear and particle physicists.
The Dirac Delta Function - A brief introduction to the properties and uses of the Dirac delta function.
Clyde Davenport's Commutative Hypercomplex Mathematics - Summary and application as it relates to electromagnetic theory and special relativity.
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.
QMath-8 - Mathematical Results in Quantum Mechanics. Taxco, Mexico; 10--14 December 2001.
Arrangements and Mathematical Physics - NSF-CBMS Regional Research Conference. January 15 - 19, 2002; Louisiana State University, Baton Rouge.
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.
mathematics-physics.com - Developments in mathematical physics, including gauge field theory, theoretical physics and special relativity.