The Wotch Directory

Science > Physics > Mathematical Physics

	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
	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
	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
	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/
	Dimensional Analysis A simple review of the powerful technique of dimensional analysis. http://www.physics.uoguelph.ca/tutorials/dimanaly/
	Discrete Self-trapping Equation A bibliography in BibTeX format for those interested in discrete nonlinear SchrAÂdinger type equations. http://www.ma.hw.ac.uk/~chris/dst/
	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
	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/
	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