A commutative algebra, function theory, and system of analysis is developed for one 4-D variable (not quaternions). It is based upon a commutative group ring and extends all of the properties of the classical complex variables.
http://home.comcast.net/~cmdaven/hyprcplx.htm - New window - Cached - Archive -
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 - New window - Cached - Archive -
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/ - New window - Cached - Archive -
A simple review of the powerful technique of dimensional analysis.
http://www.physics.uoguelph.ca/tutorials/dimanaly/ - New window - Cached - Archive -
A bibliography in BibTeX format for those interested in discrete nonlinear Schrödinger type equations.
http://www.ma.hw.ac.uk/~chris/dst/ - New window - Cached - Archive -
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 - New window - Cached - Archive -
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/ - New window - Cached - Archive -
A self-contained review by Edward Frenkel of a new approach to soliton equations of KdV type.
http://arxiv.org/abs/q-alg/9712005 - New window - Cached - Archive -
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 - New window - Cached - Archive -
