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...
http://arxiv.org/abs/gr-qc/9911051
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 lin...
http://www.physics.orst.edu/~rubin/nacphy/ComPhys/DIFFEQ/mydif2/
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
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/
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...
http://arxiv.org/abs/quant-ph/9912054
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 diff...
http://arxiv.org/abs/math.DG/9808130
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