This is a column written about modern topics in mathematical physics.
A set of notes introducing spinors and twistors.
A simple review of the powerful technique of dimensional analysis.
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.
Nonstandard analysis and its applications to quantum physics, by H.Yamashita. Mixed English/Japanese.
A bibliography in BibTeX format for those interested in discrete nonlinear Schrödinger type equations.
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.
Notes by Atish Dabholkar on orientifolds emphasizing applications to duality.
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 differential equations.
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.
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