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. arxiv.org/abs/gr-qc/9911051Read more
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. www.physics.orst.edu/~rubin/nacphy/ComPhys/DIFFEQ/mydif2/Read more
Dimensional Analysis A simple review of the powerful technique of dimensional analysis. www.physics.uoguelph.ca/tutorials/dimanaly/Read more
Discrete Self-trapping Equation A bibliography in BibTeX format for those interested in discrete nonlinear Schrödinger type equations. www.ma.hw.ac.uk/~chris/dst/Read more
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. world.std.com/~sweetser/quaternions/qindex/qindex.htmlRead more
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. physicstransforms.tripod.com/Read more
Geometry and Duality Lecture notes from the ITP miniprogram on Geometry and Duality online.itp.ucsb.edu/online/geom/Read more
Holomorphic Methods in Mathematical Physics 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. arxiv.org/abs/quant-ph/9912054Read more
Homological Methods in Mathematical Physics 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. arxiv.org/abs/math.DG/9808130Read more
Hyperreal World Nonstandard analysis and its applications to quantum physics, by H.Yamashita. Mixed English/Japanese. www.sun-inet.or.jp/~leibniz/math/Read more
Intrinsic Localized Modes Dynamics of defect-free periodic lattices in terms of plane wave phonons. Web text by Albert J. Sievers, Cornell. www.lassp.cornell.edu/~sievers/ilm/Read more
Journal on Applied Clifford Algebra Journal devoted to the development of Geometric Analysis in particular through the use of Clifford Algebras, Quaternions, Hypercomplex Analysis and Multivector Techniques. Main emphasis en the applications to Physics. clifford-algebras.orgRead more
Klaus Brauer's Soliton Page Presents a history of J.S.Russell's discovery of solitary waves, and animations of one-, two- and three-soliton solutions to the Korteweg-de Vries equation. Includes an article in PDF format on finding exact solutions to the KdV equation using the method of Backlund transform with the help of Mathematica. www.usf.uni-osnabrueck.de/~kbrauer/solitons.htmlRead more
Local Quantum Physics Crossroads An international forum for information exchange among scientists working on mathematical, conceptual, and constructive problems in local relativistic quantum physics (LQP). www.lqp.uni-goettingen.de/lqp/Read more
Mathematical Methods I 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. w3.physics.uiuc.edu/~m-stone5/mma/mma.htmlRead more
Non Commutative Geometry Preprints of Alejandro Rivero about Connes's NCG and the Standard Model. Also some historical articles on related topics. dftuz.unizar.es/~rivero/research/index.htmlRead more
