An Introduction to Noncommutative Geometry «
http://arxiv.org/abs/physics/9709045 | | A set of lecture notes by joseph c. varilly on noncommutative geometry and its applications in physics. |
Clyde Davenport's Commutative Hypercomplex Mathematics «
http://home.usit.net/~cmdaven/cmdaven1.htm | | Summary and application as it relates to electromagnetic theory and special relativity. |
Complex Geometry of Nature and General Relativity «
http://arxiv.org/abs/gr-qc/9911051 | | 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. |
Differential Equations and Oscillations «
http://www.physics.orst.edu/~rubin/nacphy/ComPhys/DIFFEQ/mydif2/ | | 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. |
Dimensional Analysis «
http://www.physics.uoguelph.ca/tutorials/dimanaly/ | | A simple review of the powerful technique of dimensional analysis. |
Discrete Self-trapping Equation «
http://www.ma.hw.ac.uk/~chris/dst/ | | A bibliography in bibtex format for those interested in discrete nonlinear schrödinger type equations. |
Doing Physics with Quaternions «
http://world.std.com/~sweetser/quaternions/qindex/qindex.html | | A research effort to see how much of standard physics can be done using only quaternions , a 4-dimensional division algebra. |
Euclidean Geometric Transforms for Physics «
http://physicstransforms.tripod.com/ | | 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. |
Five Lectures on Soliton Equations «
http://arxiv.org/abs/q-alg/9712005 | | A self-contained review by edward frenkel of a new approach to soliton equations of kdv type. |
Geometry and Duality «
http://online.itp.ucsb.edu/online/geom/ | | Lecture notes from the itp miniprogram on geometry and duality |
Holomorphic Methods in Mathematical Physics «
http://arxiv.org/abs/quant-ph/9912054 | | 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. |
Homological Methods in Mathematical Physics «
http://arxiv.org/abs/math.DG/9808130 | | 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. |
Hyperreal World «
http://www.sun-inet.or.jp/~leibniz/math/ | | Nonstandard analysis and its applications to quantum physics , by h. yamashita. mixed english/japanese. |
Inexplicable Secrets of Creation «
http://www.maths.ex.ac.uk/~mwatkins/isoc/ | | Relationships between number theory and physics. |
Intrinsic Localized Modes «
http://www.lassp.cornell.edu/~sievers/ilm/ | | Dynamics of defect-free periodic lattices in terms of plane wave phonons. web text by albert j. sievers , cornell. |
