| 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. |
| 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. |
| 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. |
| 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. |
| 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. |
| 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. |
| Hyperreal World | | Nonstandard analysis and its applications to quantum physics, by H.Yamashita. Mixed English/Japanese. |
| Intrinsic Localized Modes | | Dynamics of defect-free periodic lattices in terms of plane wave phonons. Web text by Albert J. Sievers, Cornell. |
| 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. |
| 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. |
| 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). |
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