| An Introduction to Noncommutative Geometry: A set of lecture notes by Joseph C. Varilly on noncommutative geometry and its applications in physics. | |
| Celestial Mechanics Research: Links, animations, references, and a brief description of research into n-body problems. | |
| Clyde Davenport's Commutative Hypercomplex Mathematics: Summary and application as it relates to electromagnetic theory and special relativity. | |
| 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. | |
| Dimensional Analysis: A simple review of the powerful technique of dimensional analysis. | |
| Discrete Self-trapping Equation: A bibliography in BibTeX format for those interested in discrete nonlinear Schrödinger type 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. | |
| Five Lectures on Soliton Equations: A self-contained review by Edward Frenkel of a new approach to soliton equations of KdV type. | |
| Geometry and Duality: Lecture notes from the ITP miniprogram on Geometry and Duality | |
| 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. | |
| Inexplicable Secrets of Creation: Relationships between number theory and physics. | |
| 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. | |
| Kinetic Theory and its Applications.: This resource is devoted to mathematical aspects of kinetic theory and its applications in physics and chemistry. | |
| 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. | |
| Lectures on Orientifolds and Duality: Notes by Atish Dabholkar on orientifolds emphasizing applications to duality. | |
| 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). | |
| 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. | |
| Non Commutative Geometry: Preprints of Alejandro Rivero about Connes's NCG and the Standard Model. Also some historical articles on related topics. | |
| On the Origins of Twister Theory: A new approach pioneered by Roger Penrose, starting with conformally-invariant concepts, to the synthesis of quantum theory and relativity. | |
| Open Problems in Mathematics and Physics: Links to open problems in mathematics, physics and other subjects. | |
| Period and energy in one degree of freedom systems: An article by Jorge Rezende, University of Lisbon (PDF). | |
| Radial Symmetric Fourier Transforms: Fourier transforms of radially-symmetric functions can be performed efficiently using the Hankel transform of order zero. Illustrations of the method are presented, and of the Gibbs' phenomenon. | |
| Recent Developments in Skyrme Models: 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. | |
| Solitons: An overview of the classical and quantum theory related to solitons | |
| Solitons: Resources at Heriot-Watt University. Meetings, local and other links. | |
| Symplectic Geometries in Quantum Physics and Optics: A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics | |
| The Dirac Delta Function: A brief introduction to the properties and uses of the Dirac delta function. | |
| This Week's Finds in Mathematical Physics: This is a column written about modern topics in mathematical physics. | |
| Topology and Physics: An essay by C. Nash on the historical connection between topology and physics. | |
| Twistors- What are they?: A set of notes introducing spinors and twistors. | |
| Visual Mathematical Physics: Collection of animated gif pictures describing the solutions of the main partial differential equations such as Laplace, Poisson, string and membrane oscillations and heat conduction. |
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