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Tytuł strony: Commutative Hypercomplex Mathematics
Opis strony: A commutative algebra, function theory, and system of analysis is developed for one 4-D variable (not quaternions). It is based upon a commutative group ring and extends all of the properties of the classical complex variables.
Adres: http://home.comcast.net/~cmdaven/hyprcplx.htm
Tytuł strony: Complex Geometry of Nature and General Relativity
Opis strony: 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.
Adres: http://arxiv.org/abs/gr-qc/9911051
Tytuł strony: Differential Equations and Oscillations
Opis strony: 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.
Adres: http://www.physics.orst.edu/~rubin/nacphy/ComPhys/DIFFEQ/mydif2/
Tytuł strony: Dimensional Analysis
Opis strony: A simple review of the powerful technique of dimensional analysis.
Adres: http://www.physics.uoguelph.ca/tutorials/dimanaly/
Tytuł strony: Discrete Self-trapping Equation
Opis strony: A bibliography in BibTeX format for those interested in discrete nonlinear Schrödinger type equations.
Adres: http://www.ma.hw.ac.uk/~chris/dst/
Tytuł strony: Doing Physics with Quaternions
Opis strony: A research effort to see how much of standard physics can be done using only quaternions, a 4-dimensional division algebra.
Adres: http://world.std.com/~sweetser/quaternions/qindex/qindex.html
Tytuł strony: Euclidean Geometric Transforms for Physics
Opis strony: 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.
Adres: http://physicstransforms.tripod.com/
Tytuł strony: Five Lectures on Soliton Equations
Opis strony: A self-contained review by Edward Frenkel of a new approach to soliton equations of KdV type.
Adres: http://arxiv.org/abs/q-alg/9712005
Tytuł strony: Geometry and Duality
Opis strony: Lecture notes from the ITP miniprogram on Geometry and Duality
Adres: http://online.itp.ucsb.edu/online/geom/
Tytuł strony: Holomorphic Methods in Mathematical Physics
Opis strony: 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.
Adres: http://arxiv.org/abs/quant-ph/9912054
Tytuł strony: Homological Methods in Mathematical Physics
Opis strony: 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.
Adres: http://arxiv.org/abs/math.DG/9808130
Tytuł strony: Hyperreal World
Opis strony: Nonstandard analysis and its applications to quantum physics, by H.Yamashita. Mixed English/Japanese.
Adres: http://www.sun-inet.or.jp/~leibniz/math/
Tytuł strony: Inexplicable Secrets of Creation
Opis strony: Relationships between number theory and physics.
Adres: http://www.secamlocal.ex.ac.uk/~mwatkins/isoc/
Tytuł strony: Intrinsic Localized Modes
Opis strony: Dynamics of defect-free periodic lattices in terms of plane wave phonons. Web text by Albert J. Sievers, Cornell.
Adres: http://www.lassp.cornell.edu/~sievers/ilm/
Tytuł strony: An Introduction to Noncommutative Geometry
Opis strony: A set of lecture notes by Joseph C. Varilly on noncommutative geometry and its applications in physics.
Adres: http://arxiv.org/abs/physics/9709045
Tytuł strony: Journal on Applied Clifford Algebra
Opis strony: 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.
Adres: http://clifford-algebras.org
Tytuł strony: Klaus Brauer's Soliton Page
Opis strony: 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.
Adres: http://www.usf.uni-osnabrueck.de/~kbrauer/solitons.html
Tytuł strony: Lectures on Orientifolds and Duality
Opis strony: Notes by Atish Dabholkar on orientifolds emphasizing applications to duality.
Adres: http://arxiv.org/abs/hep-th/9804208
Tytuł strony: Local Quantum Physics Crossroads
Opis strony: An international forum for information exchange among scientists working on mathematical, conceptual, and constructive problems in local relativistic quantum physics (LQP).
Adres: http://www.lqp.uni-goettingen.de/lqp/
Tytuł strony: Mathematical Methods I
Opis strony: 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.
Adres: http://w3.physics.uiuc.edu/~m-stone5/mma/mma.html
Tytuł strony: Non Commutative Geometry
Opis strony: Preprints of Alejandro Rivero about Connes's NCG and the Standard Model. Also some historical articles on related topics.
Adres: http://dftuz.unizar.es/~rivero/research/index.html
Tytuł strony: On the Origins of Twister Theory
Opis strony: A new approach pioneered by Roger Penrose, starting with conformally-invariant concepts, to the synthesis of quantum theory and relativity.
Adres: http://users.ox.ac.uk/~tweb/00001/
Tytuł strony: Open Problems in Mathematics and Physics
Opis strony: Links to open problems in mathematics, physics and other subjects.
Adres: http://www.geocities.com/ednitou/
Tytuł strony: Period and energy in one degree of freedom systems
Opis strony: An article by Jorge Rezende, University of Lisbon. [PDF]
Adres: http://gfm.cii.fc.ul.pt/people/jrezende/jr_periodenergy1.pdf
Tytuł strony: Recent Developments in Skyrme Models
Opis strony: 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.
Adres: http://arxiv.org/abs/hep-th/9812148
Tytuł strony: Solitons
Opis strony: An overview of the classical and quantum theory related to solitons
Adres: http://physics1.usc.edu/~vongehr/solitons_html/solitons.html
Tytuł strony: Solitons
Opis strony: Resources at Heriot-Watt University. Meetings, local and other links.
Adres: http://www.ma.hw.ac.uk/solitons/
Tytuł strony: Symplectic Geometries in Quantum Physics and Optics
Opis strony: A comparison of symplectic geometry with Euclidean or unitary geometries in quantum physics and optics
Adres: http://arxiv.org/abs/quant-ph/9509002
Tytuł strony: This Week's Finds in Mathematical Physics
Opis strony: This is a column written about modern topics in mathematical physics.
Adres: http://math.ucr.edu/home/baez/TWF.html
Tytuł strony: Topology and Physics
Opis strony: An essay by C. Nash on the historical connection between topology and physics.
Adres: http://arxiv.org/abs/hep-th/9709135
Tytuł strony: Twistors- What are they?
Opis strony: A set of notes introducing spinors and twistors.
Adres: http://www.compsoc.net/~fedja/twistors/twistors.html
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