An Introduction to Noncommutative Geometry
A set of lecture notes by Joseph C. Varilly on noncommutative geometry and its applications in physics.
arxiv.org
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Celestial Mechanics Research
Links, animations, references, and a brief description of research into n-body problems.
www.math.washington.edu
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Clyde Davenport's Commutative Hypercomplex Mathematics
Summary and application as it relates to electromagnetic theory and special relativity.
home.usit.net
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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
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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
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Dimensional Analysis
A simple review of the powerful technique of dimensional analysis.
www.physics.uoguelph.ca
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Discrete Self-trapping Equation
A bibliography in BibTeX format for those interested in discrete nonlinear Schrödinger type equations.
www.ma.hw.ac.uk
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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
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Elastic Strain Soliton Visualization
Windows demonstration program download.
www.csa.ru
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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
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