Mathematics
Offering equal time to equations
Over the years, this site has accumulated enough pages about mathematical topics to give them their own section. The level of what you'll find here varies from high-school algebra to advanced undergraduate work. I try to approach subjects visually, so expect pictures.
The Cone
The formula for the cone's surface area can be derived with basic algebra. Finding its geodesics was fun.
The Torus
College courses in differential geometry and general relativity got me wondering about the torus's curvature, shape operator, and geodesics, as well as parallel transport on the torus, so I took a look at them. These pages are summaries; full results are available as a PDF.
Visualization
Using color can make the fourth dimension surprisingly concrete.
Plotting triplets offers a way to display three independent variables in a two-dimensional chart.
Humor
For laughs, I expanded a component of a Riemann tensor of a 4-space in terms of the metric tensor.
Last updated 1 May 2006
http://www.rdrop.com/~half/math/index.html
All contents ©2004 Mark L. Irons