If you are interested in learning more about geometric algebra, there are some interactive tutorials at http://www.science.uva.nl/ga/tutorials/ which are worth checking out.
The tutorial adapted from a talk on GA at GDC2003 is excellent! The GA Viewer software that it uses is a nice piece of work too.
by : Created on March 27, 2004 : Last modified Feb. 8, 2005 : (permalink)
My latest Amazon.com shipment included what is shaping up to be my favourite book in the area of mathematical physics: Doran and Lasenby's "Geometric Algebra for Physicists".
The elegance of geometric algebra is clearly evident in that fact that Maxwell's equations become a single equation in this algebra. I recall my delight when I discovered that a tensor treatment of Maxwell's equations resulted in two equations instead of four. This takes that to the next level.
It got me thinking that it would be fun to put together a document that took the reader on a tour of vector calculus, tensors and geometric algebra, in each case using Maxwell's equations as the common thread.
by : Created on March 27, 2004 : Last modified Feb. 8, 2005 : (permalink)