MIT Independent Activities Period Lectures

Geometric algebra is most simply defined as a natural extension of the vector algebra of Gibbs & Heaviside to metric vector spaces of arbitrary dimension and signature. It's advantage over matrix/tensor algebra is that every calculation has an immediate geometric interpretation, which enables one to use the brains visualization abilities to find the simplest route to any desired result (parallel processing!). These lecture notes introduce the subject, it's history, and some of its many, Many, MANY physical applications.

Disclaimer: The images used in these lectures have been downloaded from various places on the web, and used without attribution. Anyone who feels their property rights have thereby been infringed upon need only e-mail me, and the problem will be promptly rectified.

NB: The lists of slides below are the lecture notes from IAP-2000 "A Space-Time Odyssey"; the lecture notes from IAP-2001 "Parallel Processing for the Mind" are in the PDF files that may be downloaded by clicking on the "LECTURE" tages.

(((This year's notes are HERE)))