Geometric Algebra (GA) is a powerful mathematical language for
expressing physical ideas. It unifies many diverse mathematical
formalisms and aids physical intuition. In our various publications
and lecturesyou will find many examples of the insights that geometric
algebra brings to problems in physics and engineering.
The links on the right are to our main educational resources. The
Numbers are not Real" provides a brief, but readable introduction
to geometric algebra. The most complete introduction to the subject
is contained in the book "Geometric
Algebra for Physicists" (CUP 2003). There are also links
to the Part III Lecture Course on geometric algebra, given to final
year physics undergraduates in Cambridge University. Two versions
are provided - the first year's course, and the current (simplified)
The publications page illustrates
our group's research interests. These include applications of geometric
algebra to classical mechanics, classical and quantum electrodynamics,
gravitation, Dirac theory, multiparticle quantum mechanics and quantum
information, spinors and twistors, computer graphics and computational
geometry, robotics, and other applications in engineering.
Algebra for Physicists (CUP 2003)
A complete lecture course
in geometric algebra.
Material for a final year course for
unified mathematical language for physics and engineering in the
are not Real.