Introduction to Geometric Algebra

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 paper "Imaginary 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) course.

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.


Geometric Algebra for Physicists (CUP 2003)

Lecture Courses

A complete lecture course in geometric algebra.

Material for a final year course for physics undergraduates.

Introductory Papers

A unified mathematical language for physics and engineering in the 21st century

Imaginary Numbers are not Real.

Maintained by Chris Doran