GA2015 – Lecture 8

Unification and Implementation In this final lecture we complete the story of how conformal geometric algebra unifies many of the classical geometries, covering Euclidean, spherical, hyperbolic (non-Euclidean), projective and inversive geometries. Rotors are shown to generate rotations, translations and special … Continued

GA2015 – Lecture 7

Conformal Geometric Algebra It is only fairly recently that we realised just how powerful the combination of conformal geometry and geometric algebra¬†could be as a tool for understanding Euclidean geometry. The key ideas were introduced around 2000, and have led … Continued

GA2015 – Lecture 6

Geometric Calculus In this lecture we introduce the core concept of the vector derivative. This is the natural extension of the gradient operator to geometric algebra setting, where it inherits the properties of a¬†grade-1 vector. The separate inner and outer … Continued