GA 2016 – Lecture 9

Unification

In this final set of slides  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 conformal transformations in each of these geometries.

This leads onto a wider discussion of how geometric algebra provides a unifying language for many of the subjects traditionally taught with more specialised approaches.