Introduction to Geometric Algebra and Conformal Geometry

Leo Reyes

In this presentation a brief introduction to Geometric Algebra and Conformal Geometry will be given. Geometric Algebra is a mathematical framework invented by William Kingdom Clifford in the nineteenth century as an alternative for vector calculus. In this algebra, all operations from vector calculus can be modeled and readily extended to n-dimensions.

Conformal Geometry is a mathematical system used to model the n-d space in terms of a Stereographic Projection. This mapping is non-linear but it has the advantage that n-d spheres can be represented as linear combinations of points. Hence the operations involving these entities are easier to compute. In this presentation, it will be shown how Conformal Geometry can be modeled inside the Geometric Algebra framework by adding two more dimensions to the n-d space.

Maintained by Philippos Mordohai