Geometric Algebra

“A unified mathematical language for the whole of physics.” - David Hestenes

“The most powerful and general language available for the development of mathematical physics.” - Stephen Gull, Anthony Lasenby, and Chris Doran

There is a Julia package called Grassmann.jl for doing computational geometric algebra.

The example of writing Maxwell’s equations in terms of geometric algebra \[ \nabla F = J \] makes me wonder if this is a better way to solve Maxwell’s equations numerically. I found one thesis on this topic already.