The problem for me is that, as a computer scientist, I'm focused on the numerical representation of things. Geometric algebra is presented by omitting that until the last second and instead focusing on abstract concepts and how they fit together. For example, they say "A vector is an oriented scalar value" and that already confuses me. Obviously I know what a scalar is, a scalar is one number, but what is "oriented"? Is it N numbers for the e0,...,en-1 axes? Is it N^2 numbers forming a rotation matrix? Is it just N numbers for the vector and we only call it "oriented"?
I would like to see geometric algebra explained from the bottom-up - starting from the numerical representation of the objects they talk about and explaining how it gives rise to the properties they're looking for.
I would like to see geometric algebra explained from the bottom-up - starting from the numerical representation of the objects they talk about and explaining how it gives rise to the properties they're looking for.