Reasonable introduction, a refreshing read from the purely abstract treatments. What’s missing is a definition (even informal) of the plus sign in step 2.2. The definition given for the geometric product is purely syntactic. There’s an obvious mapping between R^4 -> G caused by the morphisms between G and vector spaces (because G forms an algebra), but this is not explained.
Reasonable introduction, a refreshing read from the purely abstract treatments. What’s missing is a definition (even informal) of the plus sign in step 2.2. The definition given for the geometric product is purely syntactic. There’s an obvious mapping between R^4 -> G caused by the morphisms between G and vector spaces (because G forms an algebra), but this is not explained.