As the saying goes, learning proceeds from the
known to the unknown.
So I wrote up a discussion of complex numbers in
one column, compared to Clifford Algebra in the
other column.
I'm imagining a sequence where people learn in
the following sequence:
-- plain old real numbers
-- vectors
-- complex numbers
-- Clifford Algebra.
or perhaps
-- plain old real numbers
-- complex numbers
-- vectors
-- Clifford Algebra.
The point being that most of the ideas in
Clifford Algebra can be seen as non-shocking
generalizations of ideas that are already
known from complex numbers, with a little
bit of vector technology thrown in.