Re: another way of corrupting the youth

[Larry Smith <larry.smith@SNOW.EDU>]

At 6:07 PM -0400 9/7/02, John S. Denker wrote:
> 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.
>
>
> 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.
>
> http://www.monmouth.com/~jsd/physics/complex-clifford.htm


I hate to be a pest and keep requesting the same thing over and over, but I
prefer LaTeX, .dvi, or .pdf (or .ps as a last resort) file formats so I can
read these at my leisure and see the math in its glory.  I really am
interested.

Thanks in advance,
Larry


P.S. I'd also like to see a sample/draft of a complete rewriting using GA
of the couple of sections on vectors in the prototypical freshman/sophomore
calculus book.  For example, in _Calculus_  8e by Varberg, Purcell, and
Rigdon which I'm teaching out of right now there are sections
13.2 Vectors in the Plane: Geometric Approach
13.3 Vectors in the Plane: Algebraic Approach
14.2 Vectors in Three-Space
14.3 The Cross Product
etc.
I'd love to see someone attempt a GA approach as a replacement for those
sections, complete with worked out examples.  This would be for
3rd-semester calculus students, not for physics grad students.

P.P.S. I find the best intro so far is at
http://www.mrao.cam.ac.uk/~clifford/ptIIIcourse/course99/ handout #1.