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Re: another way of corrupting the youth



Just a modification. You do not need complex numbers at first.
You can follow:
plain old real numbers
vectors
Geometric Algebra in two dimensions
complex numbers
Geometric Algebra in several dimensions.

Arnulfo Castellanos-Moreno


----- Original Message -----
From: "John S. Denker" <jsd@MONMOUTH.COM>
To: <PHYS-L@lists.nau.edu>
Sent: Saturday, September 07, 2002 3:07 PM
Subject: another way of corrupting the youth


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.

http://www.monmouth.com/~jsd/physics/complex-clifford.htm