Re: Clifford Numbers in Mathcad

Wow. I never thought Wikipedia had an article like "Exterior Algebra".
Gene's reference to it is *much* more useful than any I have found
through sci.physics.research. The Wikipedia article is highly
hyperlinked and will *really* help me study this algebra. Kudos to
Gene!

Gene Ward Smith wrote:
Doug Goncz wrote:

I do know | 3x + 4y + 12z | = 13, but I haven't learned how to do even
simple Clifford operations like 1x * 1y = 1xy in my head with clarity.
I think I got that one right but I don't see it. I need a Clifford
Arithmetic Primer! Not a text, I have access to those, I am talking
about doing simple operations on paper.

You might try starting with this:

http://en.wikipedia.org/wiki/Exterior_algebra

Note that what you are calling "Clifford numbers" is usually called the
exterior algebra or Grassmann algebra, whereas mathematicians mean
something a little more complicated by
Clifford algebra. Why the geometric algebra people seem bent on
renaming things I don't know.

"I am the Cult Of,
I am the Cult Of,
Per ! Son ! Al ! I ! Ty !" (a song I like; who performs it?)

Maybe it's a Hestenesian cult buried in acadmeia, with a secret
handshake, membership rites, and hazing, too. ;)

I have read that whoever comes up with an idea in math or physics is
likely not to be remembered in the history of science as the
originator; that usually someone else's extension of the original makes
the splash, or that the historians just don't get the derviations
because after all they are historians, not mathemeticians or
physicists...
Doug

.

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