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I do recommend that others look at it too. The claims the advocates make
for it are pretty wild, but I haven't found any place yet where they
haven't delivered.
the papers I read seem to explicitly
assume a right-handed coordinate system.
I'm quite interested in exploring this question of introducing Cliffor
Algebra at the earliest (freshman) levels. Most of the papers I'm reading
are trying to convince other physicists to switch to Clifford Algebra so
the examples are junior-undergrad level to grad-school level.
John, how
would you like to write a short piece about how it should be introduced in
first-year calc-based physics
And how about in the math curriculum? I'm teaching Calculus III
(multivariable) this semester and we hit cross products pretty soon; should
I teach it the "right" way instead?