Hi all-
I have posted a .pdf version of my appreciation of GA on my
website at http://www.hep.anl.gov/jlu/index.html You will find the title
GA under the pictures. In the posting I have compared a solution of the
Kepler problem using Gibbsian vectors with the solution using "GA" that is
posted in the Cambridge University course.
I suggest that anyone advocating GA - in the context of the
3-dimensional physics that is covered in the first two years of a
university course - do something similar to show that GA is superior to
Gibbs for some application in that context.
A final thought: If the unit vectors i, j, k that many of us have
come to know and love satisfy the relations: ixj=k, jxk=i, kxi=j are
i,j,k vectors or pseudovectors?
Regards,
Jack
--
"What did Barrow's lectures contain? Bourbaki writes with some
scorn that in his book in a hundred pages of the text there are about 180
drawings. (Concerning Bourbaki's books it can be said that in a thousand
pages there is not one drawing, and it is not at all clear which is
worse.)"
V. I. Arnol'd in
Huygens & Barrow, Newton & Hooke