Re:Poor Foundations in Geometric Algebra
by elengyel on Tuesday August 27, 2024 @07:41PM
(#41374480)
I think Macdonald's book is very concise and clean compared to others, but it does have some of the same issues that I wrote about in my post. In particular, Definition 6.15 gives one of the problematic definitions of the inner product, and Definition 6.23 gives the same broken definition of dual that has an inconsistent orientation and fails to extend to the degenerate metrics of projective algebras. Has also says, at the bottom of page 111, that the Hodge dual can't be defined directly in the exterior algebra, which is not correct.
[ Parent
| on HN ]
Re:Poor Foundations in Geometric Algebra
by auggierose on Wednesday August 28, 2024 @06:35AM
(#41378042)
Thank you for this analysis, will check it out!