3 ms·
Fair enough. I have seen some comments (not in this thread, it was some time ago) that suggested that DFs allow the same as GA in practice, and everything GA do
by yiyus 6y ago
Fair enough. I have seen some comments (not in this thread, it was some time ago) that suggested that DFs allow the same as GA in practice, and everything GA does is adding an unnecessary geometric product, but exterior products should be enough (not my opinion, I can try to find the original comment if you want). I do not know enough to have an own opinion.
You obviously know more than me about this, so I will ask you a slightly different question: if I learn GA well enough and totally ignore differential forms, what will I miss?
- chobytes 6y agoDifferential forms aren't exactly comparable to GA... I would instead look at the relation between exterior algebra and GA. Differentials are a concept that the comes from doing calculus on manifolds, and exterior products of differentials are just used for tracking information about oriented volumes. To answer your question (switching differentials forms for for exterior algebras), you wont miss anything, as the wedge product is part of a GA.