Re:What is the inverse of a vector?
by jacobolus on Wednesday November 03, 2021 @02:32PM
(#29098578)
> for someone studying vector calculus properly
If you can’t invert vectors, you aren’t studying vector calculus properly. ;-)
Differential forms are a half-baked formalism.
Unfortunately I don’t know of any great undergraduate level geometric calculus textbooks. Ideally there would be something like Hubbard & Hubbard’s book (http://matrixeditions.com/5thUnifiedApproach.html) written using GA as a formalism.
If you can’t invert vectors, you aren’t studying vector calculus properly. ;-)
Differential forms are a half-baked formalism.
Unfortunately I don’t know of any great undergraduate level geometric calculus textbooks. Ideally there would be something like Hubbard & Hubbard’s book (http://matrixeditions.com/5thUnifiedApproach.html) written using GA as a formalism.
Hestenes & Sobczyk’s book (http://geocalc.clas.asu.edu/html/CA_to_GC.html) is a hard slog, and not appropriate for an undergraduate audience.