On 12 mei, 01:11, Jason Grout <jason-s...@creativetrax.com> wrote:
> > I was wondering if there is any interest in a Sage package to compute > > with differential forms. > > I am interested. I'm particularly interested in applications to > teaching multivariable calculus. This raises the interesting possibility (which I didn't consider previously) of coercing differential forms (on RR^3, say) into vector- valued functions and showing that d^2 = 0 implies all those identies Div Curl = 0, Curl Grad = 0, etc... > This sort of gives us functions over modules (sort of a function from > SR^2 --> SR^3 in this example). However, Sage doesn't treat f as a > function as much as it treats f as a vector of functions (though you can > still call f, take its derivative, etc.). > I've added the patches to my Sage and I agree that this looks good. In particular, this would be a good starting point to treat vector fields in RR^n and their pairing with differential forms. I'll try to make this more concrete with an example in the next few days. Thanks a lot for your answer, Joris -- To post to this group, send an email to sage-devel@googlegroups.com To unsubscribe from this group, send an email to sage-devel+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-devel URL: http://www.sagemath.org
