differential forms and calculus in Sage
Hi,
I have a sixteen-variable integral which is defined by differential forms, e.g. for a simple example the integrand is dx+1/(xdy). Previously I was trying to compute this complicated integral using Mathematica, but after asking their StackExchange it turns out that Mathematica doesn't have support for differential forms.
I have checked the reference manual and although there is a section on differential forms, there is no section on calculus with differential forms.
To the best of your knowledge, is it possible to solve this kind of equation in Sage?
Regarding calculus with differential forms in SageMath, you may take a look at the sections 1-forms, Differential forms and exterior calculus and Hodge duality of the SageManifolds tutorial.
In your example, do you mean dx + 1/x dy instead of dx + 1/(x dy) ?