differential forms and calculus in Sage

asked 2025-09-17 04:00:47 +0200

Corselet gravatar image

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?

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Comments

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.

eric_g gravatar imageeric_g ( 2025-09-21 16:00:45 +0200 )edit
1

In your example, do you mean dx + 1/x dy instead of dx + 1/(x dy) ?

eric_g gravatar imageeric_g ( 2025-09-21 16:02:45 +0200 )edit