# Slides—Discrete Differential Forms

In this lecture, we turn smooth differential $k$-forms into discrete objects that we can actually compute with. The basic idea is actually quite simple: to capture some information about a differential $k$-form, we integrate it over each oriented $k$-simplex of a mesh. The resulting values are just ordinary numbers that give us some sense of what the original $k$-form must have looked like.

## 1 thought on “Slides—Discrete Differential Forms”

1. Keenan says:

There were some minor bugs on the slide “Integrating a 1-Form over an Edge—Example”; these have now been fixed!