Today we continue our journey toward building up (discrete) exterior calculus by talking about how to *measure* little k-dimensional volumes. Just like rulers measure length, and cups measure volume, *k-forms* will be used to take measurements of the little *k*-dimensional volumes or *k-vectors* that we built up using exterior algebra in our previous lecture. Such measurements will ultimately allow us to talk about integration over curved spaces; in the discrete setting, these measurements will be the basic data we associate with the elements of mesh.

## 2 thoughts on “Slides—\(k\)-Forms”

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I just realized that the formula for determinant is just a special case of wedge product…

So simple yet all these years I have never known…

This is amazing

And why 3d cross product is using that ijk trick.