Our next lecture will cover one of the basic tools we’ll use throughout the rest of the course: exterior algebra. The basic idea is to add a couple new operations to our usual list of vector operations (dot product, cross product, etc.) that make it easy to talk about volumes rather than just vectors. If you felt ok working with things like the cross product and the determinant in your linear algebra/vector calculus courses, this shouldn’t be too big of a leap. (If not, could be a good moment for a review!)
4 thoughts on “Lecture 3: Exterior Algebra”
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I think the Slides link is broken for me, does it work for other people?
No 🙁
nvm you can find them on the website from last year https://brickisland.net/DDGSpring2021/category/slides/?order=desc
Hello, in the page 13 of the PDF, it representes
+: V × V → V
I think it should be V + V → V, right?
While in the page 15 of the PDF, it shows
: V × V → R