Recommending two recent videos about the Fourier transform.
This one of #Veritassium on the history of the discovery of the Fast Fourier Transform (spoiler: it's actually a re-discovery!): https://www.youtube.com/watch?v=nmgFG7PUHfo
And this one of #3blue1brown explaining those funny Borwein integrals:
https://www.youtube.com/watch?v=851U557j6HE