I often enjoy reading up on math behind concepts I use everyday, especially when they are very well illustrated. This article is really good.
(Most of the graphs are interactive too)
They're not just important for computers by the way. Lots of Picasso's work is rooted in bezier curves: https://jeremykun.com/2013/05/11/bezier-curves-and-picasso/
wow. what an article.
That's no article... that's a textbook!