| Don't study it for usefulness, study it for beauty. Look for amazing insights. Yes, you need some practical math as well. I did engineering, there's a lot of inelegant stuff there. But that stuff actually tends to be right next to some very interesting things. Here are three things you can find out. First, there's more than one kind of infinity. You can't make a map from natural numbers like 1, 2, 3 etc to real numbers like e, 0.632268, sqrt(2) etc. Look for Cantor diagonalization. Second, a random walk like a heads vs tails comes back to zero almost certainly. It also does so in two dimensions, like walking randomly in Manhattan. In three dimensions, it does not, and so for higher dimensions. Look for Polya. Third. There is a way for you and me to communicate secretly, despite everyone in HN being able to see our entire exchange. Look for Diffie Helmann. These days, there's a whole industry of people doing math videos with interesting stuff. |