> I think mathematicians — similar to the people who didn't let themselves be scared away by zeroes, ones and babylonian letters — have become fluid at a system that they now defend, because they are the initiated magicians who understand it.

No, there is no elitism behind. Mathematical notation exists because it is the most compact form that also contains no ambiguity.

There is plenty of plain english explanation of all of mathematics, that is used to understand the concepts, but to represent them, you use math notation.