[blauditore]

I think the mathematical background starts making sense once you get a good understanding of the topic, and then people make the wrong assumption that understanding the math will help learning the overall topic, but it that's usually pretty hard.

Rather than trying to form an ituition based on the theory, it's often easier to understand the technicalities after getting an intuition. This is generally true in exact sciences, especially mathematics. That's why examples are helpful.