[WarmWash]

The thing is that you basically cannot explain the math like you can the programming.

Tables, algos, and variables are all things people can generally quickly grasp. The construction is abstract but the function is tangible.

The math is working entirely on abstract objects, using abstract tools, governed by abstract rules. It's just all so desperately far away from anything even technical people have contact with.

[jongjong]

This is true. Math is more abstract. Some aspects are more tangible; this is what they teach at school and undergrad university... But once you get to master level and PhD, it tends to become increasingly abstract... The utility is only visible to PhD engineers in very specific areas and in those cases, even the mathematicians themselves can't fully grasp the utility of their work and they probably don't really need to.

They don't seem to have any desire to reconcile their 'craft' with real world applications and this is probably why they're particularly good at it.