Math/physics/engineering/programming rely on similar skills but need somewhat different attitudes. I know people who are great at advanced math (especially earlier generations) but don't think about it computationally at all, and their code is very messy. On the other hand I know great programmers who just don't like to think in terms of proofs and dislike the ambiguous and vague nature of math notation (yes, math is much more vague and handwavy in notation compared to its reputation, especially compared to programming). And there are people who love programming as a kind of puzzle and like prodding it for its own sake, pursuing elegance and will get nerdsniped for weeks if you teach them about quines, while others just love building things and whatever gets them there doesn't matter too much.