The existence of fields that merge math and programming does not mean that "doing math" and "programming" are similar actions/similar fields. I've studied both

The existence of fields that merge math and programming does not mean that "doing math" and "programming" are similar actions/similar fields. I've studied both and there is a world of difference. > How else would the math be invented in the first place? Usually the first step for problems to be solved is their expression in a mathematical way. See the heat equation: Newton (and probably others, history is not my strong point) already captured the core idea of heat transfer (transfer rate is proportional to the temperature difference) but it could only be really solved by Fourier once all of those ideas were put in mathematical expressions.