Programming is a subset of math, namely, the part of math that deals with algorithms. There are many parts of math that are not contained in programming. For

Programming is a subset of math, namely, the part of math that deals with algorithms. There are many parts of math that are not contained in programming. For example, floating point numbers are finite representations of real numbers, but since floats are finite, without some math theory beyond just algorithms, there is no way to understand them. There are may similar examples.