Perhaps programming doesn't resemble your perception of the maths you've been exposed to, but honestly all of maths is grouping together actions in a logical wa

Perhaps programming doesn't resemble your perception of the maths you've been exposed to, but honestly all of maths is grouping together actions in a logical way. Programming is very much a certain kind of mathematics (though if it helps to think of them as distinct, by all means do so!). I relate very much to your perfectionist statement. Keep in mind that each thing you learn about how the underlying machine operates will make you a more effective programmer. Learn about the craft of programming (patterns of design, abstraction, etc.), but don't lose sight of the fact that programs run on physical machines, and our bound by the properties of those machines.