It seems that conventional wisdom suggests that good programmers are also good at math. Or that the two are somehow intrinsically linked. Many programming books I have read provide many examples that are solutions to math problems, or are somehow related to math as if these examples are what make sense to most people.
So the question I would like to float is: do you have to be good at math to be a good programmer?
I think it is possible. I personally know someone who sucks at math and as I know is a pretty good programmer.
However IMHO programming has a relation to discrete math and being good at that does help you in your programming.
But being able to integrate and differentiate and that kind of math is not really relevant, while that is where most people have problems with math.
The answer to this question is the same as if the question had been "Do we have to learn computer science to program?" Technically no, in that the ability to program doesn't require that you understand how caching works or how databases are fundamentally structured or even how the internet works. However, perhaps it limits what you're capable of programming. It's like thinking you can write poetry because you know english. Knowing how to formulate words to write poetry doesn't mean you can write poetry.
In this sense, you can program without knowing mathematics, though perhaps your inability to perform mathematics would undermine an essentially important skill of a programmer not only for not being able to do the mathematics but also for the ability to logically proof your code which comes only from years of programming experience or having performed proofs in mathematics, for instance.
As aforementioned, math is thought to be important to be a good programmer. Does that mean, just learning formulas make you a good programmer?
Per my experience it is the ability to observe situations, and decide based on the observation that is needed: you see a case and pose a question about it. And look for answers to solve it. If you can break it into parts as means of solution it is the better. But it is still in the realm of logic.
The ability to think logically, and looking at problem with the attitude of solving it is very rare in society... in terms of percentage. Even between smart and intelligent people there are ones that perceive faster or slower.
Math happens to be a field that people don't understand and hold confusing. While the logic people using their reasoning "work with it" until they understand it. Therefore often the ones not having understood math, tend to associate the two fields with each other. While they are not.
Being able to observe and decide can make you also a good leader, a good cook, and so on. But it is eventually your decision and motivation that makes you a programmer.
Not all maths are about crunching numbers. Anyone who can program is good at math relevant to programming. Remember: Mathematics is the study of patterns!
From my experience I can tell that there is math and there is other math. If we take a birds eye view at math from the scientific point of view, we will discover that dealing with math requires a high potential of thinking "a logical" way - while following strict rules. This is diffenrent to some other siences - lets say at Arts. So this logical apporach is absolutley mandatory to be a programmer.
Basicly the way you think while programming is very simular to the way you think while dealing with math.
Further there are lots of problems to be solved via math when programming, but this is what I tend to call the "real world math". You can find some examples in the posts above. Also writing a 3D engine is quite complex, the math behind isn't that complex at all. It just requires some structured thinking.
"The other math" is the one you deal with when you (e.g.) study math. There you don't do real world stuff anymore, you focus on more abstact tasks like defining or proving mathematic rules. That materia becomes very complex within a short period of time, but it is not required for your job as programmer.
In other words: you need a basic understanding of math and you should be able to think a structured way, but you do not need "high level" math to be a (good) programmer.
No, no, and a side of no. Math courses help you to develop a method of thinking and problem solving that is useful as a programmer. The actual math however proves entirely unnecessary in most jobs in this industry.
You can look through endless source on GITHUB or programming books/tutorials without encountering any maths. A lot of web programming has scarcely got anything to do with algorithms, never mind maths. To be a computer scientist? Perhaps. Just to be a good programmer? No way.
