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What level of mathematical knowledge do you need to master to learn programming?
Now that you mention it, you want to be a mathematician, not a programmer. To solve some problems, you must have mathematical knowledge, but in most cases, you can ask a math professional for advice when you encounter a math problem you don't understand. There is a library of commonly used mathematical algorithms in computer professional books.

Of course, if you have the foundation of advanced mathematics, it will be of great help to your programming. But in most cases, it is enough for you to have middle school mathematics knowledge, because in the whole software system, although the algorithm part is the most difficult core soul of the program, its code proportion is very small, and the most important part of the program code is the software interface (interactive part).

Therefore, it is the right way to learn programming before learning algorithms, and it is wise to choose mathematical algorithms according to your own software design goals.