Top programmers not only know how to write code, but also know the application of various algorithms. The background knowledge of the application is advanced mathematics. If you only know how to write code, you are not a top programmer, but a medium programmer at best.

For the simplest example, image recognition or face recognition is to process the image. The essence of image is matrix, so it is inseparable from various operations of linear algebra, feature solving and programming solving.

Face recognition may also involve neural network learning and trying gradient budget, which are inseparable from calculus.

For another example, the compilation of passwords is also inseparable from the application of matrix algebra, whether it is ciphertext or ciphertext to plaintext.

Besides, there are too many text indexes and text processing. The above knowledge should be translated into code and written in your program.

Therefore, from the perspective of application, it is inseparable from advanced mathematics. If you want to be a top programmer, you must learn advanced mathematics well.