Quantum mechanics can be roughly divided into two categories, one is the differential analytic category represented by Schrodinger equation (wave function energy equation), and the other is the matrix mechanics represented by Heisenberg, no matter which category, the essence is the same. Obviously, the required mathematical knowledge includes: mathematical analysis (calculus), algebra (matrix theory), mathematical and physical equations (differential equations), complex variable functions and so on. The study of mathematics in quantum mechanics is the foundation, and it is also necessary to integrate philosophical knowledge. Beginners focus on profoundly changing their understanding and thinking of the micro-world, which is a prerequisite and also very important.