Problem description:

Please answer the mathematical basis of understanding quantum mechanics and relativity respectively.

Ask for caution.

Analysis:

Quantum mechanics: calculus, differential equations, this is the foundation. Matrix and quantum mechanics are also developed from matrix mechanics and Heisenberg, which are equivalent to Schrodinger's wave mechanics. In functional and quantum mechanics, there are many places to use variational methods, such as Hartree-Fock method. Complex functions and wave functions are often expressed by complex numbers. Wait a minute.

In fact, as long as you have some basic knowledge of calculus, you can start learning, and then supplement your own mathematical knowledge in the process of learning. Few people begin to learn quantum mechanics after they have mastered all the necessary mathematical knowledge.

Special relativity: basic knowledge of calculus, matrix and tensor.

General relativity: differential geometry, including tensor, manifold, etc. This is the basis of describing curved space-time.