What mathematical knowledge is needed as the basis in the field of electromagnetic field and electromagnetic wave?

The basic preparatory knowledge is the physical laws involved in the four equations in Max Group. Coulomb's law, Gauss's law under magnetic field and electric field, Faraday's law of electromagnetic induction, Bi Sabat's circulation law (later extended to Ampere's circulation law. This is the basic knowledge of physics. Mainly in mathematics, we need to master the knowledge of calculus and several simple algorithms related to vectors. Master some methods to solve differential equations and partial differential equations (it is very necessary for formula derivation). Basically, the study of geomagnetic field and electromagnetic wave theory needs these. The book of electromagnetic field and electromagnetic wave theory must have the foundation of advanced mathematics and the foundation of mathematical physics! Otherwise, the integral form and differential form of Maxwell's equation will be difficult for you to understand! So you made the right choice. By studying advanced mathematics and looking at the methods of mathematical physics, you can still teach yourself electromagnetic fields and electromagnetic waves. Another feature of this course is that there are too many formulas, so remember to digest them slowly.