The first level, that is, the top mathematics discipline, is identified by a unique two-digit number; At this level, there are currently 64 mathematics disciplines with unique double digits, among which the disciplines related to the physical field, commonly known as the field of mathematical physics, have the top mathematics categories, especially fluid mechanics, quantum mechanics, geophysics, optics and electromagnetic theory.

The specific mathematical field of the second level under the first level classification is represented by a single Latin letter, and its identification code varies with the first level discipline classification.

The third level corresponds to a specific mathematical object, research direction or well-known problem.

The traditional division of mathematics field;

The traditional classification in the field of mathematics is simply divided into pure mathematics and applied mathematics. This simple division has become increasingly unsuitable for the needs of algebra and its related contemporary scientific and technological fields, and this division is not always clear. Many subjects are not only traditional pure mathematics, but also widely used unexpectedly. At the same time, the traditional applied mathematics has led to the development of a brand-new mathematics discipline and triggered a new topic belonging to pure mathematics.