Basic mathematics, also called pure mathematics, specializes in the internal laws of mathematics itself. The knowledge of algebra, geometry, calculus and probability introduced in primary and secondary school textbooks belongs to pure mathematics. A remarkable feature of pure mathematics is to temporarily put aside the specific content and study the quantitative relationship and spatial form of things in pure form.

Mathematics can be divided into two categories: one is pure mathematics; One is called applied mathematics.

The first kind of mathematics. It is based on the inherent needs of mathematics or possible future applications to study the inherent laws of the mathematical structure itself, and has no direct connection with other disciplines seeking common ground to solve practical problems.

The second kind of mathematics. It focuses on applying mathematical tools to solve practical problems in work and life. In the process of solving problems, the mathematical tool used is basic mathematics.

We call the mathematics learned from primary school to university basic mathematics. Mathematics is a basic subject, and basic mathematics is the foundation of foundation. Its research field is broad and theoretical.

Mainly refers to geometry, algebra (including number theory), topology, analysis, equations and some branches of mathematics developed on this basis. Specific branches include: projective differential geometry, Riemannian geometry, global differential geometry, harmonic analysis and its application, wavelet analysis, partial differential equations, applied differential equations, algebra and so on.