Open classification: mathematics, geometry, algebra, elementary mathematics.

Before Newton and Leibniz founded calculus and strictly based on limit theory, there was no concept of limit in mathematical research methods. It can be vaguely said that elementary mathematics is to study mathematics with high skills and simple methods, not including extreme thoughts. It is vague because it is impossible and unnecessary for us to give it a precise definition. There seems to be no secondary mathematics, and the calculus content after Newton's Brenc is advanced mathematics.

Advanced mathematics is more advanced than elementary mathematics. Broadly speaking, all mathematics except elementary mathematics is advanced mathematics, and some middle school algebra, geometry and simple set theory logic are called intermediate mathematics, which is the transition between junior high school elementary mathematics and undergraduate advanced mathematics. Among them, Newton and Leibniz laid the calculus together, which brought great influence to later generations.

Higher mathematics pays more attention to the research and application of mathematical foundation.