Connection: Mathematics other than elementary mathematics is advanced mathematics, and some call algebra, geometry, simple set theory and logic in middle school as intermediate mathematics, which is regarded as the transition between elementary mathematics in primary and secondary schools and advanced mathematics in universities.

Difference:

1, different learning contents:

Elementary mathematics, including algebra, plane geometry, solid geometry, triangle and plane analytic geometry, is the basis of higher mathematics.

Advanced mathematics includes spatial analytic geometry, calculus, infinite series and so on. , is the expansion and extension of elementary mathematics.

2. Different research directions:

Elementary mathematics studies constants and even variables.

Higher mathematics studies nonhomogeneous variables.

3. Different calculation methods

The computational aspect of mathematics. Even occupies a dominant position in elementary mathematics.

Its position in higher mathematics is also obvious. In addition to many theoretical subjects, advanced mathematics also has a large number of computational subjects, such as differential equations, computational mathematics, statistics and so on.

Extended data:

The period of elementary mathematics lasted more than two thousand years from the fifth century BC to the seventeenth century AD, and ended with the establishment of advanced mathematics. The most obvious achievement in this period is the systematic establishment of elementary mathematics, that is, arithmetic, elementary algebra, elementary geometry (plane geometry and solid geometry) and plane triangle in the current primary and secondary school curriculum.

The period of elementary mathematics can be divided into two parts according to different contents, namely, the period of geometric development (to the second century AD) and the period of algebraic priority development (from the second century AD to the seventeenth century AD). It can also be divided into "Greek period", "Oriental period" and "European Renaissance period" according to different historical conditions.

The Greek period coincided with the general prosperity of Greek culture. Greece is an ancient civilization, but compared with Babylon, Egypt, India and China, Greek civilization is a little later in the history of civilization.

Greek civilization lasted 1000 years; According to the development of mathematics, it can be divided into classical period and Alexander period.

The Eastern Period mainly refers to that after the decline of ancient Greece, the development center of western mathematics moved to India in the East; Arabia, etc.

The Renaissance in Europe is a period when elementary mathematics developed to a certain stage, preparing for the development of mathematics to a higher stage.

Baidu encyclopedia-advanced mathematics

Baidu encyclopedia-elementary mathematics