An accident leads to a guess, and then countless accidents set up countless doors. How did mathematics change from a "thing" only used for measurement to such a huge system?

I'll try to avoid special professional things and briefly talk about the history of mathematics development.

First of all, the development of mathematics is divided into four periods:

first stage

Mathematical formative period

The formative period of mathematics is the period when human beings establish the most basic mathematical concepts. Since counting, human beings have gradually established the concept of natural numbers, simple calculation methods, and recognized the most basic and simplest geometric forms. Arithmetic and geometry are not separated.

The second period

Elementary mathematics, that is, the period of constant mathematics

Elementary mathematics is a constant period of mathematics. The most basic and simple achievements in this period constitute the main content of middle school mathematics. This period began in the 5th century BC, maybe earlier, and lasted for about two thousand years until17th century. This period gradually formed the main branches of elementary mathematics: arithmetic, geometry and algebra.

tertiary

Variable mathematical period

The period of variable mathematics. Variable mathematics came into being in17th century, and has gone through two decisive and significant steps: the first step is the generation of analytic geometry; The second step is calculus, which is to study the differential of functions in higher mathematics. It is the basic subject of mathematics. The content mainly includes limit, differential calculus, integral calculus, equation and its application. Differential calculus, including the calculation of derivatives, is a set of theories about the rate of change. It makes the function, velocity, acceleration and curve slope can be discussed with a set of universal symbols. Integral calculus, including the calculation of integral, provides a set of general methods for defining and calculating area and volume.

The fourth stage

Modern mathematics period

Modern mathematics. The period of modern mathematics began at the beginning of19th century. The beginning of the modern stage of mathematics development is characterized by profound changes in all foundations-algebra, geometry and analysis. Branches began to become extremely complex and developed at an extremely fast speed.

The reason why mathematics can develop to the present scale is largely because the development of mathematics has restricted the development of technology. Many times I want to solve problems, but no math tool can meet my problem-solving needs. Mathematics is promoted by other disciplines besides itself. Physics and mathematics, for example, have always been complementary and mutually reinforcing.

Concise:

The main reasons for promoting the development of mathematics are the actual demand of various technologies and human speculation on unknown technologies and academic aspects.