A Brief History of Mathematics in China
Mathematics, called arithmetic in ancient times, is an important subject in ancient Chinese science. According to the characteristics of the development of ancient mathematics in China, it can be divided into five periods: the germination period; The formation of the system; Development; Prosperity and the integration of Chinese and western mathematics.
A brief history of western mathematics
The evolution of mathematics can be regarded as the continuous development of abstraction or the extension of subject matter, and the eastern and western cultures have also taken different angles. European civilization developed geometry, and China developed arithmetic. The first abstracted concept is probably number (China's calculation). His cognition that two apples and two oranges have something in common is a great breakthrough in human thought. Besides knowing how to calculate the number of actual objects, prehistoric humans also knew how to calculate the number of abstract concepts, such as time-date, season and year. Arithmetic (addition, subtraction, multiplication and division) will naturally occur.
In addition, you need writing or other systems that can record numbers, such as Mu Fu or chips used by the Incas. There are many different counting systems in history.
In ancient times, the main principles in mathematics were the study of astronomy, the rational distribution of land and grain, taxation and trade. Mathematics is formed to understand the relationship between numbers, measure land and predict astronomical events. These needs can be simply summarized as the study of quantity, structure, space and time in mathematics.
After the Renaissance in Western Europe from ancient Greece to16th century, elementary mathematics, such as elementary algebra and elementary trigonometry, has been basically complete, but the concept of limit has not yet appeared.
/kloc-the emergence of the concept of European variables in the 0/7th century made people begin to study the relationship between the quantity of change and the mutual transformation between graphs. In the process of establishing classical mechanics, the method of combining calculus with geometric accuracy was invented. With the further development of natural science and technology, the fields of set theory, mathematical logic and so on, which are produced for studying the basis of mathematics, have also begun to develop slowly.