1, History of Mathematics

The history of mathematics can be traced back to ancient Egypt and Mesopotamia in 3000 BC. The earliest mathematical literature is the mathematical formula of cuneiform invented by ancient Babylonians. Pythagoras, Euclid, Archimedes and other ancient Greek mathematicians have made great contributions to the development of mathematics, and their theories and methods still affect modern mathematics.

In China, there are Nine Chapters of Ancient Arithmetic, Zhou Pi Ai, Suan Jing and so on. Left a valuable mathematical legacy for future generations. The Arab world also made remarkable mathematical achievements in the Middle Ages, such as Al Hariri's Book of Calculations.

2. Philosophy of mathematics

The philosophical connotation of mathematics is rich and colorful. From ancient Greek philosophers such as Plato and Aristotle to modern mathematicians such as Whitehead and Russell, the essence and significance of mathematics have been deeply discussed.

Plato thinks that mathematics is an abstract representation of the real world. By studying the relationship between geometry and quantity, people can reveal the order and harmony of the universe. Aristotle pays attention to the logical structure and deductive reasoning of mathematics, and thinks that mathematics is a rational tool that can help people understand the essence of things.

At the beginning of the 20th century, German mathematician Hilbert put forward 23 famous questions, trying to solve the basic problems of mathematics, thus revealing the inherent logic and universality of mathematics. These problems have not been completely solved so far, but they have inspired countless mathematicians' enthusiasm and exploration spirit for mathematics.

3. The art of mathematics

There is a close relationship between mathematics and art, and mathematics plays an important role in it, from the golden ratio in ancient Greek sculpture, to the three-dimensional pictures created by Renaissance painters using perspective method, to the exquisite buildings and designs created by modern architects and designers using geometric principles.

Music, dance, poetry and other fields also have the shadow of mathematics. For example, the frequency distribution of notes follows Fibonacci sequence; Musicians express the relationship between scales through harmony processing; The rhythm and dynamic changes in dance arrangement often depend on mathematical algorithms.