1. Mathematics is a combination of rational thinking and imagination, and it is a discipline that studies concepts such as quantity, structure, change and spatial model. By using abstract and logical reasoning, the shape and motion of objects are counted, calculated, measured and observed. Mathematicians have extended these concepts in order to express new conjectures with formulas and establish strictly deduced truths from properly selected axioms and definitions. Its development is based on the needs of society, so it has the beauty of mathematics. Mainly: unity, symmetry and conciseness.
Its development is based on the needs of society, so it has the beauty of mathematics. Mathematics has always been appreciated by people for its high abstraction and strict logic, but few people associate it with aesthetics. Mathematics originated from architecture, and it was the pursuit of beauty that produced mathematics. It seems that mathematics has nothing to do with aesthetics. In fact, this is a misunderstanding of the essence of mathematics, and a lack of real understanding and understanding of the relationship between mathematics and aesthetics and the beauty in mathematics. Mathematics interprets aesthetics in a unique way.
3. Professor Hua, a famous mathematician in China, said: "As far as mathematics itself is concerned, it is magnificent, colorful and fascinating ... People who think mathematics is boring only see the rigor of mathematics, but they don't realize the inherent beauty of mathematics." Mathematician Professor Xu Lizhi pointed out: "The mathematics garden is full of beautiful flowers. It is a splendid flower and fruit garden, which is developed according to the pursuit of beauty. "
4. Beauty in mathematics is rich and colorful, such as formal symbols, formulas, curves, surfaces, proofs, methods and theories of beauty. From the content, mathematical beauty can be divided into structural beauty, linguistic beauty and methodological beauty; As far as form is concerned, mathematical beauty can be divided into external morphological beauty and internal rational beauty. Combining content and form, the beauty of mathematics has two main characteristics: harmony and strangeness.