Mathematical beauty is an objective reflection of natural beauty and the core of scientific beauty. In short, mathematical beauty is the wonderful, regular, pleasing and beautiful things in mathematics.
As a scientific language, mathematics has the characteristics of beauty that are common to language and art. That is to say, mathematics also has its own beauty in its content structure and method, which is the so-called Mathematics is beautiful.
The meaning of mathematical beauty is rich, such as the simplicity and unity of mathematical concepts, the coordination and symmetry of structural relationships, the generality, typicality and universality of mathematical propositions and mathematical models, and Singularity in mathematics and so on are the specific content of mathematical beauty.
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Mathematical beauty is different from other beauties. It does not have bright colors, beautiful sounds, or dynamic pictures, but it is a unique kind of beauty. .
Klein, a German mathematician, once described the beauty of mathematics as follows: "Music can inspire or soothe feelings, painting can make people happy, poetry can move people's hearts, philosophy can help people gain wisdom, and technology can improve material life. , but mathematics can provide all of the above. ”
Most mathematicians derive aesthetic pleasure from their work and from mathematics in general. They express this joy by describing mathematics as beautiful. Mathematicians sometimes describe mathematics as an art form, or at least a creative activity. Often compared to music and poetry.