Mathematical beauty is the objective reflection of natural beauty and the core of scientific beauty. Where there is mathematics, there is beauty. Mathematical beauty is not illusory and unpredictable, but has its definite objective content. The content of mathematical beauty is rich, such as the simplicity and unity of mathematical concepts, the coordination and symmetry of structural systems, the generality, typicality and universality of mathematical propositions and mathematical models, and the singularity in mathematics. This paper mainly discusses three characteristics of mathematical beauty: simplicity, harmony and singularity. ?

There are many forms of mathematical beauty. From the external image, she has the beauty of system, concept and formula. From the way of thinking: she has the beauty of simplicity, infinity, abstraction and analogy; From the aesthetic principle, she has the beauty of symmetry, harmony and strangeness. In addition, mathematics also has the characteristics of perfect symbolic language, unique abstract art, strict logical system and eternal innovation power. But these are inseparable from the three characteristics of mathematical beauty, namely simplicity, harmony and strangeness.