数学的对称美与数学创新

Symmetrical Beauty of Mathematics and Its Innovation

对称美在数学研究中有重要作用,它是数学创造与发现的美学方法之一。对偶是对称概念的拓广,我们提出用图表示数学元素的"对偶"的方法。这种方法有利于数学的学习和创新。

Symmetrical beauty is one of the most important parts of mathematical aesthetics, widely existing in every branch of elementary mathematics and higher mathematics. The notion of duality is an extension of symmetry. Using a diagram to denote the duality of mathematical element is proposed in the paper. This is propitious to mathematics study and innovation.