对称性在高等数学解题中的应用——数学美学方法的应用

Application of Symmetry in the Solution of Advanced Mathematics——the Application of Aesthetic Method of Mathematics in the Solution

解题是一门艺术 ,对称性是艺术的一个非常重要的要素。高等数学中的若干实例 ,证实了 :如果在解题的过程中注意到对称性 ,并且恰当地利用对称性 ,则可以减少一些繁琐的计算 ,化难为易 ,提高解题效率 ,达到事半功倍的效果。

Solution is an art. Symmetry is a very important element in the art. This paper, through several illustrations of advanced mathematics, has reached a conclusion that if the symmetry is paid attention in the processes of the solution and the symmetry is properly used, some miscellaneous calculation can be reduced. In this way, the difficult can become easy and the solution is more efficient and can achieve twice the results for half the effort.