摘要
借助类比的数学思想,利用根与系数的关系及函数项级数一致收敛的概念,给出欧拉和的几种新的证明方法.
With the help of analogical thinking,use association thought method of relations between roots and coefficients and the function key concept of uniform convergence of series,some new proof of the sum of reciprocals of the squares of natural numbers are given.
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
2011年第3期239-242,共4页
Journal of Inner Mongolia Normal University(Natural Science Edition)
基金
国家自然科学基金资助项目(10671155)
陕西省自然科学基金资助项目(SJ08A28)
关键词
欧拉和
根与系数关系
函数项级数
一致收敛
sum of Euler
relationship between roots and coefficients
function series
the uniform convergence
