中印两国球积计算方法与微积分的发展

A Comparative Study between Chinese and Hindu on the Calculational Methods of Spheral Area and Volume

文化背景的相似,地理位置的相邻,使得中国和印度的数学发展存在着某些共性:同属东方算学体系,同样注重算法的应用,同样淡薄演绎体系。但是两国在计算球的面积和体积问题上却存在着巨大的差异,使用了截然不同的两种方法。本文通过分析这两种方法,得出球的问题是阻碍或推进微积分在中印两国发展的重要原因。

The ancient mathematics of Chinese and Hindu belong to the Eastern mathematics system,but two countries used different methods in computing spherical area and volume.By analyze the methods,we can give a conclusion that the spherical problem is an important element in baffling or pushing the development of differential calculus.