球体积的计算在微积分创立之前,是一个十分困难的问题,然而,在古代中国、印度和日本等地都先后导出了正确的球体积计算公式.对这些地区发现和证明球体积公式的方法、思想和途径进行比较分析,为深刻理解不同文明或地区的数学传统,揭示数学在不同地区之间的交流与传播的途径和线索提供参考.
Calculation of the size of the ball at the creation of calculus before,is a very difficult problem,however,in ancient China,India and Japan,the correct formula for calculating the size of the ball have been derived.Compared and analyzed the methods of finding and proving the sphere volume formula in these areas,it provides some information and clues for deeply understanding of the mathematical tradition different cultures and regions,reveals the exchange and dissemination of the mathematics in different regions.