和算与中算求球体积方法的演进及比较  

Development and Comparison about the Proof of Sphere’s Volume by Chinese and Japanese Mathematicians

作　　者：田强[1] 徐君[1,2] 

机构地区：[1]包头师范学院数学科学学院,内蒙古包头014030 [2]内蒙古师范大学科学技术史与管理学院,内蒙古呼和浩特010022

出　　处：《数学教育学报》2009年第1期16-21,共6页Journal of Mathematics Education

摘　　要：对球体积公式的证明一直是中日两国古代数学家所共同关注的问题.和算中的球体积证明方法承接性较好,通过几代人的工作得出球体积公式,中算家却是用几种不同的方法证明了球体积公式.The proof of the sphere＇s volume formula is always concerned by both Chinese mathematicians and Japanese mathematicians. The method used in proofing the sphere＇s volume formula by Japanese mathematicians has excellent coherent and sphere＇s volume formula has been got by work of several mathematicians. But some different methods are used to proof the sphere＇s volume formula by Chinese mathematicians.

关 键 词：《算法勿惮改》 村濑义益 数学选择 球体积 创造性思维 

分 类 号：G40-09[文化科学—教育学原理]