《六章》、《三开》新探

On the two mathematical works "Liuzhang" and "Sankai

对奈良、平安时代日本及同期新罗在算学教育中使用的教科书《六章》和《三开》的作者归属提出不同看法。否定了日本学者认为这两部书是由新罗传入日本的 ,以及韩国学者认为是百济人作品的说法。通过对中、日、朝古代数学教育史料的分析和比较得到了新的结论 :1《六章》、《三开》既不是由新罗传入日本 ,也不是出自百济人的作品 ,它们都是由中国传入的数学书 ;2这两部书都是唐以前的作品 。

A new viewpoint is put forward on the author of Liuzhang (《六章》,Six Chapters) and the Sankai (《三开》),which were used as mathematical textbooks during the periods of the Nara(奈良) and Heian(平安) of Japan, and at the same time in Silla(新罗), and some statements,that the two mathematical works were introduced into Japan from Silla and that they were written by some person in Peakche(百济), therefore, are negated. By comparing the historical materials on the arithmetical education from China, Japan and Korea, the conclusions come as follows: (1)Neither the Liuzhang and the Sankai were introduced into Japane from Silla nor were they written in Peakche. They must be introduced into Japan and Korea from China. (2) Both the two works were written in China before the Tang dynasty ,and their author was Gao Yun (高允) in the Northern Wei dynasty.