摘要
学术界尤其是文物界流行着《筭数书》是《九章筭术》之源的看法.这是认为《筭数书》成书比《九章筭术》早,并且只考察两者的相同部分得出的结论.实际上《筭数书》是从许多著作摘录撮编而成的,《九章筭术》的主体部分完成于先秦,两者孰先孰后,无法判定.两者题目的异同成为考察它们的关系的主要指标.两者相同的题目在《筭数书》中不足1/10,在《九章筭术》中不足1/27.两者绝大部分题目和术文并不相同.因此《筭数书》决不会是《九章筭术》之源.应该说,两者共同的方法,是先秦数学界的共识.
It is well accepted among scholars, especially scholars of cultural relics that the Suanshu Shu （ Writtings on Reckoning） is an origin of the Nine Chapters of Mathematical Procedures. This opinion is based on the investigation of the similar parts of these two books. In fact, the Suanshu Shu was compiled by excerpting materials of many works, and the main part of the Nine Chapters on Mathematical Procedures was finished in Pre-Qin Period. There is no way to judge which of these two books is earlier. Thus, the similarities and the differences in the problems between them become the base of research about their relation. Statistical research shows that the amount of similar problems in the two books occupy less than one tenth of the Suanshu Shu, and less than one twenty -sevenths of the Nine Chapters on Mathematical Procedures. Most of the problems, procedures and texts of the two books are different. Therefore, the Suanshu Shu is impossible to be an origin of the Nine Chapters on Mathematical Procedures. The reason for the existence of similar problems and method in the two books is that such parts are the common knowledge among mathematicians in Pre-Qin Period.
出处
《曲阜师范大学学报（自然科学版）》
CAS
2008年第3期1-7,共7页
Journal of Qufu Normal University(Natural Science)
关键词
筭数书
九章筭术
先秦数学
Suanshu Shu （Writtings on Reckoning） in Pre-Qin Period
Nine Chapters on Mathematical Procedures
mathematics
