摘要
考察了睡虎地汉简《算术》和《九章算术》、《张丘建算经》中的委输算题的特点,利用刘徽的《九章算术注》、岳麓书院秦简《数》、张家山汉简《算数书》等材料提出推导其术文的复原方案。并用睡虎地秦律和张家山汉简《二年律令》,探讨了这类算题的社会背景,特别是律令中的程。
The paper investigates the characteristics of the problems concerning weishu （a kind of transportation organized by the government） in the Han bamboo slip Suanshu（Mathematical Procedures） unearthed from Shuihudi,the Nine Chapters on Mathematical Procedures and the Mathematical Classic of Zhang Qiujian. Referring to Liu Hui’s Annotations on the Nine Chapters,the Shu （Mathematics） on Qin bamboo strips preserved in Yuelu Academy,the Suanshu Shu （Writings on Reckoning） on Han bamboo strips unearthed from Zhangjiashan,this paper provides several schemes for restoring the procedures how the ancients obtain those methods. Referring to the Laws on the bamboo strips of Qin unearthed from Shuihudi and the Ernian Luling （Laws of the Second Years） of Han Dynasty unearthed from Zhangjiashan,the paper discusses the social context of these problems,especially the cheng （laws on standards） in the laws.
出处
《湖南大学学报（社会科学版）》
CSSCI
北大核心
2010年第4期5-10,共6页
Journal of Hunan University(Social Sciences)
基金
中国科学院自然科学史研究所中国古代科技史前沿课题"简牍与上古数学史研究"
关键词
委输问题及其社会背景
《算术》
《九章算术》
《数》
《算数书》
律程
weishu problems and their social context
Suanshu
Nine Chapters on Mathematical Procedures
Shu
Suanshu Shu
cheng
