关于北京大学藏秦简《算书乙种》的综合研究
A Comprehensive Study of the Mathematical Treatise:Second Manuscript on the Qin Bamboo Slips Preserved at Peking University
邹大海 1夏庆卓2
作者信息
- 1. 中国科学院自然科学史研究所,北京 100190
- 2. 中国科学院自然科学史研究所,北京 100190;中国科学院大学,北京 100049
- 折叠
摘要
新近公布的北京大学藏秦简牍中有三种前所未知的数学著作,《算书乙种》是其中之一.本文首次对它进行系统的研究,分析其体例与编纂特点、知识类型与数学方法,以及相关的社会背景,并修正了以前学术界的若干不当认识.此书为撮编之作,结构上有一定层次,体现出编排的意图但考虑不周.作为实用算法式数学文献,此书不属于从"九数"发展至《九章算术》的经典系统,但它的内容仍为刘徽关于《九章算术》源于其先秦祖本的记载提供了新的直接证据.同时,此书也为研究秦国和秦代社会经济提供了难得的原始文献.
Abstract
The recently published Qin bamboo manuscripts preserved at Peking University in-clude three previously unknown mathematical works,one of which is the Suanshu yizhong(算书乙种,Mathematical Treatise:the Second Manuscript).This paper provides the first systematic study of it,analyzes its style and compilation,knowledge types and mathematical methods,as well as rele-vant social context.It corrects several mistaken understandings in previous studies.The work is a compilation with a specific hierarchical structure,reflecting an intended arrangement,though with some oversights.As a document of practical mathematical procedures,it does not belong to the clas-sical system that evolved from the"jiushu(九数,nine branches of mathematics)"to the Jiuzhang su-anshu(九章算术,NineChapters on Mathematical Procedures).However,its content still provides new direct evidence for Liu Hui's record that the Nine Chapters on Mathematical Procedures originated from its pre-Qin ancestors.At the same time,it also serves as a valuable source through which we can study the society and economy of the Qin State and the Qin Dynasty.
关键词
北京大学藏秦简牍/《算书乙种》/《九章算术》/中国数学史/计量制度/秦汉史Key words
Qin bamboo slips preserved at Peking University/Mathematical Treatise:the Sec-ond Manuscript(Suanshu yizhong 算书乙种)/Jiuzhang suanshu(九章算术,Nine Chapters on Math-ematical Procedures)/history of mathematics in China/measurement system/history of Qin and Han Dy引用本文复制引用
基金项目
国家社科基金冷门绝学研究专项(23VJXG012)
中国科学院战略研究专项:中国科学院自然科学史研究所"十四五"重大项目()
出版年
2024
NETL
NSTL
万方数据