Abstract
The Qin laws kept on the bamboo slips unearthed from Tomb No. 11 of the Qin Dynasty at Shuihudi in Yunmeng County have great value for the study on the history of mathematics in Pre-Qin China. Many law texts recorded the severe requirements of the Qin State in the administration concerning accounting and statistics, the conversion rates between various types of foodstuffs and the proportional allotment of foodstuffs, as well as the plans and practices of engineering projets, etc. Comparative studies on the relationships between these severe Laws and the relevant methematical methords of Jiuzhang suanshu lead to such conclusions as: 1) the Qin laws were based upon the foundation of highly developed mathematics; 2) many mathematical methods of Jiuzhang suanshu were produced before the Qin Dynasty; 3) The influence of Legalists on mathematics mostly took place in the Pre-Qin Period or the Qin Dynasty.
摘要
湖北云梦睡虎地11号秦墓出土的秦律竹简, 对研究先秦数学有巨大的价值。 许多简文记载了秦国在会计和统计、 若干粮米的换算比率、 公共事务中粮食的分配, 以及工程计划实施等方面的严苛要求, 系统分析这些法律和《九章算术》中的数学方法, 可得出如下结论: 1、 秦律建立在高度发达的数学基础上; 2、 大多数《九章算术》中的数学方法产生于秦以前; 3、 法家对数学的影响主要发生于先秦或秦代。
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References
Chen Qiyou 陈奇猷. Lüshi chunqiu xin jiaoshi 吕氏春秋新校释 (New collations and commentaries on Lüshi chunqiu). Shanghai: Shanghai guji chubanshe, 2002.
Cullen, Christopher. Astronomy and Mathematics in Ancient China: The Zhoubi Suanjing. Cambridge: Cambridge University Press, 1996.
Duan Yucai 段玉裁. Shuowen jiezi zhu 说文解字注 (Commentary on the explaining radicals and analyzing compound characters). Shanghai: Shanghai guji chubanshe, 1981.
Guo Moruo, ed. 郭沫若主编. Zhongguo tongshi 中国通史 (A general history of China). Vol. 1. Beijing: Renmin chubanshe, 1976.
Guo Shuchun 郭书春. Gudai shijie shuxue taidou Liu Hui 古代世界数学泰斗刘徽 (Liu Hui, a great master of mathematics in ancient world). Ji’nan: Shandong kexue jishu chubanshe, 1992.
—. Jiuzhang suanshu huijiao ben 《九章算术》汇校本 (The Nine Chapters on Mathematical Art, with collations based on all kinds of editions). Shenyang: Liaoning jiaoyu chubanshe, 1990.
—. “Zhang Cang and the Jiuzhang suanshu” 张苍与《九章算术》 (Zhang Cang and The Nine Chapters on Mathematical Art). In: Keshi xinchuan—Qingzhu Du Shiran xiansheng congshi kexueshi yanjiu 40 zhounian xueshu lunwenji 科史薪传—庆祝杜石然先生从事科学 史研究40周年学术论文集. Shenyang: Liaoning jiaoyu chubanshe, 1997, 112–121.
Hulsewe, A. F. P. Remnants of Ch’in Law. Leiden: E. J. Brill, 1985.
Jianglin Zhangjiashan Hanmu Zhujian Zhengli Xiaozu. “Jianglin Zhangjiashan Hanmu zhujian Suanshu shu shiwen” 江陵张家山汉墓竹简《算数书》释文 (Transcription of Writings on Reckoning, a book on bamboo strips unearthed from Zhangjiashan of Jianglin). Wenwu 文物 (Cultural Relics), 2000, No. 9, 78–84.
Knoblock, John. Xunzi: A Translation and Study of the Complete Works. Stanford: Stanford University Press, 1988.
Legge, James. The Chinese Classics, Vol. 5: The Ch’un Tsew with the Tso Chuen. Hong Kong: Hong Kong University Press, 1970.
Li Di, ed. 李迪. Zhongguo shuxueshi daxi 中国数学史大系 (A series of history of Chinese mathematics), Vol. 1. Beijing: Beijing shifan daxue chubanshe, 1998.
Liang Qixiong 梁启雄. Xunzi jianshi 荀子简释 (Concise explanation of Xunzi). Beijing: Zhonghua shuju, 1983.
Peng Hao 彭浩. “Zhongguo zuizao de shuxue zhuzuo Suanshu shu” 中国最早的数学著作《算数 书》 (Writings on Reckoning, the earliest work of mathematics in China). Wenwu 文物 (Cultural Relics), 2000, No. 9, 85–90.
Qian Baocong, ed. 钱宝琮主编. Zhongguo shuxueshi 中国数学史 (A history of mathematics in China). Beijing: Kexue chubanshe, 1981, 14.
Shanghai Shifan Daxue Guji Yanjiusuo (collated and punctured). Guoyu 国语 (Stories of various states). Shanghai: Shanghai guji chubanshe, 1990.
Shen, Kangshen, John N Crossely, and Anthony W.-C., Lun. The Nine Chapters on the Mathematical Art: Companion and Commentary. Oxford: Oxford University Press; Beijing: Science Press, 1999.
Shuihudi Qinmu Zhujian Zhengli Xiaozu. Shuihudi Qinmu zhujian 睡虎地秦墓竹简 (The bamboo strips excavated from the tomb of Qin Dynasty at Shuihudi). Beijing: Wenwu chubanshe, 1978.
Xu Shen 许慎. Shuowen Jiezi 说文解字 (Explaining radicals and analyzing compound characters). Beijing: Zhonghua shuju, 1978.
Yang Bojun 杨伯峻. Chunqiu zuozhuan zhu 春秋左传注 (Commentary on the Chunqiu Zuozhuan). Beijing: Zhonghua shuju, 1995.
Yinqüeshan Hanmu Zhujian Zhengli Xiaozu. Yinqüeshan Hanmu zhujian [yi] 银雀山汉墓竹简 [壹] (Bamboo strips unearthed from the tomb of Han Dynasty in Yinqüeshan], Vol. 1. Beijing: Wenwu chubanshe, 1985.
Yu Zhengbo 于振波. “Hanjian ‘desuan’, ‘fusuan’ kao” 汉简’得算’、’负算’考 (Textual research on “desuan” and “fusuan” on the bamboo strips of the Han Dynasty). In: Jianbo Yanjiu 简帛研究, No. 2. Beijing: Falü chubanshe, 1996, 324–331.
Zou Dahai 邹大海. “Chutu Suanshu shu chutan” 出土 «算数书» 初探 (An elementary research on the unearthed mathematics book Writings on Reckoning). Ziran kexueshi yanjiu 自然 科学史研究 (Studies on the history of natural sciences), 2001a, Vol. 20, No. 3, 193–205.
—. Zhongguo shuxue de xingqi yu xianqin shuxue 中国数学的兴起与先秦数学 (Chinese mathematics in Pre-Qin Period). Shijiazhuang: Hebei kexue jishu chubanshe, 2001b.
—. “Cong Suanshu shu he Qinjian kan shanggu liangmi de bilü” 从《算数书》和秦简看上 古粮米的比率 (The ratios of several kinds of foodstuffs in ancient China—a new research based on the Writings on Reckoning and the Qin strips). Ziran kexueshi yanjiu 自然科学史 研究 (Studies on the history of natural sciences), 2003, Vol. 22, No. 4, 318–328.
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Translated from Kaogu 考古 (Archaeology), 2005, (6): 57–65
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Zou, D. Shuihudi bamboo strips of the Qin Dynasty and mathematics in Pre-Qin Period. Front. Hist. China 2, 632–654 (2007). https://doi.org/10.1007/s11462-007-0030-8
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DOI: https://doi.org/10.1007/s11462-007-0030-8
Keywords
- Shuihudi bamboo strips of the Qin Dynasty
- Qin laws
- mathematics in the Pre-Qin Period
- Jiuzhang suanshu
- Suanshu shu