九九歌考  

Textual Research on “99” Multiplication Table

作　　者：金顺利[1] 刘宝炜[1] JIN Shun-li LIU Bao-wei(College of Mathematics and Statistics, Cangzhou Normal University, Cangzhou, Hebei 061001, China)

机构地区：[1]沧州师范学院数学与统计学院,河北沧州061001

出　　处：《沧州师范学院学报》2017年第2期14-17,共4页Journal of Cangzhou Normal University

摘　　要：通过对中国古算数学梳理、考证,揭示了九九歌是在殷商十进制计数系统与运算法则的基础上总结的成果,从而确定了九九歌形成年代为西周时期,勘正了九九歌形成于上古伏羲时期的讹误.考证了古文献九九歌的不同版本之差别以及宋元时期统一的歌诀句式,并介绍了九九歌的社会影响及其在日本传播的情况.Based upon textual research on ancient mathematics of China, this thesis reveals the ＂99＂ multiplication tableshould be summarized on the basis ofdecimal counting system and algorithmin the Yin-Shang Dynasty. As a result, it can be certified that ＂99＂ multiplication table was formed during the Western Zhou Dynasty, which further correets the prevalent misconception that itwas formedduring Spring and Autumn Period. Textual researches on the different versions of the＂99＂ multiplication table and its rhymed formulas sentence during Song and Yuan Dynasties are made, and the social impactand dissemination of the＂99＂ multiplication tablein Japan are also introduced.

关 键 词：九九歌 殷商 西周 春秋 里耶秦简 孙子算经 

分 类 号：O121.5[理学—数学]