《同文算指》中高次方程数值解法部分编纂再探  

FURTHER EXPLORATION ON THE COMPILATION OF NUMERICALSOLUTIONS FOR HIGHER ORDER EQUATIONS IN TONG WEN SUAN ZHI

作　　者：杨欣童 Yang Xintong(School of Humanities,Tsinghua University,100084,Beijing,China)

机构地区：[1]清华大学人文学院,北京100084

出　　处：《山东师范大学学报（自然科学版）》2023年第2期129-135,共7页Journal of Shandong Normal University(Natural Science)

摘　　要：李之藻《同文算指》一书第十七部分“广诸乘方法”内容的来源问题在数学史界一直是个热门话题,已有研究指出其来自德国数学家施蒂菲尔《整数算术》一书第一章第五节的内容.这个结论存在明显问题,很值得商榷.为了解决这个问题,本文全面比较了上述两部分内容,并仔细分析了与之有关联的克拉维乌斯的《实用几何》一书.结果发现“广诸乘方法”的内容与《实用几何》第六章第十九节内容有很多地方相似,特别是在数据标注和书写形式方面,李之藻在编纂《同文算指》的时候应也部分收集或参照了《实用几何》中的一些内容.这一结果推进了关于《同文算指》和李之藻的相关研究,可为明末清初西方数学传入我国的相关研究提供参考.The source of the content of"Guang Zhu Cheng Fang Fa"in Part XVII of Li Zhizao′s book titled Tong Wen Suan Zhi has always been a hot topic in the history of mathematics.It has been pointed out that it comes from the content of Section 5,Chapter 1 of German mathematician Stifel′s book titled Arithmatica Integra.This conclusion is obvious problematic and is worth discussing.In order to solve this problem,the author comprehensively compared the two parts mentioned above and carefully analyzed the book Geometria practica by Clavius,which is related to it.It was found that the content of"Guang Zhu Cheng Fang Fa"is similar to the content of Chapter 6,Section 19 of Geometria practica in many aspects,especially in terms of data annotation and writing form,Li Zhizao should have also partially collected or referenced some content from Geometria practica when compiling Tong Wen Suan Zhi.This result has promoted the relevant research on Tong Wen Suan Zhi and Li Zhizao,and can provide reference for the relevant research on the introduction of Western mathematical knowledge into China in the late Ming and early Qing dynasties.

关 键 词：同文算指 李之藻 开方 高次方程 

分 类 号：O112[理学—数学]