代数布式 天元开方——卡尔达诺公式在晚清的境遇  

Building Equations by Algebra but Solving them by Tianyuanshu:A Study on the Dissemination of the Cardano's Formula in the Late Qing

作　　者：高红成[1] GAO Hongcheng(School of Mathematics, Tianjin Normal University, Tianjin 300387, Chin)

机构地区：[1]天津师范大学数学科学学院,天津300387

出　　处：《自然科学史研究》2016年第3期273-284,共12页Studies in The History of Natural Sciences

基　　金：国家自然科学基金(项目编号:11001199)

摘　　要：卡尔达诺公式由译本《代数术》(1873)传入中国,引起了晚清数学家的关注,它与中国传统数学中的天元术和开方术发生了互动。晚清数学家探讨了卡尔达诺公式的立术之原,企图用开方术"消解"三次方程不可约情形,并把它纳入自编的代数学教材。他们将卡尔达诺公式放在自己的知识结构中讨论、理解,在认识到符号代数优越性的同时,也为保留传统开方术找到了理由。这些有特色的工作很大程度是由他们自身的知识构成决定的。The earliest introduction of Cardano＇s formula into China was through the work Daishushu （代数术） in 1873. It aroused the attention of traditional Chinese mathematicians in the Late Qing, resulting interactions with Kaifangshu and Tianyuanshu techniques of traditional Chinese mathematics. Chinese mathematicians studied its origin, and wanted to ＂eliminate＂ the irreducible case of cubic function by means of Kaifangshu , and assimilated it into their algebra textbooks. They selected and incorporated Western mathematics on the basis of their own composition of knowledge. Though they realized the superiority of symbolic algebra, at the same time they found reasons for retaining Kaifangshu.

关 键 词：《代数术》 卡尔达诺公式 传播 知识构成 

分 类 号：O112[理学—数学]