岭南数学家凌步芳算稿及书版的新发现  

The Newly Discovered Mathematical Books by Mathematician Ling Bufang in Late Qing dynasty

作　　者：廖运章[1] LIAO Yunzhang(School of Mathematics & Information Science/Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Educcition Institutes, Guangzhou iniversily, Guangzhou 510006, China)

机构地区：[1]广州大学数学与信息科学学院,广州510006

出　　处：《中国科技史杂志》2019年第1期19-29,共11页The Chinese Journal for the History of Science and Technology

基　　金：2012年度教育部人文社科规划基金12YJA880074项目;<广州大典>与广州历史文化研究资金资助项目"邹伯奇与晚清(1811-1911)广州数学教育发展研究"(项目编号:2014GZY10)

摘　　要：依据新发现的史料《凌百砚斋算稿八种》及已刻三种古籍雕刻版片,系统考察晚清岭南重要的布衣数学家凌步芳的生平事迹,简述版片和书籍并存的《割圆捷术通义》《衍粟布衍草》《算学答问》书版的保存现状,并提出进一步研究与科学有效保护的建议,从一个侧面揭示凌步芳运用微积分研究三角函数的幂级数展开式、应用代数方法进行借贷计算(原本、利率、收回数)取得的数学成就,展现其运用微积分解决问题的思想和素朴的金融数学思想,彰显其对晚清传播微积分、代数学等西方数学所做出的贡献,并藉此强调数学古籍版片在科学史研究中的重要性。According to the newly discovered historical materials Eight Books of Mathematics from Ling BaiyanZhai( Ling Bai Yan ZhaiSuan Gao Ba Zhong,凌百砚斋算稿八种) and three kinds of ancient imprinted book engravings,the author systematically studies the life story of the important underclass mathematician in South China in Late Qing dynasty,Ling Bufang,and briefly introduces the current preservation situation of Introduction to the Cyclotomic Method( Ge Yuan Jie Shu Tong Yi,割圆捷术通义),Yan Su Bu Yan Gao,衍粟布衔草(此书名难以意译) and Questions and Answers on Mathematics( SuanXue Wen Da,算学问答),whose engravings and books co-existed. On the basis,the author puts forward suggestions on further research and on how to protect them scientifically and effectively. The mathematical achievements that Ling Bufang had made in using calculus to study power series expansion of trigonometric functions and applying algebraic methods for the calculation of debit and credit( principal,interest rate,principal plus profits) are showed.These reveal his ideas of using calculus to solve problems and his elementary thoughts of financial mathematics,which demonstrates his contributions to the communication of Western mathematics,such as calculus,algebra,etc.,in Late Qing dynasty. The author then hopes to stress on the importance of the ancient mathematics book engravings in study of the history of science.

关 键 词：凌步芳 凌百砚斋算稿八种 雕刻版片 微积分 杜氏九术 

分 类 号：N09201-09[自然科学总论—科学技术哲学]