岭南数学家凌步芳算稿及书版的新发现
|
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.
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.
引文
[1]李俨.中算史论丛(第三集)[M].北京:科学出版社,1955.489.
2李迪.中国算学书目汇编[M].北京:北京师范大学出版社,200.239-240.
3郭书春.中国科学技术典籍通汇·数学卷[M].郑州:河南教育出版社,1993.1501-1543.
4(清)凌步芳.衍粟布衍草[M].百砚斋刻本,光绪二十八年(1902年).
5(清)凌步芳.杜德美割圆捷术通义(百砚斋卷首自序)[M].百砚斋刻本,光绪二十八年(1902年).
6李迪.中国算学书目汇编[M].北京:北京师范大学出版社,2000.393.
7陈建华.广州大典(第377册)[M].广州:广州出版社,2015.421-506.
8黄国声.广东马冈女子刻书考索[J].文献,1998(2):266-270.
9吴裕宾.我国第一部借贷计算论著---《粟布算草》[J].中国科技史料,1992(4):14-23.
10邵玮.金陵刻经处经版的管理与保护研究[D].河南大学硕士学位论文,2013:1.
2李迪.中国算学书目汇编[M].北京:北京师范大学出版社,200.239-240.
3郭书春.中国科学技术典籍通汇·数学卷[M].郑州:河南教育出版社,1993.1501-1543.
4(清)凌步芳.衍粟布衍草[M].百砚斋刻本,光绪二十八年(1902年).
5(清)凌步芳.杜德美割圆捷术通义(百砚斋卷首自序)[M].百砚斋刻本,光绪二十八年(1902年).
6李迪.中国算学书目汇编[M].北京:北京师范大学出版社,2000.393.
7陈建华.广州大典(第377册)[M].广州:广州出版社,2015.421-506.
8黄国声.广东马冈女子刻书考索[J].文献,1998(2):266-270.
9吴裕宾.我国第一部借贷计算论著---《粟布算草》[J].中国科技史料,1992(4):14-23.
10邵玮.金陵刻经处经版的管理与保护研究[D].河南大学硕士学位论文,2013:1.