《代微积拾级》的主要内容研究

Analysis on the main contents of Dai Wei Ji Shi Ji

基于李善兰和伟烈亚力合译著作《代微积拾级》原始文献内容的分析和讨论,为研究19世纪末西方数学传播史提供文献支持。译著的主要内容有解析几何、微分学和积分学。通过内史研究,结果得出解析几何、微分学和积分学是第一次系统地在我国传播,首次从内史角度对其中的解析几何、微分学和积分学进行比较分析。结论得出《代微积拾级》的翻译出版是在中国传统数学的影响下与对西方数学半符号化的接受的历史条件下的产物。《代微积拾级》首次引进了西方分析学的内容体系,并使中国传统数学的发展更具有科学性和系统性。

This research analyzes and discusses the main contents of the original document of the Dai Wei Ji Shi Ji translated by Li Shanlan and Alexander Wylie, which provides documentation for the spread of Western Mathematics of the 19th century. The book mainly contains analytic geometry, differential and integral calcu- lus. Through its historical research, it finds that analytic geometry, differential and integral calculus spread in China and have analytic geometry, differential and integral calculus compared and analyzed from the perspec- tive in the history for the first time. A conclusion that the translation and publication of Dai Wei Ji Shi Ji is a product of the lower half of Western mathematics symbolic acceptance of historical conditions under the influ- ence of Chinese traditional mathematics. Dai Wei system for the first time, and made the traditional Ji Shi Ji introduced western analytics mathematics contents Chinese mathematics more scientific and systematic.