《代数学》和《代数术》传入我国的无穷级数收敛问题

The Algebra(代数学) and Algebra(代数术)Issues Concerning Infinite Series Convergences Introduced into China

在清代无穷级数研究中,"降位"(即收敛速度)问题一直是难题。晚清译著《代数学》首先介绍了无穷级数的收敛问题,包括收敛概念和判别法等,另一译著《代数术》也对收敛速度颇有讨论。这两部译著中的相关内容得到了以丁取忠为代表的长沙数学学派的热烈回应,这反映了两部译著传入中国后的早期影响情况。

In the study of infinite series in the Qing Dynasty, the ＂down position＂, or the conver- gence rate, has been a tough problem for a long time. Late Qing Translation Algebra first introduced is- sues of the infinite series converges, including the concept of convergence and discrimination method. Another translation of Algebra further discusses it. These two translations of relevant contents elicited enthusiastic response from Changsha Mathematics School, which is represented by Ding Quzhong, which reflects the early effects of the two translations when they were introduced into China.