明安图计算无穷级数的方法分析  

A STUDY ON MING ANTU'S METHOD OF OPERATION OF INFINITE SERIES

作　　者：罗见今[1] 

机构地区：[1]内蒙古师范大学

出　　处：《自然科学史研究》1990年第3期197-207,共11页Studies in The History of Natural Sciences

摘　　要：明安图(1692?—1765?)是清代杰出的蒙古族数学家。本文据明安图《割圆密率捷法》(1839)第三卷第二十四至四十三页的内容,具体分析研究了他进行无穷级数运算的方法,将他的算法译成现在的数学语言,从而说明他在事实上己获得了本文中用公式所表示出的一系列成果,指出在中国数学史上明安图奠定了进行无穷级数运算的基础。Ming Antu (1692?—1765?) was an outstanding mathematician of the Qing Dynasty. His work Ge Yuan Mi Lu die Fa (Quick Method for Determining Segment Areas) was published in 1839. This paper, which is one of a series of studies on Ming's mathematical work, translates his algorithm into current mathematical language according to the content of pp. 24—43 in its Vol. Ⅲ. In fact, Ming had got a number of accomplishments which were expressed in formulas 6—17, 21, and 24—26. This paper shows that he laid a foundation for tackling infinite series in the history of mathematics in China.

关 键 词：无穷级数 明安图 方法分析 中国数学史 幂级数 数学方法 数学语言 计算 算法 级数展开式 

分 类 号：N09[自然科学总论—科学技术哲学]