摘要
在中国数学史上明安图是无穷级数运算的奠基人,他也是世界数学史上从事级数反演的早期研究者。本文用计数理论的观点分析他进行级数反演过程中所提出和应用的两种计数结构,认为虽然以前的数学文献中尚未发现有关论述,但并不排斥这两种结构成为新研究课题的可能。
Ming Antu(1692?—1763?),the outstanding Mongolian scient-ist,laid a foundation for the operation of infinite series in the history ofmathematics in China.At the same time,he was one of the earlest math-ematicians in the world who studied the inversion of infinite series.Thispaper analyses the two counting structures which Ming Antu put forwardand used in the process of the inversion of infinite series(in his bookEfficient Methods for the Precise Value Circular Function,1839).Theidea is represented that although the relevent materials have not been foundin the previous mathematical literature,these two structures may become anew research subject.
出处
《内蒙古师范大学学报（自然科学汉文版）》
CAS
1992年第3期91-102,共12页
Journal of Inner Mongolia Normal University(Natural Science Edition)
关键词
数学史
明安图
无穷级数
计数理论
the history of mathematics
mathematician Min Antu
infinite series
inversion
counting theory
recurrence
odd & even factorials
odd & even combination
