和算家的累约术
Indefinite Problem in Wasan
0
조회
0
다운로드
0
인용
0
참고문헌
키워드
초록
以和算家的累裁招差法为例， 通过探讨和算家的问题来源， 及其处理这些问题时与中算家的不同方法和态度， 说明中日两国数学家在数学创造方面的一些异同之处。和算作为继承并发展中国古代数学的一个标本， 对于深刻理解机械化的程序算法体系的数学传统， 是有益处的。
Abstract
Japanese mathematics, namely Wasan, was well-developed before the Meiji period. Takebe Katahiro (1664–1739)and Nakane Genkei (1662–1733) , among a great number of mathematicians in Wasan, maybe the most famous ones. Taking Takebe and Nakane’s indefinite problems as examples, the similarities and differences are made between Wasan and Chinese mathematics. According to investigating the sources and attitudes to these problems which both Japanese and Chinese mathematicians dealt with, the paper tries to show how and why Japanese mathematicians accepted Chinese tradition and beyond. As a typical sample of the succession of Chinese tradition,Wasan will help people to understand the real meaning of Chinese tradition deeper.
참고문헌 (9)
- 华罗庚, "从祖冲之的圆周率谈起, In 华罗庚科普著作选集", pp.47~80 (1984), 上海 教育出版社
- 李继闵, "“通其率”考释, 中国数学 史论文集(1)", pp.24~36 (1985), 山东教育出版社
- 日本学士院, "明治前日本数学史(2)", pp.310~318 (1979), 临川 书店
- 曲 安京, "中国历法与数学", pp.74~91 (2005), 科学出版社
- 曲安京, "和算对中算的继承与创新—以关孝和的內插法为例", 한국수학사학회지, 26(4), pp.219~232 (2013), 한국수학사학회
- The Method of Successive Divisions, "Takebe Katahiro", Tohoku University Library, ~
- Tamotsu Tsuchikura, "The Method of Successive Divisions by Takebe Katahiro and Nakane Genkei, In Seki, Founder of Modern Mathematics in Japan", pp.343~352 (2013), Springer
- 土倉保, "東洋数学史への招待藤原松三郎数学史論文集", pp.21~30 (2007), 東北大学出版会
- Wu Wentsun, "Mathematics Mechanization", pp.1~66 (2000), Kluwer Academic Publishers