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ファイル | 記述 | サイズ | フォーマット | |
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B50-12.pdf | 3.13 MB | Adobe PDF | 見る/開く |
タイトル: | 『数書九章』と『括要算法』 (数学史の研究) |
その他のタイトル: | The Mathematical Treatise in Nine Chapters and the Compendium of Mathematics (Study of the History of Mathematics) |
著者: | 田辺, 寿美枝 |
著者名の別形: | Tanabe, Sumie |
発行日: | Jun-2014 |
出版者: | Research Institute for Mathematical Sciences, Kyoto University |
誌名: | 数理解析研究所講究録別冊 |
巻: | B50 |
開始ページ: | 181 |
終了ページ: | 191 |
抄録: | It is known that a simultaneous congruences of the first degree which will be henceforth called a remainder problem, first appeared in the Sunzi' s Arithmetical Canon [Sunzi Suanjing] (c.AD400). Later in China, remainder problems were discussed in many books, and some of these Chinese books were introduced into Japan by the seventeenth century. The eminent Japanese mathematician Seki Takakazu(c.1642?-1708) investigated remainder problems adopting the term "the art of cutting bamboo[jianguan shu, Senkan-jutsu] " which is found in the Chinese book, Yang Hui 's Arts on Arithmetic[Yanghui Suanfa] (1275) by Yang Hui. Seki had certainly consulted the Chinese book, but Seki' s method is much more advanced than Yang Hui' s. Seki generalized the theory on the remainder problem and showed the procedure for the solution systematically. The aim of this paper is to compare the remainder problems Seki presented in Compendium of Mathematics with those of Chinese books, especially with those of the Mathematical Treatise in Nine Chapters[Shushu Jiuzhang] (1247) by Qin Jiushao. |
記述: | "Study of the History of Mathematics". August 27~30, 2012. edited by Tsukane Ogawa. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
著作権等: | © 2014 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
URI: | http://hdl.handle.net/2433/232881 |
出現コレクション: | B50 Study of the History of Mathematics |
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