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このアイテムのファイル:
| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| B71-09.pdf | 4.07 MB | Adobe PDF | 見る/開く |
| タイトル: | 『九章算術』(1世紀)「開不尽法｣と会田安明『算法零約術』 (19世紀） (数学史の研究) |
| その他のタイトル: | The Open Square Method of $Jiuzhang$ $Suanshu$ (1st Century) and $Sanpo$ $Reiyaku-jutsu$ (Yasuaki Aida, 19th Century) (The study of the history of mathematics 2017) |
| 著者: | 城地, 茂  劉, 伯 |
| 著者名の別形: | Jochi, Shigeru Liu, Bowen |
| キーワード: | 01A27 01A55 $Sanpo$ $Reiyaku-jutsu$ Yasuaki Aida $Jiuzhang$ $Suanshu$ the open square method, "mian" |
| 発行日: | Dec-2018 |
| 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: | B71 |
| 開始ページ: | 129 |
| 終了ページ: | 136 |
| 抄録: | Yasuaki AIDA, the founder of Saijo-ryu mathematical school, studied the irrational numbers, then he found that the quotients are circulates by the Euclidean algorithm. Then he calculated more accurate numbers in the chapter "Kon" of Sanpo Reiyaku-jutsu. The author analyzed the original text of Sanpo Reiyaku‐jutsu, then studied the origin of Aida's computation. It is perhaps the open square method of the Jiuzhang Suanshu in the first century in China. Chinese mathematicians computed the approximate value of irrational numbers by "mian". If the "mian" (面) were; x2 ("mian") = a (2_{X1} +X2) Japanese mathematicians, Yasuaki Aida, would have the suggestions from this formulae. |
| 記述: | "The study of the history of mathematics 2017". September 19-22, 2017. edited by Shigeru Jochi. The papers presented in this volume of RIMS Kôkyûroku Bessatsu are in final form and refereed. |
| 著作権等: | © 2018 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved. |
| URI: | http://hdl.handle.net/2433/244728 |
| 出現コレクション: | B71 The study of the history of mathematics 2017 |
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