『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)

• 城地, 茂

  大阪教育大学グローバルセンター

• 劉, 伯

  國立高雄科技大学応用日語系

書誌事項

タイトル別名

• 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)

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.

"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.

収録刊行物

• 数理解析研究所講究録別冊

  数理解析研究所講究録別冊 B71 129-136, 2018-12

  Research Institute for Mathematical Sciences, Kyoto University

キーワード

• 01A27
• 01A55
• $Sanpo$ $Reiyaku-jutsu$
• Yasuaki Aida
• $Jiuzhang$ $Suanshu$
• the open square method, "mian"

詳細情報

• CRID: 1050282813851380096
• NII論文ID: 120006766064
• NII書誌ID: AA12196120
• ISSN: 18816193
• HANDLE: 2433/244728
• 本文言語コード: ja
• 資料種別: departmental bulletin paper
• データソース種別:
  • IRDB
  • CiNii Articles