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Title: 『塵劫記』の商業問題と三率法 - 『算法統宗』, Epitome Arithmeticae Practicaeとの比較研究 (数学史の研究)
Other Titles: Commercial problem in the Jinko-ki and "Rule of three" : Comparative study with the Suanfa Tongzong and the Epitome Arithmeticae Practicae (The study of the history of mathematics 2017)
Authors: 曽我, 昇平  KAKEN_name
Author's alias: Soga, Shohei
Keywords: 01A27
Commercial problem
Suanfa tongzong
Epitome Arithmeticae Practicae
Issue Date: Dec-2018
Publisher: Research Institute for Mathematical Sciences, Kyoto University
Journal title: 数理解析研究所講究録別冊
Volume: B71
Start page: 93
End page: 112
Abstract: The Jinko-ki played the role important for development of mathematics in Japan., and many researches have also been done. However, since spirit of innovation is not observed in the contents of the Jinko-ki, the evaluation from a mathematics viewpoint is low. Rather, the Jinko-ki is evaluated highly in respect of cultural history, history of education, an economic history, etc. In research from this viewpoint, they make portions other than a solution applicable to consideration. Moreover, in the research from a mathematics viewpoint, the portion of a solution is not historical reading which is carrying out the interpretation which uses contemporary This paper aims at historical reading of the solution portion in the Jinko-ki. And I considered it as the object about the commercial problem in the Jinko-ki. This paper surveys and compares with the treatment of the Jinko-ki the treatment of the commercial problem in the China mathematics and Western mathematics which had big influence on the Jinko-ki formation. The commercial problem in the Jinko-ki specialized in the practical commercial problem, and the result became clear that it was a high mathematics document of convenience..
Description: "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.
Rights: © 2018 by the Research Institute for Mathematical Sciences, Kyoto University. All rights reserved.
Appears in Collections:B71 The study of the history of mathematics 2017

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