Study of History of Mathematics, in particular, of Japanese Mathematics in early Edo Period and of Analysis in the Nineteenth Century

数学史研究，特别是江户时代初期的日本数学和19世纪的分析

基本信息

批准号：
16540119
负责人：
KOMATSU Hikosaburo
金额：
$ 2.24万
依托单位：
Tokyo University of Science
依托单位国家：
日本
项目类别：
Grant-in-Aid for Scientific Research (C)
财政年份：
2004
资助国家：
日本
起止时间：
2004 至 2005
项目状态：
已结题

项目摘要

The first step of the historical study is to read extant documents correctly. When they remain only in manuscripts, one has to collate available texts and reconstruct the original. Its importance is well recognized in the fields of Mathematics in the Edo Period and Science in Manchu in the Qing Dynasty, which are the investigators' main subjects. When the editors of the organ journal Kagakusi Kenkyu of the History of Science Society of Japan rejected the paper [1] by Komatsu et al. in 2002, one of the reasons they gave was that the paper cited "Collected Works of Seki Takakazu" which has no collation notes. Yet we do not think even an article in the "Collected Works" has ever been collated in any publications.The main achievements of Komatsu are : first, to have collated Seki's Trilogy, "Methods of Solving Explicit Problems," "Methods of Solving Implicit Problems" and "Method of Solving Concealed Problems" and thus reconstructed the Text by Yamaji Nusizumi [2],[5] ; secondly, to have collated and interpreted about half of the twenty volumes of "Complete Books of Mathematics" by Seki and Takebe brothers. The collated texts of the eighth, nineth and tenth volumes are printed in the Final Report.Moreover, he has shown that Fourier not only formulated his Expansion Theorem and Integrall Theorem but also proved them in his "Analytic Theory of Heat" [6].Watanabe has studied Manchu manuscripts "suwan fa yuwan ben bithe", which is a part of "Elements," and "ge ti ciowan lu bithe," which is a book of medicine and anatomy, Romanized and translated them into English and Japanese. These may be the first substantial study in the world on these texts [7], [8].

历史研究的第一步是正确阅读现有文档。当它们仅留在手稿中时，必须对可用的文本进行整理并重建原件。其重要性在清朝的Manchu的江户时代和科学领域中得到了广泛认可，这是研究人员的主要主题。当《管风琴杂志》的编辑日本科学学会史上的kagakusi kenkyu拒绝了Komatsu等人的论文[1]。在2002年，他们给出的原因之一是该论文引用了“ Seki Takakazu的收集作品”，该文件没有整理笔记。然而，我们也没有在任何出版物中都整理了“收集的作品”中的文章。科马图的主要成就是：首先，要使Seki的三部曲“解决明确问题”的方法，“解决隐性问题”的方法，“解决隐性问题”和“解决隐藏问题的方法”，从而通过yamaji nisizi nisizi nisizi nisizi nisizi nisizi nisizi nisizi nisizi nisizi nissizi nisizi nisizi nisizi nissizi nissizi nissizi nissizi nissizi nissizi nissizi nissizi nissizi nissizi nissizi nissizi nissizi nissizi nissizi [2]其次，在Seki和Takebe Brothers撰写的二十卷“完整的数学书籍”中，整理和解释了一半。 The collated texts of the eighth, nineth and tenth volumes are printed in the Final Report.Moreover, he has shown that Fourier not only formulated his Expansion Theorem and Integrall Theorem but also proved them in his "Analytic Theory of Heat" [6].Watanabe has studied Manchu manuscripts "suwan fa yuwan ben bithe", which is a part of "Elements," and "ge ti Ciowan lu Bithe，“这是一本医学和解剖学书，将其翻译成英语和日语。这些可能是世界上关于这些文本的首次实质研究[7]，[8]。