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:
- 金额:$ 2.24万
- 依托单位:
- 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
- 来源:
- 关键词:
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存文献。当它们只存在于手稿中时,人们必须整理现有的文本并重建原文。其重要性在江户时代的数学和清代的满文科学领域得到了充分的认识,这些领域是研究者的主要研究领域。日本科学史学会期刊《Kagakusi Kenkyu》的编辑在2002年拒绝Komatsu et al.的论文b[1]时,他们给出的理由之一是该论文引用了没有校订注释的《Seki Takakazu文集》。然而,我们认为《文集》中的任何一篇文章都没有被任何出版物整理过。小松的主要成就有:一是整理了关氏三部曲《显题解法》《隐题解法》《隐题解法》,从而重构了山次真泉的文本[2],[5];第二,整理和解释了关、武部两兄弟所著的《数学全集》二十卷中的一半左右。第八卷、第九卷和第十卷的校勘案文载于《最后报告》。此外,他还表明傅里叶不仅表述了他的展开定理和积分定理,而且在他的《热解析论》中证明了它们。渡边研究了《要素》中的满文手稿《素万法育万本》,以及医学和解剖学书籍《医医医医》,将它们罗马化并翻译成英语和日语。这可能是世界上第一个关于这些文本的实质性研究。
项目成果
期刊论文数量(37)
专著数量(0)
科研奖励数量(0)
会议论文数量(0)
专利数量(0)
Maxwell's theory by Maxwell
麦克斯韦理论 麦克斯韦
- DOI:
- 发表时间:2004
- 期刊:
- 影响因子:0
- 作者:後藤武史;小松彦三郎;小松彦三郎;Hikosaburo Komatsu
- 通讯作者:Hikosaburo Komatsu
17世紀日本と18-19世紀西洋の行列式、終結式及び判別式
17世纪日本和18-19世纪西方国家的行列式、最终公式和判别式
- DOI:
- 发表时间:2004
- 期刊:
- 影响因子:0
- 作者:後藤武史;小松彦三郎
- 通讯作者:小松彦三郎
『解伏題之法』山路主住本の復元と「關孝和全集」との比較
山路主十本《海风台之法》的修复及与《勘高和全集》的比较
- DOI:
- 发表时间:2004
- 期刊:
- 影响因子:0
- 作者:Masao Hara;Seiichi Tani;Makoto Yamamoto;Masahiro Shioya;小松彦三郎
- 通讯作者:小松彦三郎
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KOMATSU Hikosaburo其他文献
KOMATSU Hikosaburo的其他文献
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{{ truncateString('KOMATSU Hikosaburo', 18)}}的其他基金
The Study of the History of mathematics as a Branch of Mathematics
数学作为数学分支的史研究
- 批准号:
23540124 - 财政年份:2011
- 资助金额:
$ 2.24万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
History of Mathematics from the viewpoint of Mathematics
从数学的角度看数学史
- 批准号:
20540107 - 财政年份:2008
- 资助金额:
$ 2.24万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
Functional and Real Analysis for Partial Differential Equations
偏微分方程的泛函分析和实分析
- 批准号:
09440069 - 财政年份:1997
- 资助金额:
$ 2.24万 - 项目类别:
Grant-in-Aid for Scientific Research (B)
Comprehensive Study of Functional and Real Analysis
泛函分析和实分析的综合研究
- 批准号:
07304014 - 财政年份:1995
- 资助金额:
$ 2.24万 - 项目类别:
Grant-in-Aid for Scientific Research (A)
Microlocal Analysis of Differential Equations
微分方程的微观局部分析
- 批准号:
03452007 - 财政年份:1991
- 资助金额:
$ 2.24万 - 项目类别:
Grant-in-Aid for General Scientific Research (B)
相似海外基金
Wasan and its Mathematical Astronomy Studies; Seki Takakazu and his Successors
和山及其数理天文学研究;
- 批准号:
21K00250 - 财政年份:2021
- 资助金额:
$ 2.24万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
Study on the mathematics which TAKEBE brothers learned from SEKI Takakazu and the development
TAKEBE兄弟向SEKI Takakazu学习的数学及其发展研究
- 批准号:
23540126 - 财政年份:2011
- 资助金额:
$ 2.24万 - 项目类别:
Grant-in-Aid for Scientific Research (C)
Reevaluation of the Mathematics of SEKI Takakazu
对SEKI Takakazu数学的重新评价
- 批准号:
17300285 - 财政年份:2005
- 资助金额:
$ 2.24万 - 项目类别:
Grant-in-Aid for Scientific Research (B)