Research on the History of Mathematics

数学史研究

• 批准号: 11640143
• 负责人: TAKENOUCHI Osamu
• 金额: $ 1.92万
• 依托单位: Osaka International University
• 依托单位国家: 日本
• 项目类别: Grant-in-Aid for Scientific Research (C)
• 财政年份: 1999
• 资助国家: 日本
• 起止时间: 1999 至 2000
• 项目状态: 已结题
• 来源: https://kaken.nii.ac.jp/grant/KAKENHI-PROJECT-11640143/
• 关键词: History of Mathematics; Wasan; Seki Takakazu; Takebe Katahiro; Taisei Sankei; Probability Theory; 塵劫記; 明治期の数学教育; 確率過程

We made research from diverse points of view.One important thing to have done is to have begun the work to estimate how great Seki Takakazu was as a mathematician. Seki is the most notable figure in mathematics in the Edo period, and the Collected Works of Seki Takakazu is published. But Taisei Sankei is not included in this Collected Works. According to our opinion, Taisei Sankei must be the real figure of his research, which was made jointly with his highest disciples Takebe brothers. It is very voluminous, and though we began to study this, we are thinking that we will need a lot of time to finish our study, maybe several years. Taisei Sankei is not a published book, but several copies were made by the hand of his successive disciples, and among those copies, we notice many errors. So our first thing to do is to correct these errors, and make a strict text. We have already found out new points hitherto unknown. One is about his theory of determinants. Along with this work about Seki … More Takakazu, we also think to have clearer image about Takebe Katahiro.About the theory of determinants, Tanaka Yoshizane, a contemporary with Seki, was found to have made a brilliant research.In the first period of Meiji era, in the educational side, Wasan was no longer the subject to be taught, but occidental modern mathematics was introduced. This drastic change had been a great success so that we are now in the world top level in mathematics. How was the education of mathematics made in this period? Several foreign professors were invited to give the education, among them was J.Perry who gave lectures in Koubu University which became later the Faculty of Engineering of Tokyo University. Also at the end of Tokugawa Shogunate, there were military schools in which already some modern mathematics were taught and which was succeeded as the military school of new era.Japan is now famous in the study of probability theory, Ito Kiyoshi is one of the highest name in this domain. But about the state of the development of the research of stochastic processes is not well clarified yet. The study about the first period of the research from the end of 19^<th> century till the first tears of 20^<th> century was made, and works of the eminent scholars of Italy and France were exalted. Less

我们从不同的角度进行了研究。要做的一件重要的事情是已经开始的工作，以估计如何伟大关高和是一个数学家。关是江户时代数学界最著名的人物，并出版了《关高和文集》。但大成产经并不包括在这本文集。我们认为，大成产经应该是其研究的真实的人物，是与其最高弟子武部兄弟共同研究的。这是非常庞大的，虽然我们开始研究这一点，我们认为，我们将需要很多时间来完成我们的研究，也许几年。《大成产经》不是一本出版的书，但有几本是由他的后继弟子们亲手制作的，在这些副本中，我们注意到许多错误。因此，我们首先要做的就是纠正这些错误，并制定严格的文本。我们已经发现了迄今为止所不知道的新的要点。一个是关于他的决定因素理论。沿着这部关于关的作品 ...更多信息 关于行列式的理论，田中义真，一个当代关，被发现做了辉煌的研究。在明治时代的第一个时期，在教育方面，和三不再是要教的主题，但西方现代数学被引入。这一巨大的变化取得了巨大的成功，使我们现在处于世界数学的最高水平。这一时期的数学教育是如何进行的？几位外国教授被邀请给予教育，其中包括J.佩里谁给讲座，在嘉留大学，后来成为工程学院的东京大学。此外，在德川幕府末期，有军事学校，其中已经有一些现代数学教授，并成功地作为新时代的军事学校。日本现在是著名的概率论研究，伊藤清是最高的名字在这一领域之一。但关于随机过程研究的发展状况，目前还没有很好的阐明。对19世纪末<th>至20世纪初的第一个时期<th>的研究进行了梳理，并对意大利和法国著名学者的著作进行了评价。少

项目成果

Ando Hiromi: "The foundation of the History of Mathematics in Meiji Period"Human Science, Momoyama Gakuin Univ.. vol.19. 1-89 (2000)

安藤博美：“明治时期数学史的基础”人类科学，桃山学院大学.第19卷。

Hida Takeyuki: "Complexity in White Noise Analysis"Quantum Information. II. 61-70 (2000)

飞驒武之：“白噪声分析的复杂性”量子信息。

竹之内脩: "和算における行列式について"大阪国際大学研究論義. 13巻2号. 33-50 (1999)

竹内修：《论和山的行列式》大阪国际大学研究杂志，第 13 卷，第 2 期，33-50（1999 年）。

竹之内脩: "和算における行列式について"大阪国際大学紀要 国際研究論叢. 13. 33-50 (1999)

Osamu Takenouchi：“论和山的决定因素”大阪国际大学通报国际研究系列。13. 33-50 (1999)

Komatsu Hikosaburo: "The Position of "Taisei Sankei""SUT Bulletin, Science University of Tokyo. 56-59 (2000)

小松彦三郎：““大成三经”的立场”SUT 公告，东京理科大学。