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Research on the History of Mathematics

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
项目状态:
已结题
起止时间:
1999 至 2000

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中文摘要
翻译
我们从不同的角度进行了研究。我们要做的一件重要的事情就是开始评估作为一名数学家的Seki Takakazu有多伟大。Seki是江户时代最著名的数学人物,出版了《Seki Takakazu文集》。但《大成产经》没有收录在这部文集中。根据我们的看法,产经泰成一定是他与他的最高弟子武部兄弟共同研究的真实人物。它非常庞大,虽然我们开始研究这一点,但我们认为我们需要很多时间来完成我们的研究,可能需要几年时间。《大成产经》并不是一本出版的书,但他的后人亲手复制了几本,在这些副本中,我们注意到许多错误。所以我们要做的第一件事就是纠正这些错误,并做一个严格的文本。我们已经发现了迄今未知的新观点。一个是关于他的决定因素理论。与这部关于Seki…的作品一起在行列式理论方面,与关城同时代的田中吉赞被发现有了辉煌的研究。在明治时代的第一个时期,在教育方面,和三不再是教授的对象,而是引进了西方的现代数学。这一巨大的变化取得了巨大的成功,使我们现在在数学方面处于世界一流水平。这一时期的数学教育是如何形成的?几位外国教授应邀参加了这次教育,其中包括在口部大学讲学的J·佩里,口部大学后来成为东京大学的工程学系。同样在德川幕府末期,也有一些军事学校已经教授了一些现代数学,并被继承为新时代的军事学校。日本现在在概率论研究方面是著名的,伊藤清吉是这一领域的最高名字之一。但关于随机过程研究的发展状况,目前还没有得到很好的阐明。对19世纪末至20世纪初这一研究的第一阶段进行了研究,并对意大利、法国著名学者的著作进行了推崇。较少
英文摘要
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
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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。
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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。
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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)。
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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)
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共 19 条
    Research on the History of Mathematics
    • 批准号:
      18540149
    • 项目类别:
      Grant-in-Aid for Scientific Research (C)
    • 资助金额:
      $2.3万
    • 财政年份:
      2006
    • 负责人:
      TAKENOUCHI Osamu
    • 依托单位:
    Research of the History of Mathematics
    • 批准号:
      13640144
    • 项目类别:
      Grant-in-Aid for Scientific Research (C)
    • 资助金额:
      $1.79万
    • 财政年份:
      2001
    • 负责人:
      TAKENOUCHI Osamu
    • 依托单位:
    An Integrated Study about the Interrelation between Computers and Mathematics Education
    • 批准号:
      04302066
    • 项目类别:
      Grant-in-Aid for Co-operative Research (A)
    • 资助金额:
      $2.3万
    • 财政年份:
      1992
    • 负责人:
      TAKENOUCHI Osamu
    • 依托单位:
    Research on Various Problems of Mathematics Education and Development of New Teaching Methods and Materials
    海外基金