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Research of the History of Mathematics

数学史研究

基本信息

批准号：
13640144
负责人：
TAKENOUCHI Osamu
金额：
$ 1.79万
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：
2001
资助国家：
日本
起止时间：
2001 至 2004
项目状态：
已结题

项目摘要

We investigated the important works of gigantic mathematician Seki Takakazu and Takebe Katahiro of Edo period, namely about Hatsubi-Sampo (Mathematical Methods for Exploring Subtle Points) of Seki, and Kenki-Sampo (Mathematical Methods for Clarifying Slight Signs) of Takebe. These works may be regarded as the opening of the real study of mathematics in this period.Hatsubi-Sampo (1673) was written to give answers to the 15 problems proposed by Sawaguchi Kazuyuki in his Kokon-Sampoki. For the aim to give answers to these problems, he exploited a new method called Tengenjutsu-Boshoho, though it was explicitly given only ten years later. The same problems were also treated by Tanaka Yoshizane in his Sampo-meikai (1678).Kenki-Sampo was the first work of Takebe. It was written to give the solutions of 49 problems given by Ikeda-Masaoki in his Sugaku-Jojo-Orai (1674). Here again, main tools to give solutions were the Tengenjutsu-Boshoho.Both in Hatsubi-Sampo and in Kenki-Sampo, the descriptio … More ns were too short, and perhaps no one could arrive at the understanding of what was given in these books. So, later in 1687, Takebe wrote Hatsubi-Sampo Endan-Genkai (The Colloquial Commentary on the Series of Operations in Hatsubi-Sampo) to give precise procedures to get the final answers. While Takebe gave this Colloquial Commentary for the Hatsubi-Sampo, for the Kenki-Sampo, there still were left the difficulties to know how to do. For this, again the Colloquial Commentary exists, but by whom and when was this done is not known yet.In our present research, we investigate these two books and their Colloquial Commentaries deeply. As the manuals explaining the contents of the books do not exist yet, we publish books to give concrete interpretations of these books.We also consider that it is our important task to present the mathematics studied in the Edo period while the Japan was shut to other world. And we have published "Selected Mathematical Works of Takebe Katahiro" to let know the works of Takebe. worldwide. Less

我们研究了江户时代的数学巨匠关孝和和武部片广的重要著作，即关的Hatsubi-Sampo（探索微妙点的数学方法）和武部的Kenki-Sampo（澄清轻微符号的数学方法）。这些作品可以被视为开启了真实的研究数学在这一时期。初鼻，桑普（1673年）写的答案提出的15个问题，由泽口和之在他的Kokon-Sampoki。为了解决这些问题，他开发了一种名为Tengenjutus-Boshoho的新方法，尽管它在十年后才被明确给出。田中义真在他的《参保明会》（1678）中也处理了同样的问题。《见纪参保》是武部的第一部作品。这是写给解决49个问题的池田正兴在他的Sugaku-Jojo-奥赖（1674）。在这里，给出解决方案的主要工具是天元珠-宝胜宝。在初歧三浦和健基三浦， ...更多信息这些书太短了，也许没有人能理解这些书中的内容。因此，在1687年晚些时候，武部撰写了《初鼻三浦远丹玄会》（The Colloquial Commentary on the Series of Operations in Hatsubi-Sampo），给出了获得最终答案的精确程序。虽然武部给了这个口语评论的初笛，桑普，为健己桑普，仍然有左的困难知道如何做。为此，《说文解字》也存在，但《说文解字》是何人所作，何时所作，尚不得而知。由于目前还没有解释这些书籍内容的手册，我们出版了一些书籍，对这些书籍进行具体的解释。我们还认为，介绍日本在江户时代与其他世界隔绝时所研究的数学是我们的重要任务。我们出版了《武部片广数学著作选编》，让大家了解武部的著作。国际吧少