Research of the History of Mathematics

我们考察了江户时代巨匠数学家高津关和武部捷弘的重要著作，即《探索细微点的数学方法》和《阐明细微符号的数学方法》。这些著作可以看作是这一时期真正的数学研究的开端。《初三宝》（1673）是为了回答泽口和之在《Kokon-Sampoki》中提出的15个问题而写的。为了给出这些问题的答案，他开发了一种新的方法，称为Tengenjutsu-Boshoho，尽管它在十年后才被明确提出。田中吉赞在他的《三保-明治》（1678）中也谈到了同样的问题。《剑基三宝》是武部的第一部作品。它是池田正树在《sugaku - jojoo - orai》（1674年）中提出的49个问题的解答。在这里，提供解决方案的主要工具是Tengenjutsu-Boshoho。在《初三宝》和《健基三宝》中，更多的描述都太短了，也许没有人能理解这些书中所讲的内容。因此，后来在1687年，武部武部写了《初三浦运算系列口语化评论》，给出了得到最终答案的精确程序。武部在给初三宝，剑基三宝做口语化解说的时候，仍然有一些困难要知道怎么做。为此，《口语化评论》再次存在，但由谁以及何时完成尚不清楚。在本文的研究中，我们对这两本书及其《口语化注释》进行了深入的考察。由于还没有解释书籍内容的手册，所以我们出版了具体解释这些书籍的书籍。我们也认为，在日本闭关自守的江户时代研究数学是我们的重要任务。我们还出版了《武部捷弘数学著作选集》，让大家了解武部捷弘的作品。全球。少

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