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History of Japanese Mathematics

日本数学史

基本信息

批准号：
18F17786
负责人：
小川束
金额：
$ 0.32万
依托单位：
Yokkaichi University
依托单位国家：
日本
项目类别：
Grant-in-Aid for JSPS Fellows
财政年份：
2018
资助国家：
日本
起止时间：
2018-07-25 至 2019-03-31
项目状态：
已结题

来源：
https://kaken.nii.ac.jp/en/grant/KAKENHI-PROJECT-18F17786/
关键词：
Taisei Sankei Seki Takakazu Takebe Katahiro Takebe Kataakira abacus sangaku

项目摘要

1. The Taisei Sankei written by Seki Takakazu and his pupils Takebe Katahiro and Takebe Kataakira is one of the greatest books in late 17the century. It consist of 20 volumes. In this research we investigated the volume 2 in collaboration with Dr Mitsuo Morimoto and translated it into modern English. It will be published in the journal SCIAMVS after correcting some errors.2. The translation requires basic knowledge of abacus because the volume 2 corrects many methods for calculation using abacus. We wrote, therefore, an article "Elementary Soroban Arithmetic Techniques in Edo Period Japan" for foreign scholars and teachers. It was accepted by the online journal Convergence of Mathematical Association of America (MAA).3. We were planning dedication sangaku to a shrine in Tokyo, but abandoned our work because Dr Rosalie Hosking had to go back home earlier than planned due to take care of a family. The purpose is to promote and increase awareness internationally and nationally of the Japanese Edo Period mathematical tradition (wasan). The custom of donating sangaku in Edo period is a rare phenomenon found only in Japan. By watching new sangaku, even Japanese people who hardly understand cultural or historical significance of sangaku will recognize that their ancestor had a keen interest in mathematics. Separately from that, she created a new sangaku mathematical tablet including problems by foreign historians on mathematics. It was dedicated to the Kitano Tenmangu Shrine in Kyoto. The sangaku we planned would be similar to it.

1.关孝和及其弟子武部片广、武部片章的《大成产经》是17世纪末最伟大的著作之一。共20卷。在这项研究中，我们与森本光夫博士合作研究了第二卷，并将其翻译成现代英语。修正部分错误后将发表在SCIAMVS杂志上。翻译需要珠算的基本知识，因为第二卷纠正了许多使用珠算计算的方法。因此，我们为外国学者和教师撰写了一篇文章“日本江户时代的初级Soroban算术技术”。它被美国数学协会（MAA）的在线期刊Convergence所接受。我们计划在东京的一个神社奉献sangaku，但放弃了我们的工作，因为博士罗莎莉霍斯金不得不回家早于计划，由于照顾一个家庭。其目的是促进和提高国际和国内对日本江户时代数学传统（wasan）的认识。江户时代的捐山货习俗是日本特有的罕见现象。通过观察新的sangaku，即使是不了解sangaku文化或历史意义的日本人也会认识到他们的祖先对数学有着浓厚的兴趣。除此之外，她还制作了一个新的三学数学平板电脑，其中包括外国历史学家的数学问题。这是献给北野天满宫在京都。我们计划的三鹤会和它相似。