History of Japanese Mathematics

1.由Seki Takakazu和他的学生Takebe Katahiro、Takebe Kataakira所著的《大成产经》是17世纪末最伟大的著作之一。它由20卷组成。在这项研究中，我们与森本光雄博士合作调查了第二卷，并将其翻译成现代英语。在纠正了一些错误之后，它将发表在SCIAMVS杂志上。翻译需要基本的算盘知识，因为第二卷更正了许多使用算盘进行计算的方法。为此，我们为外国学者和教师撰写了一篇名为《江户时代日本初级索罗班算术》的文章。该研究已被美国数学协会(MAA)在线期刊《汇聚》接受。我们原计划在东京的一座神社供奉神社，但由于罗莎莉·霍斯金博士因照顾家庭而不得不提前回家，因此放弃了我们的工作。其目的是在国际和国内促进和提高对日本江户时期数学传统(和善)的认识。江户时代捐献桑加库的习俗是一种罕见的现象，只有在日本才有。通过观看新的行宫，即使是几乎不了解行宫的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，她还创造了一个新的数学平板，里面收录了外国历史学家关于数学的问题。它是供奉于京都的北野天目宫的。我们计划的桑加库将与之类似。

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.