History of Japanese Mathematics

1. 由高津关和他的学生片广武部和片明武部撰写的《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，我们与森本光夫博士合作调查了第二卷，并将其翻译成现代英语。修正部分错误后，将在SCIAMVS期刊上发表。翻译需要基本的算盘知识，因为第二卷纠正了许多使用算盘计算的方法。因此，我们为外国学者和教师写了一篇文章《江户时代日本小坂算术的基本技巧》。它被美国数学协会（MAA）的在线期刊《收敛》（Convergence of Mathematical Association of America）接受。我们原本计划在东京的神社献上祭品，但由于罗莎莉·霍斯金博士要照顾家人，不得不提前回家，所以放弃了工作。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。在江户时代，捐赠sangaku的习俗是只有日本才有的罕见现象。即使是不了解学艺的文化和历史意义的日本人，也会通过观看新学艺，认识到他们的祖先对数学有着浓厚的兴趣。此外，她还制作了包含外国历史学家关于数学的问题的新数学碑。它被供奉在京都的北野天满宫。我们计划的sangaku和它差不多。

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.