| Project/Area Number |
18F17786
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| Research Category |
Grant-in-Aid for JSPS Fellows
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| Allocation Type | Single-year Grants |
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| Section | 外国 |
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| Research Field |
Foundations of mathematics/Applied mathematics
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| Research Institution | Yokkaichi University |
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Principal Investigator |
小川 束 四日市大学, 環境情報学部, 教授 (90204081)
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| Co-Investigator(Kenkyū-buntansha) |
HOSKING ROSALIE 四日市大学, 関孝和数学研究所, 外国人特別研究員
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| Project Period (FY) |
2018-07-25 – 2019-03-31
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| Project Status |
Completed (Fiscal Year 2018)
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| Budget Amount *help |
¥500,000 (Direct Cost: ¥500,000)
Fiscal Year 2018: ¥500,000 (Direct Cost: ¥500,000)
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| Keywords | Taisei Sankei / Seki Takakazu / Takebe Katahiro / Takebe Kataakira / abacus / sangaku |
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| Outline of Annual Research Achievements |
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.
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| Research Progress Status |
平成30年度が最終年度であるため、記入しない。
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| Strategy for Future Research Activity |
平成30年度が最終年度であるため、記入しない。
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