Some Remarks on the approximate calculation of Pi by SEKI Takakazu and TAKEBE Katahiro : on the occasion of the 314th anniversary of SEKI Takakazu (Study of the History of Mathematics 2022)

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Bibliographic Information

Other Title
  • 関孝和と建部賢弘の円周率の近似計算についての注意 : 関孝和314年祭に寄せて

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Description

To activate the study on the history of Mathematics in Japan, the author proposed to organize some memorial events for the year 2022, the 314th year after his death of SEKI Takakazu(?-1708), the 300th anniversary of TAKEBE Katahiro’s “Tetsujjutsu-Sankei”, and so on. In this time, we give some remarks on the approximate calculation of Pi by SEKI Takakazu and TAKEBE Katahiro. We also mention the work of KAMATA Yoshikiyo on the same problem. , especially he gave the length of circumscribed. polygon with it of inscribed polygon. We claim that Seki and Takebe used better method giving lower and upper bounds of Pi than Kamata did. In this point of view, we criticize some observation on given by hisitorian on science about mathematicians of Edo era. of Japan. From this episode, we learn a lesson on mathematics education: maticians should give explanation easy to nderstand on their works to the society and mathematics education should be done iin a reasonable way n the society.

Journal

  • RIMS Kokyuroku Bessatsu

    RIMS Kokyuroku Bessatsu B92 167-180, 2023-07

    Research Institute for Mathematical Sciences, Kyoto University

Keywords

Details 詳細情報について

  • CRID
    1050297272079686528
  • NII Book ID
    AA12196120
  • HANDLE
    2433/284821
  • ISSN
    18816193
  • Text Lang
    ja
  • Article Type
    departmental bulletin paper
  • Data Source
    • IRDB

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