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2012 Fiscal Year Final Research Report

Mathematical Exchange between Eastern Asia and Japan at the Early Modern Age

Research Project

  • PDF
Project/Area Number 22500962
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field Sociology/History of science and technology
Research InstitutionOsaka Kyoiku University

Principal Investigator

JOCHI Shigeru  大阪教育大学, 国際センター, 教授 (00571283)

Research Collaborator 劉 伯雯  台湾・国立高雄第一科技大学, 応用日語系, 准教授
張 澔  台湾・義守大学, 通識教育中心, 准教授
Project Period (FY) 2010 – 2012
Keywords数学史 / 江戸時代 / 和算 / 南北中国数学 / 珠算 / 籌 / 算木
Research Abstract

Japanese mathematicians at the Edo period studied both of northern Chinese mathematics and southern Chinese mathematics. The people of different hierarchies, however, learned two types of mathematics. The gentlemen or rich farmers learned southern Chinese mathematics, and handled business of the village. Therefore they studied “abacus mathematics” of southern Chinese civilization for operating addition, subtraction, multiplication and division operation after in the latter half of the Edo period.On the other hand, Samurai medical doctor and samurai military scholars studied astronomy of northern Chinese civilization and western mathematics. Through our studies of mathematical arts in the 19th century, we can know that the people of different hierarchies learned two types of mathematics.

  • Research Products

    (10 results)

All 2012 2011 2010 Other

All Journal Article (3 results) Presentation (5 results) Book (1 results) Remarks (1 results)

  • [Journal Article] 『三才発秘』(陳〓、1697年)と「阿蘭陀符帳」-Napier's Bonesの日本伝来

    • Author(s)
      城地茂、LIU Bowen、CHANG Hao
    • Journal Title

      (京都大学)数理解析研究所講究録

      Volume: 1787 Pages: 105-115

  • [Journal Article] 宋元明代数学書と「阿蘭陀符帳」-蘇州号碼の日本伝来

    • Author(s)
      城地茂、LIU Bowen、CHANG Hao
    • Journal Title

      (京都大学)数理解析研究所講究録

      Volume: 1739 Pages: 128-137

  • [Journal Article] 関孝和の実母・湯浅家の研究-安藤家の『泰翁様御代高崎江戸給人帳』『万治元(1658)年江戸高崎給帳

    • Author(s)
      城地茂
    • Journal Title

      (京都大学)数理解析研究所講究録

      Volume: 1677 Pages: 27-36

  • [Presentation] 日本國際協力機構對非洲數學教育支援及數學史研究的應用2012

    • Author(s)
      城地茂
    • Organizer
      城市與科學:統計實務〓數學教學國際研討會
    • Place of Presentation
      台北市立教育大学
    • Year and Date
      20121200
  • [Presentation] 「格子乗算の東伝と西遷」2012

    • Author(s)
      城地茂
    • Organizer
      日本科学史学会年会
    • Place of Presentation
      三重大学
    • Year and Date
      20120500
  • [Presentation] 「阿蘭陀符帳の日本伝来」2011

    • Author(s)
      城地茂
    • Organizer
      日本科学史学会年会
    • Place of Presentation
      東京大学
    • Year and Date
      20110500
  • [Presentation] The Solving Higher Degree Equation Method in the 13th Century in China Influenced on Japanese Mathematics in the 17th Century2010

    • Author(s)
      JOCHI Shigeru
    • Organizer
      International Conference on Chinese History of Science and its Interaction with Other Civilization
    • Place of Presentation
      National Beijing Science Museum, Beijing China
    • Year and Date
      20101100
  • [Presentation] The Movement of the Observation Center in the Eastern Han Dynasty, China2010

    • Author(s)
      JOCHI Shigeru
    • Organizer
      Proceedings of the Seventh International Conference on Oriental Astronomy
    • Place of Presentation
      National Astronomical Observatory of Japan.
    • Year and Date
      20100900
  • [Book] 中国数学対日本関孝和学派影響(ISBN 978-957-786-705-6)2012

    • Author(s)
      LIU Bowen、城地茂
    • Publisher
      致良出版社
  • [Remarks] 日本数学史・天文学史

    • URL

      http://www.osaka-kyoiku.ac.jp/~jochi/

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Published: 2014-08-29   Modified: 2015-10-15  

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