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

Research Project

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
Project Status Completed (Fiscal Year 2012)
Budget Amount *help
¥2,340,000 (Direct Cost: ¥1,800,000、Indirect Cost: ¥540,000)
Fiscal Year 2012: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Keywords数学史 / 江戸時代 / 和算 / 南北中国数学 / 珠算 / 籌 / 算木 / 科学技術史 / 東アジア / 国際交流 / 暦算 / 中国 / 関孝和 / 天文学史
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.

Report

(4 results)
  • 2012 Annual Research Report   Final Research Report ( PDF )
  • 2011 Annual Research Report
  • 2010 Annual Research Report
  • Research Products

    (40 results)

All 2012 2011 2010 Other

All Journal Article (7 results) (of which Peer Reviewed: 3 results) Presentation (15 results) (of which Invited: 1 results) Book (3 results) Remarks (15 results)

  • [Journal Article] 『三才発秘』(陳Wen、1697年)と「阿蘭陀符帳」 : Napier's Bonesの日本伝来2012

    • Author(s)
      城地茂
    • Journal Title

      数理解析研究所講究録

      Volume: 1789 Pages: 105-115

    • Related Report
      2012 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 宋元明代数学書と「阿蘭陀符帳」-蘇州号碼の日本伝来2011

    • Author(s)
      城地茂、劉伯〓、張〓
    • Journal Title

      (京都大学)数理解析研究所講究録

      Volume: 1739 Pages: 128-137

    • Related Report
      2011 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 国際化とダブル・ディグリー制度-台湾を中心として2011

    • Author(s)
      城地茂
    • Journal Title

      大阪教育大学国際センター年報

      Volume: 17 Pages: 15-20

    • Related Report
      2010 Annual Research Report
  • [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』2010

    • Author(s)
      城地茂
    • Journal Title

      (京都大学)数理解析研究所考究録

      Volume: 1677 Pages: 27-36

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [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

    • Related Report
      2012 Final Research Report
  • [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

    • Related Report
      2012 Final Research Report
  • [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

    • Related Report
      2012 Final Research Report
  • [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
    • Related Report
      2012 Final Research Report
  • [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
    • Related Report
      2012 Final Research Report
  • [Presentation] 格子乗算の東伝と西遷2012

    • Author(s)
      城地茂
    • Organizer
      第 59 回日本科学史学会年会
    • Place of Presentation
      三重大学
    • Related Report
      2012 Annual Research Report
  • [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:統計實務及數學教學國際研討會
    • Place of Presentation
      台湾・台北市立教育大学
    • Related Report
      2012 Annual Research Report
    • Invited
  • [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
    • Related Report
      2012 Final Research Report
  • [Presentation] 《周髀算経》的夏至之日〓与《数》第0304,0457竹簡2011

    • Author(s)
      城地茂・劉伯〓
    • Organizer
      (台湾・中央研究院)第九屆科学史研討会
    • Place of Presentation
      台北:中央研究院
    • Related Report
      2011 Annual Research Report
  • [Presentation] 「阿蘭陀符帳」の日本伝来2011

    • Author(s)
      城地茂
    • Organizer
      2011年度日本科学史学会第58回年会・総会
    • Place of Presentation
      東京:東京大学(駒場)
    • Related Report
      2011 Annual Research Report
  • [Presentation] The Right angle Triangle whose ratio is 5:12:13 since "Shu", "Zhoubi Suanjing" and "Jiuzhang Suanshu"2011

    • Author(s)
      JOCHI Shigaru(城地茂)
    • Organizer
      The 13th International Conference on the History of Science in East Asia
    • Place of Presentation
      中国合肥:中国科学技術大学
    • Related Report
      2011 Annual Research Report
  • [Presentation] 『三才発秘』(陳〓、1697年)と「阿蘭陀符帳」-Napier's Bonesの日本伝来2011

    • Author(s)
      城地茂、劉伯〓、張〓
    • Organizer
      京都大学数理解析研究所数学史集会
    • Place of Presentation
      京都:京都大学
    • Related Report
      2011 Annual Research Report
  • [Presentation] 日本算盤製作技術的保存2011

    • Author(s)
      劉伯〓、城地茂
    • Organizer
      2011海峡両岸科学与工芸遺産研討会
    • Place of Presentation
      台湾・高雄:義守大学
    • Related Report
      2011 Annual Research Report
  • [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
    • Related Report
      2012 Final Research Report
  • [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.
    • Related Report
      2012 Final Research Report
  • [Presentation] 明代数学書と「阿蘭陀符帳」-蘇州号碼の日本伝来2010

    • Author(s)
      城地茂・劉伯〓・張〓
    • Organizer
      京都大学数理解析研究所数学史集会
    • Place of Presentation
      京都大学数理解析研究所
    • Related Report
      2010 Annual Research Report
  • [Presentation] The "Movement" of "Observation Center" in the Eastern Han Dynasty, China2010

    • Author(s)
      Jochi Shigeru(城地茂)
    • Organizer
      International Conference on Oriental Astronomy VII
    • Place of Presentation
      国立天文台
    • Related Report
      2010 Annual Research Report
  • [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(城地茂)
    • Organizer
      International Conference on Chinese History of Science and Its Interaction with Other Civilization
    • Place of Presentation
      中国・北京科学技術館
    • Related Report
      2010 Annual Research Report
  • [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
    • Related Report
      2012 Final Research Report
  • [Book] Chinese Mathematics Influenced of Seki Takakazu's School (中国数学対日本関孝和学派影響) ISBN978-957-786-705-62012

    • Author(s)
      LIU Bowen, JOCHI Shigeru (eds.)
    • Total Pages
      62
    • Publisher
      Jillion Publishing (致良出版社)
    • Related Report
      2012 Annual Research Report
  • [Book] 藤田弘夫(編)東アジアにおけ舩共性の変容、日台の高速鉄道公共輸送の比較2010

    • Author(s)
      城地茂・劉伯〓
    • Publisher
      慶應大学出版会
    • Related Report
      2010 Annual Research Report
  • [Remarks] 日本数学史・天文学史

    • URL

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

    • Related Report
      2012 Final Research Report
  • [Remarks] 日本数学史・天文学史

    • URL

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

    • Related Report
      2012 Annual Research Report
  • [Remarks] 城地茂、劉伯〓、張〓(2011)「宋元明代数学書と「阿蘭陀符帳」-蘇州号碼の日本伝来」

    • URL

      http://ci.nii.ac.jp/naid/110008464093

    • Related Report
      2011 Annual Research Report
  • [Remarks] 城地茂・劉伯〓(2011)《周髀算経》的夏至之日〓与《数》第0304,0457竹簡

    • URL

      http://www4.isu.edu.tw/sites/chsas_taipei/presentation2.html

    • Related Report
      2011 Annual Research Report
  • [Remarks] 城地茂(2011)「「阿蘭陀符帳」の日本伝来」

    • URL

      http://wwwsoc.nii.ac.jp/jshs/soukai/2011/soukai2011-program.pdf

    • Related Report
      2011 Annual Research Report
  • [Remarks] JOCHI Shigaru(城地茂)(2011)"The Right angle Triangle whose ratio is 5:12:13 since "Shu", "Zhoubi Suanjing" and "Jiuzhang Suanshu""

    • URL

      http://isheastm.ihns.ac.cn/upload/announcement/The_13th_ICHSEA_first_circular.pdf

    • Related Report
      2011 Annual Research Report
  • [Remarks] 城地茂、劉伯〓、張〓(2011)「『三才発秘』(陳〓、1697年)と「阿蘭陀符帳」-Napier's Bonesの日本伝来」

    • URL

      http://www.kurims.kyoto-u.ac.jp/~kyodo/Program2011/program_takase.pdf

    • Related Report
      2011 Annual Research Report
  • [Remarks] 劉伯〓、城地茂(2011)「日本算盤製作技術的保存」

    • URL

      http://www4.isu.edu.tw/sites/chsas_taipei/cssth/doc/2011cssth_record.pdf

    • Related Report
      2011 Annual Research Report
  • [Remarks] 城地茂(2010.8)「関孝和の実母・湯浅家の研究」

    • URL

      http://ci.nii.ac.jp/naid/110007576862

    • Related Report
      2010 Annual Research Report
  • [Remarks]

    • URL

      http://www.osaka-kyoiku.ac.jp/~jochi/jochi2010ando.pdf

    • Related Report
      2010 Annual Research Report
  • [Remarks] 城地茂(2011.3)「国際化とダブル・ディグリー制度-台湾を中心として」

    • URL

      http://osaka-kyoiku.ac.jp/_file/isc/2011report.pdf

    • Related Report
      2010 Annual Research Report
  • [Remarks] 城地茂・劉伯〓・張〓(2010)「明代数学書と『阿蘭陀符帳」-蘇州号碼の日本伝来」

    • URL

      http://kurt.scitec.kobe-u.ac.jp/~fuchino/misc/kyoto10-08-24-program.doc

    • Related Report
      2010 Annual Research Report
  • [Remarks] Jochi Shigeru (2010.9) "The"Movement"of "Observation Center" in the Eastern Han Dynasty, China"

    • URL

      http://optik2.mtk.nao.ac.jp/~somamt/ICOA-website/AbstractBook.pdf

    • Related Report
      2010 Annual Research Report
  • [Remarks] Jochi Shigeru (2010.11) "The Solving Higher Degree Equation Method in the 13th Century in China Influenced on Japanese Mathematics in the 17th Century"

    • URL

      http://www.unesco.org/new/en/natural-sciences/science-technology/inftcus-science-policy/

    • Related Report
      2010 Annual Research Report
  • [Remarks] 城地茂・劉伯〓(2010)『東アジアにおける公共性の変容』(藤田弘夫(編))

    • URL

      http://www.ajup-net.com/bd/isbn978-4-7664-1745-6.html

    • Related Report
      2010 Annual Research Report

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Published: 2010-08-23   Modified: 2019-07-29  

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