• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

A Comprehensive Study on Durer's Mathematics

Research Project

Project/Area Number 21500977
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 InstitutionKobe University

Principal Investigator

MIURA Nobuo  神戸大学, 大学院・国際文化学研究科, 教授 (20219588)

Project Period (FY) 2009 – 2011
Project Status Completed (Fiscal Year 2011)
Budget Amount *help
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2009: ¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Keywords数学史 / デューラー / ルネサンス / 科学器具 / デユーフー
Research Abstract

I investigate the origin of the mathematical contents of the Institutiones geometricae of Albrecht Durer in the contexts of Greek, Arabic and Latin mathematics. I show the reception of the book in readers and the situation of the contemporary learning, comparing both editions. I focus upon the scientific instruments and the mathematical works cited in Durer's book. The influence of the book upon China shows that the book was world-wide, however I noticed the limitation of the book in the contemporary mathematical world. Last I show the usefulness of the book for the mathematical education in these days.

Report

(4 results)
  • 2011 Annual Research Report   Final Research Report ( PDF )
  • 2010 Annual Research Report
  • 2009 Annual Research Report
  • Research Products

    (15 results)

All 2012 2011 2009

All Journal Article (4 results) (of which Peer Reviewed: 1 results) Presentation (7 results) Book (4 results)

  • [Journal Article] 楕円を描く-ルネサンスとアラビアにおける『完全コンパス』の伝統,九州大学数学史シンポジウム講演集2012

    • Author(s)
      三浦伸夫
    • Journal Title

      九州大学

      Pages: 19-43

    • Related Report
      2011 Final Research Report
  • [Journal Article] アラビアにおける重さの学の伝統2012

    • Author(s)
      三浦伸夫
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: 1739号 Pages: 19-43

    • Related Report
      2011 Final Research Report
    • Peer Reviewed
  • [Journal Article] 楕円を描く---ルネサンスとアラビアにおける「完全コンパス」の伝統2012

    • Author(s)
      三浦伸夫
    • Journal Title

      九州数学史シンポジウム講演記録集

      Pages: 19-43

    • Related Report
      2011 Annual Research Report
  • [Journal Article] イタリアの科学2011

    • Author(s)
      三浦伸夫
    • Journal Title

      イタリア文化協会『イタリア文化事典』丸善

      Pages: 612-617

    • Related Report
      2011 Annual Research Report
  • [Presentation] コウルソンの数学2012

    • Author(s)
      三浦伸夫
    • Organizer
      第2回九州大学数学史セミナー
    • Place of Presentation
      九州大学理学院
    • Year and Date
      2012-02-22
    • Related Report
      2011 Final Research Report
  • [Presentation] パチョーリの代数学2011

    • Author(s)
      三浦伸夫
    • Organizer
      「数学史の研究」集会
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2011-08-23
    • Related Report
      2011 Final Research Report
  • [Presentation] パチョーリの代数学-手稿から刊本へ2011

    • Author(s)
      三浦伸夫
    • Organizer
      数学史の研究集会
    • Place of Presentation
      京都大学数理科学研究所
    • Year and Date
      2011-08-23
    • Related Report
      2011 Annual Research Report
  • [Presentation] ルネサンスにおける楕円2011

    • Author(s)
      三浦伸夫
    • Organizer
      九州大学数学史セミナー
    • Place of Presentation
      九州大学理学院
    • Year and Date
      2011-02-15
    • Related Report
      2011 Final Research Report
  • [Presentation] 完全コンパスの伝統2011

    • Author(s)
      三浦伸夫
    • Organizer
      九州数学史研究集会
    • Place of Presentation
      九州大学
    • Year and Date
      2011-02-15
    • Related Report
      2010 Annual Research Report
  • [Presentation] The Comparative Studies on the Discoveries and Demonstrations in the Eighteenth-century Mathematics in E ast and West2009

    • Author(s)
      三浦伸夫
    • Organizer
      第23回国際科学史学会
    • Place of Presentation
      ブタペシュト工科大学
    • Year and Date
      2009-08-01
    • Related Report
      2011 Final Research Report
  • [Presentation] The Comparative Studies on the Discoveries and Demonstrations in the Eighteenth-century Mathematics in East and West2009

    • Author(s)
      三浦伸夫
    • Organizer
      国際科学史学会
    • Place of Presentation
      ブダペシュト工科大学(ハンガリー)
    • Year and Date
      2009-08-01
    • Related Report
      2009 Annual Research Report
  • [Book] 数学史2012

    • Author(s)
      三浦伸夫
    • Total Pages
      247
    • Publisher
      放送大学教育振興会出版部
    • Related Report
      2011 Final Research Report
  • [Book] 古代エジプトの数学問題を解いてみる2012

    • Author(s)
      三浦伸夫
    • Total Pages
      143
    • Publisher
      NHK出版
    • Related Report
      2011 Final Research Report
  • [Book] イタリア文化事典2011

    • Author(s)
      三浦伸夫, 他145名
    • Total Pages
      899
    • Publisher
      丸善出版
    • Related Report
      2011 Final Research Report
  • [Book] 文系のための線形代数・微分積分2011

    • Author(s)
      岡部恒治, 鈴木俊夫, 新田義彦, 三浦伸夫
    • Total Pages
      151
    • Publisher
      実教出版
    • Related Report
      2011 Final Research Report

URL: 

Published: 2009-04-01   Modified: 2016-04-21  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi