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History of Mathematics from the viewpoint of Mathematics

Research Project

Project/Area Number 20540107
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeSingle-year Grants
Section一般
Research Field General mathematics (including Probability theory/Statistical mathematics)
Research InstitutionThe University of Tokyo

Principal Investigator

KOMATSU Hikosaburo  The University of Tokyo, 大学院・数理科学研究科, 名誉教授 (40011473)

Co-Investigator(Kenkyū-buntansha) SHIMIDU Katsuhiko  東京理科大学, 理学部, 教授 (00192609)
Project Period (FY) 2008 – 2010
Project Status Completed (Fiscal Year 2010)
Budget Amount *help
¥4,550,000 (Direct Cost: ¥3,500,000、Indirect Cost: ¥1,050,000)
Fiscal Year 2010: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥2,860,000 (Direct Cost: ¥2,200,000、Indirect Cost: ¥660,000)
Keywords数学史 / 和算 / 関孝和 / 19世紀の解析学 / フーリエ / ヘヴィサイド / 関孝和三百祭記念数学史国際会議 / 田中由真 / 井関知辰 / 戸板保佑 / ケルビン卿 / 地球の年齢問題 / ペリーとヘヴィサイド / 関孝和三百年祭数学史国際会議 / 関孝和三百年祭 / 数学史国際会議 / 建部賢弘 / ケルヴイン方程式解の一意性
Research Abstract

During this period most of our efforts were dedicated to the organization of the International Conference on History of Mathematics in Memory of Seki Takakazu (1642? ? 1708) held in Tokyo on August 25?31, 2008. Our own contributions were focused on Seki's theory of eliminations of unknowns of simultaneous algebraic equations (1683) and its later developments by Japanese mathematicians.
On the other hand, we have succeeded in finding new ways to solve the telecommunication equations by W. Thomson (1855) and those by Heaviside (1887).

Report

(4 results)
  • 2010 Annual Research Report   Final Research Report ( PDF )
  • 2009 Annual Research Report
  • 2008 Annual Research Report
  • Research Products

    (16 results)

All 2010 2009 2008

All Journal Article (6 results) (of which Peer Reviewed: 5 results) Presentation (8 results) Book (2 results)

  • [Journal Article] The abstract Fatou theorem and the signal transmission on Thomson cables2010

    • Author(s)
      小松彦三郎
    • Journal Title

      Hokkaido Mathematical Journal 38

      Pages: 157-171

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] Heaviside's theory of signal transmission on submarine cables, Linear and non-linear theory of generalized functions and its applications2010

    • Author(s)
      小松彦三郎
    • Journal Title

      Banach Center Publications 88

      Pages: 150-173

    • Related Report
      2010 Final Research Report
    • Peer Reviewed
  • [Journal Article] The abstract Fatou theorem and the signal transmission on Thomson cables2010

    • Author(s)
      Hikosaburo Komatsu
    • Journal Title

      Hokkaido Mathematical Journal

      Volume: 39 Pages: 157-171

    • Related Report
      2010 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Heaviside theory of signal transmission on submarine cables2010

    • Author(s)
      Hikosaburo Komatsu
    • Journal Title

      Banach Center Publications 88

      Pages: 150-172

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The abstract Fatou theorem and the signal transmission on the Thomson cables2010

    • Author(s)
      Hikosaburo Komatsu
    • Journal Title

      Hokkaido Mathematical Journal 39

      Pages: 157-171

    • Related Report
      2009 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 関東の消長法と関西の冪乗演段2008

    • Author(s)
      小松彦三郎
    • Journal Title

      「数学史の研究」,京都大学数理解析研究所講究録 1583

      Pages: 19-38

    • Related Report
      2010 Final Research Report
  • [Presentation] 「算学紛解」の消去理論2010

    • Author(s)
      小松彦三郎,田中由真著
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      名古屋大学東山キャンパス
    • Year and Date
      2010-09-22
    • Related Report
      2010 Final Research Report
  • [Presentation] 田中由真著『算学紛解』の消去理論2010

    • Author(s)
      小松彦三郎
    • Organizer
      日本数学会秋季総合分科会
    • Place of Presentation
      名古屋大学東山キャンパス
    • Year and Date
      2010-09-22
    • Related Report
      2010 Annual Research Report
  • [Presentation] 『解伏題之法』の不幸な歴史2010

    • Author(s)
      小松彦三郎
    • Organizer
      RIMS研究集会「数学史の研究」
    • Place of Presentation
      京都大学数理解析研究所
    • Year and Date
      2010-08-23
    • Related Report
      2010 Annual Research Report 2010 Final Research Report
  • [Presentation] Geometry of Seki Takakazu and Takebe brothers with the use of result ants2009

    • Author(s)
      Hikosaburo Komatsu
    • Organizer
      Internat.Conf.on Mathematics Mechanization
    • Place of Presentation
      Academy of Math. & System Sci., Beijing, China
    • Year and Date
      2009-05-11
    • Related Report
      2009 Annual Research Report
  • [Presentation] The abstract Fatou theorem and the signal transmission on Thomson cables2009

    • Author(s)
      小松彦三郎
    • Organizer
      Internat.Conference on Generalized Functions GF2009
    • Place of Presentation
      Wien
    • Related Report
      2010 Final Research Report
  • [Presentation] Geometry of Seki Takakazu (1642?--1708) and Takebe brothers with the use of Resultants2009

    • Author(s)
      小松彦三郎
    • Organizer
      Inaugural Lecture at International Conference on Mathematical Mechanization (ICMM'09) in honor of Professor Wen-Tsun Wu's Ninetieth Birthday, Academy of Mathematics and Systems Science
    • Place of Presentation
      Beijing, China
    • Related Report
      2010 Final Research Report
  • [Presentation] Algebra, Elimination Theory and "Complete Books of Mathematics大成算経2008

    • Author(s)
      小松彦三郎
    • Organizer
      関孝和三百年祭記念数学史国際会議
    • Place of Presentation
      東京理科大学神楽坂1号館記念講堂(招待講演)
    • Year and Date
      2008-08-26
    • Related Report
      2010 Final Research Report
  • [Presentation] Algebra,elimimation theory and"Complete Books of Mathematics大成算経"2008

    • Author(s)
      小松彦三郎
    • Organizer
      関孝和三百年祭記念数学史国際会議
    • Place of Presentation
      東京理科大学神楽坂1号館記念講堂
    • Year and Date
      2008-08-26
    • Related Report
      2008 Annual Research Report
  • [Book] 和算の事典(佐藤健一監修)(解伏題之法・交式斜乗)2009

    • Author(s)
      小松彦三郎
    • Publisher
      朝倉書店
    • Related Report
      2010 Final Research Report
  • [Book] 和算の事典2009

    • Author(s)
      佐藤健一 監修
    • Total Pages
      532
    • Publisher
      朝倉書店
    • Related Report
      2009 Annual Research Report

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Published: 2008-04-01   Modified: 2016-04-21  

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