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2010 Fiscal Year Final Research Report

History of Mathematics from the viewpoint of Mathematics

Research Project

  • PDF
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
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
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).

  • Research Products

    (9 results)

All 2010 2009 2008

All Journal Article (3 results) (of which Peer Reviewed: 2 results) Presentation (5 results) Book (1 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

    • 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

    • 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

  • [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
  • [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
  • [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
    • Year and Date
      20090831-20090904
  • [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
    • Year and Date
      20090511-20090513
  • [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
  • [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
    • Total Pages
      126-136
    • Publisher
      朝倉書店

URL: 

Published: 2012-01-26   Modified: 2016-04-21  

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