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

2005 Fiscal Year Final Research Report Summary

Study of History of Mathematics, in particular, of Japanese Mathematics in early Edo Period and of Analysis in the Nineteenth Century

Research Project

Project/Area Number 16540119
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 InstitutionTokyo University of Science

Principal Investigator

KOMATSU Hikosaburo  Tokyo Univ.of Sci., Fac.of Sci.I, Professor, 理学部第一部, 教授 (40011473)

Co-Investigator(Kenkyū-buntansha) WATANABE Junsei  Tokyo Gakugei Univ., Fac.of Pedag., Assistant, 教育学部, 助手 (10262221)
Project Period (FY) 2004 – 2005
KeywordsJapanese Mathematics in the Edo Period / Seki Takakazu / Trilogy of Seki / Complete Books of Mathematics / Fourier's Theory of Heat / Scientific Documents in Manchu / Euclid / Anatomy
Research Abstract

The first step of the historical study is to read extant documents correctly. When they remain only in manuscripts, one has to collate available texts and reconstruct the original. Its importance is well recognized in the fields of Mathematics in the Edo Period and Science in Manchu in the Qing Dynasty, which are the investigators' main subjects. When the editors of the organ journal Kagakusi Kenkyu of the History of Science Society of Japan rejected the paper [1] by Komatsu et al. in 2002, one of the reasons they gave was that the paper cited "Collected Works of Seki Takakazu" which has no collation notes. Yet we do not think even an article in the "Collected Works" has ever been collated in any publications.
The main achievements of Komatsu are : first, to have collated Seki's Trilogy, "Methods of Solving Explicit Problems," "Methods of Solving Implicit Problems" and "Method of Solving Concealed Problems" and thus reconstructed the Text by Yamaji Nusizumi [2],[5] ; secondly, to have collated and interpreted about half of the twenty volumes of "Complete Books of Mathematics" by Seki and Takebe brothers. The collated texts of the eighth, nineth and tenth volumes are printed in the Final Report.
Moreover, he has shown that Fourier not only formulated his Expansion Theorem and Integrall Theorem but also proved them in his "Analytic Theory of Heat" [6].
Watanabe has studied Manchu manuscripts "suwan fa yuwan ben bithe", which is a part of "Elements," and "ge ti ciowan lu bithe," which is a book of medicine and anatomy, Romanized and translated them into English and Japanese. These may be the first substantial study in the world on these texts [7], [8].

  • Research Products

    (19 results)

All 2006 2005 2004

All Journal Article (19 results)

  • [Journal Article] Did Fourier prove his expansion theorems ?2006

    • Author(s)
      Hikosaburo Komatsu
    • Journal Title

      津田塾大学数学・計算機科学研究所報 27

      Pages: 1-10

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] 満州語における自然科学述語について2006

    • Author(s)
      渡辺純成
    • Journal Title

      アルタイ語研究 1

      Pages: 66-108

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Did Fourier prove his expansion theorems?2006

    • Author(s)
      Hikosaburo Komatsu
    • Journal Title

      16th Symposium on the History of Mathematics (2005), Sugaku-Keisankikagaku Kenkyusho Ho, Tsuda College 27

      Pages: 1-10

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] 關孝和著『三部抄』山路主住本の復元2005

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

      数理解析研究所講究録 1444

      Pages: 169-202

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] 満州語医学書『格体全録』について2005

    • Author(s)
      渡辺純成
    • Journal Title

      満族史研究 4

      Pages: 22-113

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] 満州語資料からみた「幾何」の語源について2005

    • Author(s)
      渡辺純成
    • Journal Title

      数理解析研究所講究録 1444

      Pages: 34-42

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] A Machu manuscript on arithmetic owned by Toyo Bunko "suwan fa yuwan ben bithe"2005

    • Author(s)
      Junsei Watanabe
    • Journal Title

      SCIAMVS 6

      Pages: 177-246

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Reconstruction of Yamaji Nusizumi's edition of Trilogy written by Seki Takakazu2005

    • Author(s)
      Hikosaburo Komatsu
    • Journal Title

      Surikaisekikenkyusho Kokyuroku (in Japanese) 1444

      Pages: 169-202

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] The medical book "ge ti ciowan lu bithe" in Manchu2005

    • Author(s)
      Watanabe Junsei
    • Journal Title

      Manzokushi (in Japanese) 4

      Pages: 22-113

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] A Manchu manuscript on arithmetic owned by Toyo Bunko "suwan fa yuwan be bithe"2005

    • Author(s)
      Junsei Watanabe
    • Journal Title

      SCIAMVS 6

      Pages: 177-264

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] 17世紀日本と18-19世紀西洋の行列式、終結式及び判別式2004

    • Author(s)
      後藤武史, 小松彦三郎
    • Journal Title

      数理解析研究所講究録 1392

      Pages: 117-129

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] 『解伏題之法』山路主住本の復元と「關孝和全集」との比較2004

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

      数理解析研究所講究録 1392

      Pages: 225-245

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] あとがき2004

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

      数理解析研究所講究録 1392

      Pages: 246-248

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] マクスウェルのマクスウェル理論2004

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

      科学 75・3

      Pages: 344

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] 満州語のユークリッド-東洋文庫所蔵の満文『算法原本』について2004

    • Author(s)
      渡辺純成
    • Journal Title

      満族史研究 3

      Pages: 40-90

    • Description
      「研究成果報告書概要(和文)」より
  • [Journal Article] Determinants, resultants and discriminants in Japan in the seventeenth century and in Europe in the eighteenth and nineteenth centuries2004

    • Author(s)
      Takehumi Goto, Hikosaburo Komatsu
    • Journal Title

      Surikaisekikenkyusho Kokyuroku (in Japanese) 1392

      Pages: 117-129

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Reconstruction of Yamaji Nusizumi's edition of "Methods of Solving Concealed Problems"2004

    • Author(s)
      Hikosaburo Komatsu
    • Journal Title

      Surikaisekikenkyusho Kokyuroku (in Japanese) 1392

      Pages: 225-245

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] A postscript2004

    • Author(s)
      Hikosaburo Komatsu
    • Journal Title

      Surikaisekikenkyusho Kokyuroku (in Japanese) 1392

      Pages: 246-248

    • Description
      「研究成果報告書概要(欧文)」より
  • [Journal Article] Maxwell's theory by Maxwell2004

    • Author(s)
      Hikosaburo Komatsu
    • Journal Title

      Kagaku (in Japanese) 75-3

      Pages: 344

    • Description
      「研究成果報告書概要(欧文)」より

URL: 

Published: 2007-12-13  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi