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Seki, Founder of Modern Mathematics in Japan

A Commemoration on His Tercentenary

  • Conference proceedings
  • © 2013

Overview

Editors:
  1. Eberhard Knobloch

    1. Technische Universität Berlin, Berlin, Germany

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  2. Hikosaburo Komatsu

    1. The University of Tokyo, Meguro-ku, Japan

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  3. Dun Liu

    1. Institute for the History of Natural, Beijing, China, People's Republic

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Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 39)

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Table of contents (35 papers)

  1. Front Matter

    Pages i-xxvi
    Download chapter PDF

  2. Contributed papers

    1. Front Matter

      Pages 1-1
      Download chapter PDF

    2. Seki Takakazu, His Life and Bibliography

      • Hideyuki Majima
      Pages 3-20

    3. Some Reflections on Main Lines of Mathematical Development

      • Wenlin Li
      Pages 21-30

    4. Babylonian Number Theory and Trigonometric Functions: Trigonometric Table and Pythagorean Triples in the Mathematical Tablet Plimpton 322

      • Kazuo Muroi
      Pages 31-47

    5. Archimedes in China: Archimedes and His Works in Chinese Literature of the Ming and Qing Dynasties

      • Dun Liu
      Pages 49-62

    6. The Nine Chapters on the Mathematical Procedures and Liu Hui’s Mathematical Theory

      • Shuchun Guo
      Pages 63-88

    7. On the Alternative Algorithm of the 7th Problem in the Sea Island Mathematical Canon

      • Hideki Kawahara
      Pages 89-92

    8. A Comparative Study on Traditional Mathematics of Korea and Japan

      • Yong-Woon Kim
      Pages 93-104

    9. The Axes of Mathematical Methodology in the Song and Yuan Dynasties: The Construction of Mathematical Models

      • Shirong Guo
      Pages 105-117

    10. The Suanxue Qimeng and Its Influence on Japanese Mathematics

      • Mitsuo Morimoto
      Pages 119-132

    11. Power Series Expansions in India Around A. D. 1400

      • Setsuro Ikeyama
      Pages 133-147

    12. An Early Japanese Work on Chinese Mathematics in Vietnam: Yoshio Mikami’s Study of the Vietnamese Mathematical Treatise Chi Minh Toan Phap

      • Alexei Volkov
      Pages 149-172

    13. The Jinkōki of Yoshida Mitsuyoshi

      • Ken’ichi Sato
      Pages 173-186

    14. Résumé of Works on Mathematics of Seki Takakazu

      • Osamu Takenouchi
      Pages 187-192

    15. Seki Takakazu’s Measuring Process of the Volume of Solids Derived from Spheres

      • Toshio Sugimoto
      Pages 193-206

    16. Seki Takakazu’s Method on the Remainder Problem

      • Sumie Tanabe
      Pages 207-218

    17. Seki Takakazu’s Method of Calculating the Volume of Solids of Revolution and His Mathematical Object

      • Fumiaki Ozaki
      Pages 219-228

    18. Leibniz’s Theory of Elimination and Determinants

      • Eberhard Knobloch
      Pages 229-244

    19. Algebra, Elimination and the Complete Book of Mathematics

      • Hikosaburo Komatsu
      Pages 245-274
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About this book

Seki was a Japanese mathematician in the seventeenth century known for his outstanding achievements, including the elimination theory of systems of algebraic equations, which preceded the works of Étienne Bézout and Leonhard Euler by 80 years. Seki was a contemporary of Isaac Newton and Gottfried Wilhelm Leibniz, although there was apparently no direct interaction between them.

The Mathematical Society of Japan and the History of Mathematics Society of Japan hosted the International Conference on History of Mathematics in Commemoration of the 300th Posthumous Anniversary of Seki in 2008. This book is the official record of the conference and includes supplements of collated texts of Seki's original writings with notes in English on these texts.

Hikosaburo Komatsu (Professor emeritus, The University of Tokyo), one of the editors, is known for partial differential equations and hyperfunction theory, and for his study on the history of Japanese mathematics. He served as the President of the International Congress of Mathematicians Kyoto 1990.

Reviews

“This is a valuable book with good contributions to the field of history of mathematics. Specialists interested in the life and mathematical contributions of Seki will of course benefit from it, but interested readers will benefit from it also.” (Toke Knudsen, MAA Reviews, May, 2015)

Editors and Affiliations

  • Technische Universität Berlin, Berlin, Germany

    Eberhard Knobloch

  • The University of Tokyo, Meguro-ku, Japan

    Hikosaburo Komatsu

  • Institute for the History of Natural, Beijing, China, People's Republic

    Dun Liu

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