• Title/Summary/Keyword: 핀슬러 기하학

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On the history of 60 years of Japanese School of Finsler Geometry (일본 핀슬러 기하학파의 60년 역사)

  • Won, Dae Yeon
    • Journal for History of Mathematics
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    • v.34 no.3
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    • pp.89-111
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    • 2021
  • This paper is a continuation of the study on the history of the Japanese school of Finsler geometry. We had studied on the birth of Japanese school of Finsler geometry. In this paper, we find out what motivated Japanese to embrace Finsler geometry and we collect the history and analyze trends of Japanese school of Finsler geometry since its founding by M. Matsumoto.

On the history of the establishment of the Hungarian Debrecen School of Finsler geometry after L. Berwald (베어왈트에 의한 헝가리 데브레첸 핀슬러 기하학파의 형성의 역사)

  • Won, Dae Yeon
    • Journal for History of Mathematics
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    • v.31 no.1
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    • pp.37-51
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    • 2018
  • In this paper, our main concern is the historical development of the Finsler geometry in Debrecen, Hungary initiated by L. Berwald. First we look into the research trend in Berwald's days affected by the $G{\ddot{o}}ttingen$ mathematicians from C. Gauss and downward. Then we study how he was motivated to concentrate on the then completely new research area, Finsler geometry. Finally we examine the course of establishing Hungarian Debrecen school of Finsler geometry via the scholars including O. Varga, A. $Rapcs{\acute{a}}k$, L. $Tam{\acute{a}}ssy$ all deeply affected by Berwald after his settlement in Debrecen, Hungary.

On the History of Formation of Romanian School of Finsler Geometry (루마니아 핀슬러 기하학파 형성의 역사)

  • Won, Dae Yeon
    • Journal for History of Mathematics
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    • v.32 no.1
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    • pp.1-15
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    • 2019
  • We divide the timeline of the history of Finsler geometry, which dates back to Riemann's inaugural lecture in 1854, into three periods (hibernation, hiatus, rebirth) and we study formation of Romanian Finsler school around Iasi, Romania during the hiatus period. We look for the history centered around Radu Miron who is a third generation geometer of Iasi University and the mathematical heritage there through five generations. We also investigate mathematical impact of T. Levi-Civita, D. Hilbert, ${\acute{E}}$ Cartan who are considered as top mathematicians at their time.

On the beginning of the formation of Japanese School of Finsler Geometry (일본 핀슬러 기하학파 형성의 시작에 관하여)

  • Won, Dae Yeon
    • Journal for History of Mathematics
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    • v.34 no.2
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    • pp.55-74
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    • 2021
  • Matsumoto Makoto is regarded as founding father of the Japanese school of Finsler geometry because he established the Japanese Society of Finsler Geometry in 1968 and organized the Symposium every year since then. In this paper, we investigate how Matsumoto initiated the study of this topic leaping over geographical limit and how Yano Kentaro and Kawaguchi Akitsugu had affected Matsumoto in the formation of the Japanese school of Finsler geometry. We also take a view of the role of É. Cartan who invented the concept of the connection in early 20th century in this regard.