Japanese Journal of Mathematics

, Volume 2, Issue 1, pp 151–164 | Cite as

Teiji Takagi, Founder of the Japanese School of Modern Mathematics

  • Katsuya Miyake
Special Feature: The 1st Takagi Lecture

Abstract.

This article is a brief historical report on Teiji Takagi which was prepared at the commencement of ‘Takagi Lectures’ of The Mathematical Society of Japan. The first of its two purposes is to give some informations on the circumstances of education and research of mathematics in Japan surrounding Takagi who could finally established himself as the founder of the Japanese school of modern mathematics. The other is a brief overview on Takagi’s works of mathematics some of which are still attractive to and influential on especially ambitious students of mathematics. The author hopes that careful readers may find some hints for the questions how and why Takagi was able to establish his class field theory. At the end of this article the readers will find an English translation of the preface of his book Algebraic theory of numbers (in Japanese) which is the only thing that he left for us to see his total view over class field theory after the establishment of Artin’s reciprocity law.

Keywords and phrases:

T. Takagi history of algebraic number theory class field theory Göttingen 

Mathematics Subject Classification (2000):

01A27 01A60 01A90 (primary) 11R04 11R37 (secondary) 

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References

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    T. Takagi, (Thesis) Über die im Bereich der rationalen complexen Zahlen Abel’schen Zahlkörper, J. College of Science, Imperial Univ. of Tokyo, 19 (1903), 1–42; Takagi Teiji Collected Papers, 13–39.Google Scholar
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    T. Takagi, Über eine Theorie des relative Abel’schen Zahlkörpers, J. College of Science, Imperial Univ. of Tokyo, 41 (1920), 1–133; Berichtigung zu meiner Arbeit: Ueber eine Theorie des relative Abel’schen Zahlkörpers, ibid.; Takagi Teiji Collected Papers, 73–166, (167).Google Scholar
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    T. Takagi, Teiji Takagi Collected Papers, Second Enlarged Edition, Springer-Verlag Tokyo, 1990.Google Scholar
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    T. Takagi, Algebraic theory of numbers (in Japanese), Iwanami-Shoten, 1948, originally published in the Collection of courses on Mathematics, Iwanami-shoten, 1934–35; second edn., Iwanami-Shoten, Tokyo, 1971.Google Scholar
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    S. Iyanaga, Memories of Professor Teiji Takagi, In: Class Field Theory—Its Centenary and Prospect, (ed. K. Miyake), Adv. Stud. Pure Math., 30, Math. Soc. Japan, Tokyo, 2001, pp. 1–11.Google Scholar

Copyright information

© The Mathematical Society of Japan and Springer 2007

Authors and Affiliations

  • Katsuya Miyake
    • 1
  1. 1.Department of Mathematical Sciences, School of Science and EngineeringWaseda UniversityShinjuku-ku, TokyoJapan

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