Seki’s Theory of Elimination as Compared with the Others’

  • Takefumi Goto
  • Hikosaburo Komatsu
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 39)


This is an enlarged version of the authors’ papers published in Journal of Northwest University (Natural Science Edition), 33 Nos.3 and 4 (2003). Added is Section 3, where proofs are given of the main properties of determinants and resultants as originally introduced by Seki Takakazu (1642?–1708), Étienne Bézout (1739–83), James J. Sylvester (1814–97) and Arthur Cayley (1821–95).


Algebraic Equation Real Root Seventeenth Century Common Root Natural Science Edition 
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Copyright information

© Springer Japan 2013

Authors and Affiliations

  1. 1.Edogawa-ku Mizue Middle SchoolTokyoJapan
  2. 2.Graduate School of Mathematical SciencesUniversity of TokyoTokyoJapan

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