Abstract
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).
The authors thank the editors of the Journal of Northwest University, first for publishing the original papers, the Japanese version of which had been rejected by the History of Science Society of Japan in 2002, and secondly for permitting their reproduction in these Proceedings. The second author is supported in part by JSPS Grant-in-Aid for Scientific Research (C) no. 20540107.
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Goto, T., Komatsu, H. (2013). Seki’s Theory of Elimination as Compared with the Others’. In: Knobloch, E., Komatsu, H., Liu, D. (eds) Seki, Founder of Modern Mathematics in Japan. Springer Proceedings in Mathematics & Statistics, vol 39. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54273-5_35
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DOI: https://doi.org/10.1007/978-4-431-54273-5_35
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