[過去ログ] Inter-universal geometry と ABC予想 (応援スレ) 77 (1002レス)
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742(1): 現代数学の系譜 雑談 ◆yH25M02vWFhP 11/10(月)22:20 ID:Dp+ahlva(9/13) AAS
>>738
>代数学の基本定理のガウスの証明についてGrokに聞いたところ以下の回答を得た
Grokか・・。下記の劣化要約だろ?w ;p)
外部リンク:en.wikipedia.org
Fundamental theorem of algebra
History
(抜粋)
The other one was published by Gauss in 1799 and it was mainly geometric, but it had a topological gap, only filled by Alexander Ostrowski in 1920, as discussed in Smale (1981).[6]
The first rigorous proof was published by Argand, an amateur mathematician, in 1806 (and revisited in 1813);[7] it was also here that, for the first time, the fundamental theorem of algebra was stated for polynomials with complex coefficients, rather than just real coefficients. Gauss produced two other proofs in 1816 and another incomplete version of his original proof in 1849.
The first textbook containing a proof of the theorem was Cauchy's Cours d'analyse de l'École Royale Polytechnique (1821). It contained Argand's proof, although Argand is not credited for it.
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