[過去ﾛｸﾞ] 純粋・応用数学・数学隣接分野（含むガロア理論）12 (1002ﾚｽ)
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100(1): 現代数学の系譜 雑談 ◆yH25M02vWFhP 2022/12/29(木)18:00 ID:Dt/DNUrE(2/6) AAS
>>99
つづき

外部ﾘﾝｸ:en.wikipedia.org
Fundamental theorem of algebra

History
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).[7]

The first rigorous proof was published by Argand, an amateur mathematician, in 1806 (and revisited in 1813);[8] 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.

None of the proofs mentioned so far is constructive. It was Weierstrass who raised for the first time, in the middle of the 19th century, the problem of finding a constructive proof of the fundamental theorem of algebra. He presented his solution, which amounts in modern terms to a combination of the Durand?Kerner method with the homotopy continuation principle, in 1891. Another proof of this kind was obtained by Hellmuth Kneser in 1940 and simplified by his son Martin Kneser in 1981.
省3

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101: わかるすうがく 近谷蒙 ◆nSGM2Czuyoqf 2022/12/29(木)18:04 ID:672StsPz(4/7) AAS
>>99-100
なんだ、箱入り無数目スレで、撃沈されたんで
今度は、このスレに逃げてきたのかい？

あちこち逃げ回ってばっかりだねぇ
数学学びたいんなら、まず国語からやりなおしたほうがいいな

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