現代数学の系譜工学物理雑談古典ガロア理論も読む78

[過去ﾛｸﾞ] 現代数学の系譜工学物理雑談古典ガロア理論も読む78 (1002ﾚｽ)
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357: 現代数学の系譜 雑談 古典ガロア理論も読む ◆e.a0E5TtKE  [] 2019/11/01(金) 21:28:22.52 ID:rcKeDs9u

>>345
どうも。スレ主です。
フォローありがとう

追加参考
https://ja.wikipedia.org/wiki/%E4%BD%93_(%E6%95%B0%E5%AD%A6)
体 (数学)
(抜粋)
この代数的構造はリヒャルト・デーデキントとレオポルト・クロネッカーがそれぞれ独立に（そして極めて異なる方法で）導入したが、体という呼称は実数または複素数からなる四則演算に関して閉じている部分集合を表すものとしてドイツ語で体を意味する Korper を用いたのが由来である（それがゆえに、任意の体を表すのにしばしば K をプレースホルダとして用いる）。

https://zh.wikipedia.org/wiki/%E5%9F%9F_(%E6%95%B8%E5%AD%B8)
中国
域 数学

https://en.wikipedia.org/wiki/Field_(mathematics)
Field (mathematics)
(抜粋)
History
Historically, three algebraic disciplines led to the concept of a field: the question of solving polynomial equations, algebraic number theory, and algebraic geometry.[15] A first step towards the notion of a field was made in 1770 by Joseph-Louis Lagrange,

Vandermonde, also in 1770, and to a fuller extent, Carl Friedrich Gauss, in his Disquisitiones Arithmeticae (1801),

These gaps were filled by Niels Henrik Abel in 1824.[18] Evariste Galois, in 1832, devised necessary and sufficient criteria for a polynomial equation to be algebraically solvable, thus establishing in effect what is known as Galois theory today.
Both Abel and Galois worked with what is today called an algebraic number field, but conceived neither an explicit notion of a field, nor of a group.

In 1871 Richard Dedekind introduced, for a set of real or complex numbers that is closed under the four arithmetic operations, the German word Korper, which means "body" or "corpus" (to suggest an organically closed entity). The English term "field" was introduced by Moore (1893).[19]

つづく

http://rio2016.5ch.net/test/read.cgi/math/1571400076/357

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