[過去ﾛｸﾞ] ガロア第一論文と乗数イデアル他関連資料スレ13 (1002ﾚｽ)

ガロア第一論文と乗数イデアル他関連資料スレ13 http://rio2016.5ch.net/test/read.cgi/math/1738367013/

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722: 現代数学の系譜 雑談 ◆yH25M02vWFhP [] 2025/02/11(火) 19:45:53.55 ID:zr+dFWV7 つづき https://en.wikipedia.org/wiki/Proofthat%CF%80isirrational Proof that π is irrational In the 1760s, Johann Heinrich Lambert was the first to prove that the number π is irrational, meaning it cannot be expressed as a fraction a/b, where a and b are both integers. In the 19th century, Charles Hermite found a proof that requires no prerequisite knowledge beyond basic calculus. Three simplifications of Hermite's proof are due to Mary Cartwright, Ivan Niven, and Nicolas Bourbaki. Another proof, which is a simplification of Lambert's proof, is due to Miklós Laczkovich. Many of these are proofs by contradiction. In 1882, Ferdinand von Lindemann proved that π is not just irrational, but transcendental as well.[1] Lambert's proof 略 Hermite's proof 略 Cartwright's proof 略 Niven's proof 略 Bourbaki's proof 略 Laczkovich's proof 略 以上 http://rio2016.5ch.net/test/read.cgi/math/1738367013/722

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