[過去ログ] 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)
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722(2): 現代数学の系譜 雑談 ◆yH25M02vWFhP  02/11(火)19:45 ID:zr+dFWV7(13/15) AAS
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 外部リンク:en.wikipedia.org 
 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
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