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翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Pietro Mengoli ： ウィキペディア英語版 Pietro Mengoli Pietro Mengoli (1626, Bologna – June 7, 1686, Bologna) was an Italian mathematician and clergyman from Bologna, where he studied with Bonaventura Cavalieri at the University of Bologna, and succeeded him in 1647. He remained as professor there for the next 39 years of his life. In 1644 it was Mengoli who first posed the famous Basel problem, solved in 1735 by Leonhard Euler. He wrote a paper in 1650 in which he proved that the sum of the alternating harmonic series is equal to the natural logarithm of 2. He also proved that the harmonic series does not converge, and provided a proof that Wallis' product for $\backslash pi$ is correct.〔Hofmann, Joseph Ehrenfried (1959). ''Classical Mathematics''. Translated from the German ''Geschichte der Mathematik'' by Henrietta O. Midonick. New York: Philosophical Library Inc.〕 ==References== 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Pietro Mengoli」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.