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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 Paul du Bois-Reymond ： ウィキペディア英語版 Paul du Bois-Reymond Paul David Gustav du Bois-Reymond (2 December 1831 – 7 April 1889) was a German mathematician who was born in Berlin and died in Freiburg. He was the brother of Emil du Bois-Reymond. His thesis was concerned with the mechanical equilibrium of fluids. He worked on the theory of functions and in mathematical physics. His interests included Sturm–Liouville theory, integral equations, variational calculus, and Fourier series. In this latter field, he was able in 1873 to construct a continuous function whose Fourier series is not convergent. His lemma defines a sufficient condition to guarantee that a function vanishes almost everywhere. Du Bois-Reymond also established that a trigonometric series that converges to a continuous function at every point is the Fourier series of this function. He also discovered a proof method that later became known as the Cantor's diagonal argument. ==Theory of infinitesimals== Paul du Bois-Reymond developed a theory of infinitesimals: 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「Paul du Bois-Reymond」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.