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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 John Edward Campbell ： ウィキペディア英語版 John Edward Campbell John Edward Campbell (27 May 1862, Lisburn, Ireland – 1 October 1924, Oxford, Oxfordshire, England) was a mathematician, best known for his contribution to the Baker-Campbell-Hausdorff formula. ==Biography== Campbell was born in a family of a doctor, also named John Campbell. He studied first at the Methodist College in Belfast and then at Queen's University Belfast, graduating in 1884. He then won a scholarship to study at the Oxford University, at Hertford College. There he won the Junior Mathematical University Scholarship in 1885, became a College Fellow in 1887, obtained a Senior Scholarship in 1888, and eventually became a tutor.〔 Campbell was noted as a charming and highly devoted teacher and a proponent of women's education.〔(John Edward Campbell ). www-history.mcs.st-and.ac.uk〕 Campbell made his most notable contribution to mathematics in 1897 by introducing a formula for multiplication of exponentials in Lie algebras.〔J. Campbell, ''Proc Lond Math Soc'' 28 (1897) 381–390; ibid 29 (1898) 14–32.〕 This formula was later elaborated by Henri Poincaré〔H. Poincaré, ''Compt Rend Acad Sci Paris'' 128 (1899) 1065–1069; ''Camb Philos Trans'' 18 (1899) 220–255.〕 (1899) and Henry Frederick Baker (1902).〔H. Baker, ''Proc Lond Math Soc'' (1) 34 (1902) 347–360; ibid (1) 35 (1903) 333–374; ibid (Ser 2) 3 (1905) 24–47.〕 It was later systematized geometrically by Felix Hausdorff (1906)〔F. Hausdorff, "Die symbolische Exponentialformel in der Gruppentheorie", ''Ber Verh Saechs Akad Wiss Leipzig'' 58 (1906) 19–48.〕 and became known as Baker-Campbell-Hausdorff formula. In 1903, Campbell published a book on ''Introductory Treatise on Lie's Theory of Finite Continuous Transformation Groups'' where he popularized the ideas of Sophus Lie. He was elected a Fellow of the Royal Society in 1905, and served as President of the London Mathematical Society from 1918 to 1920. He was tutor to the future literary scholar C. S. Lewis in 1917, assisting Lewis with Responsions in mathematics as part of the entrance requirements for Oxford University/. Campbell was the first mathematician from Oxford who was invited, shortly before his death, by the Cambridge University to examine the Cambridge Mathematical Tripos.〔 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「John Edward Campbell」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.