John Edward Campbell (1862 - 1924) was a British mathematician. He is most most well-known for the Baker-Campbell-Hausdorff formula for multiplying exponentials of elements of Lie algebras. Campbell is remembered for the Campbell-Baker-Hausdorff theorem which gives a formula for multiplication of exponentials in Lie algebras.Campbell was born on this day (May 27) in 1862.
Short Biography:-
John Campbell's father was also named John Campbell. He was a medical doctor who had a practice in Lisburn. John junior, the subject of this biography, was educated at home when he was young. He then entered the Methodist College in Belfast where he completed his school education before entering Queen's College, Belfast.
The Queen's University in Belfast had been established in 1845 and Campbell felt great loyalty towards this institution.
Campbell graduated from the Queen's University in 1884 and won a scholarship to study at the University of Oxford in England. He entered Hertford College, at that time a new College which had been founded in Oxford in 1874. He graduated in 1885 winning a Junior Mathematical University Scholarship in that year. He became a fellow of Hertford College in 1887, being awarded a Senior Scholarship in 1888, and was then appointed as a tutor at the College. He later was appointed as a lecturer at University College.
Campbell's book Lie's Theory of Finite Continuous Groups (1903) introduced Lie's ideas to British mathematicians. However, he is most frequently remembered for the Campbell-Baker- Hausdorff theorem which gives a formula for multiplication of exponentials in Lie algebras. His research turned later towards differential geometry.
Campbell was elected a Fellow of the Royal Society in 1905. He had married Sarah Hardman, the daughter of a cotton spinner, in 1889. After one of their sons was killed in 1914 near Ypres during the fighting of World War I, Campbell seemed to give up mathematical research.
He was President of the London Mathematical Society from 1918 to 1920. He received an unusual tribute from the University of Cambridge when, shortly before his death, he was invited to examine the Mathematical Tripos at Cambridge, being the first Oxford mathematician to be asked to undertake this duty.
Died
1 October 1924
Oxford, England
Source: Mac Tutor
約翰·愛德華·坎貝爾（1862-1924）是一位英國數學家。他最為人所知的貢獻是提出了貝克-坎貝爾-豪斯多夫公式，用於計算李代數元素的指數乘法。坎貝爾因坎貝爾-貝克-豪斯多夫定理而被人們銘記，該定理給出了李代數中指數乘法的公式。坎貝爾出生於1862年的今天（5月27日）。
簡介：
約翰·坎貝爾的父親也叫約翰·坎貝爾。他是一位在利斯本行醫的醫生。本書的主角小約翰自幼在家接受教育。之後，他進入貝爾法斯特的衛理公會學院完成學業，之後進入貝爾法斯特女王學院學習。
貝爾法斯特女王大學成立於1845年，坎貝爾對這所大學懷抱著深厚的忠誠。
坎貝爾於1884年畢業於女王大學，並獲獎學金前往英國牛津大學深造。他進入了赫特福德學院，當時該學院是一所於1874年在牛津大學成立的新學院。他於1885年畢業，並獲得了當年的初級數學大學獎學金。 1887年，他成為赫特福德學院的研究員，1888年獲得高級獎學金，隨後被任命為學院的導師。後來，他被任命為大學學院的講師。
坎貝爾的著作《李的有限連續群理論》（1903年）將李的想法介紹給了英國數學家。然而，他最被記住的是坎貝爾-貝克-豪斯多夫定理，給出了李代數中指數乘法的公式。後來，他的研究轉向了微分幾何。
坎貝爾於1905年當選為皇家學會院士。他於1889年與棉紡工之女莎拉·哈德曼結婚。 1914年，他們的一個兒子在第一次世界大戰期間於伊普爾附近陣亡後，坎貝爾似乎放棄了數學研究。
他於1918年至1920年擔任倫敦數學學會主席。在他去世前不久，劍橋大學邀請他擔任數學榮譽學位考試的考官，這是他成為第一位受邀擔任此職的牛津大學數學家，劍橋大學因此對他表達了不同尋常的敬意。
逝世於
1924年10月1日
英國牛津
來源：Mac Tuto
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