Campbell
# John Edward Campbell

### Born: 27 May 1862 in Lisburn, Co Antrim, Ireland

Died: 1 Oct 1924 in Oxford, Oxfordshire, England

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**John Campbell** was educated at University College Belfast and Oxford and became a fellow in 1887. His book Lie's *Theory of Finite Continuous Groups* (1903) introduced Lie's ideas to British mathematicians.

Campbell is remembered for the Campbell-Baker-Hausdorff theorem which gives a formula for multiplication of exponentials in Lie algebras. His research turned later to differential geometry. After a son was killed in World War I, Campbell seemed to give up mathematical research.

**Reference (One book/article)**

**References elsewhere in this archive:**

John E Campbell was elected to the Royal Society of London in 1905. You can see a history of the Royal Society and a list of the members among the mathematicians in our archive.

J E Campbell was the London Mathematical Society President in 1918 - 1920. You can see a history of the LMS and a list of the presidents.

JOC/EFR December 1996