John Edward Campbell

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John Edward Campbell
Oxford, Oxfordshire, England
Known forCampbell's theorem
Baker–Campbell–Hausdorff formula
AwardsFellow of the Royal Society (1905)
Scientific career
FieldsMathematics

John Edward Campbell (27 May 1862,

Baker-Campbell-Hausdorff
formula.

Biography

Campbell was born in a family of a doctor, also named John Campbell. He studied first at the

Oxford University, at Hertford College.[1] 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.[2] Campbell was noted as a charming and highly devoted teacher and a proponent of women's education.[3]

Campbell made his most notable contribution to mathematics in 1897 by introducing a formula for multiplication of exponentials in

Baker-Campbell-Hausdorff
formula.

In 1903, Campbell published a book on Introductory Treatise on Lie's Theory of Finite Continuous Transformation Groups where he popularised the ideas of

Cambridge Mathematical Tripos.[3]

Personal life

Campbell married Sarah Hardman (born in Oldham ca. 1862) in the Ashton Registration District in the late 1889. They had three sons and one daughter, all born in Oxford:[2]

  • John Maurice Hardman Campbell (1891–1973)
  • William Percy Campbell (2 May 1894 – 24 October 1914)
  • Patrick James Campbell (22 December 1897 – )
  • Dorothea Mary Hardman Campbell (28 December 1902 – ?).

William enrolled into the Oxford College in October 1913 but went to the World War I fronts the next year. He fought with the Wiltshire Regiment as a Second Lieutenant in the 3rd Battalion (attached 2nd Battalion) starting from October 1914 and was killed in action only a few weeks later.[2] He was the uncle of Air Chief Marshal Sir Donald Hardman.

Books

  • Introductory treatise on Lie's theory of continuous transformation groups. Oxford: Clarendon Press. 1903.[8]
  • A course of differential geometry. Oxford: Clarendon Press. 1924.[9]

References

  1. doi:10.1112/plms/s2-23.1.1-w
    . Retrieved 4 August 2016.
  2. ^ a b c William Percy CAMPBELL (1894–1914) Archived 2 July 2011 at the Wayback Machine. St Margaret's War Memorial
  3. ^ a b John Edward Campbell. www-history.mcs.st-and.ac.uk
  4. ^ J. Campbell, Proc Lond Math Soc 28 (1897) 381–390; ibid 29 (1898) 14–32.
  5. ^ H. Poincaré, Compt Rend Acad Sci Paris 128 (1899) 1065–1069; Camb Philos Trans 18 (1899) 220–255.
  6. H. Baker
    , Proc Lond Math Soc (1) 34 (1902) 347–360; ibid (1) 35 (1903) 333–374; ibid (Ser 2) 3 (1905) 24–47.
  7. ^ F. Hausdorff, "Die symbolische Exponentialformel in der Gruppentheorie", Ber Verh Saechs Akad Wiss Leipzig 58 (1906) 19–48.
  8. S2CID 4030417
    .
  9. doi:10.1090/s0002-9904-1927-04432-9
    .
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