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John Wallis

John Wallis
John Wallis by Sir Godfrey Kneller, Bt.jpg
Born (1616-12-03)3 December 1616
Ashford, Kent, England
Died 8 November 1703(1703-11-08) (aged 86)
Oxford, Oxfordshire, England
Nationality English
Fields Mathematics
Institutions
Alma mater Emmanuel College, Cambridge
Academic advisors William Oughtred
Notable students William Brouncker
Known for Wallis product
Inventing the symbol
Extending Cavalieri's quadrature formula
Coining the term "momentum"

John Wallis (/ˈwɒlɪs, ˈwɔːlɪs/; 3 December 1616 – 8 November 1703) was an English mathematician who is given partial credit for the development of infinitesimal calculus. Between 1643 and 1689 he served as chief cryptographer for Parliament and, later, the royal court. He is credited with introducing the symbol ∞ for infinity. He similarly used 1/∞ for an infinitesimal.

Wallis was born in Ashford, Kent, the third of five children of Reverend John Wallis and Joanna Chapman. He was initially educated at a school in Ashford but moved to James Movat's school in Tenterden in 1625 following an outbreak of plague. Wallis was first exposed to mathematics in 1631, at Martin Holbeach's school in Felsted; he enjoyed maths, but his study was erratic, since "mathematics, at that time with us, were scarce looked on as academical studies, but rather mechanical" (Scriba 1970).

As it was intended that he should be a doctor, he was sent in 1632 to Emmanuel College, Cambridge. While there, he kept an act on the doctrine of the circulation of the blood; that was said to have been the first occasion in Europe on which this theory was publicly maintained in a disputation. His interests, however, centred on mathematics. He received his Bachelor of Arts degree in 1637 and a Master's in 1640, afterwards entering the priesthood. From 1643 to 1649, he served as a nonvoting scribe at the Westminster Assembly. He was elected to a fellowship at Queens' College, Cambridge in 1644, from which he had to resign following his marriage.


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