William Brouncker, 2nd Viscount Brouncker

William Brouncker, 2nd Viscount Brouncker

Infobox Scientist
name = William Brouncker
box_width = 300px


image_width = 300px
caption = The 2nd Viscount Brouncker (1620-1684)
birth_date = 1620
birth_place = Castlelyons, Ireland
death_date = death date and age|1684|04|06|1620|01|01
death_place = Westminster, London, England
residence = England
citizenship =
nationality =
ethnicity =
field = Mathematician
work_institutions = Saint Catherine's Hospital
alma_mater = University of Oxford
doctoral_advisor = John Wallis
doctoral_students =
known_for = Brouncker's formula
author_abbrev_bot =
author_abbrev_zoo =
influences =
influenced =
prizes =
religion =
footnotes =

William Brouncker, 2nd Viscount Brouncker, FRS (1620 – 5 April 1684) was an English mathematician.

Brouncker obtained a Ph.D at the University of Oxford in 1647. He was one of the founders and the second President of the Royal Society. In 1662, he became Chancellor to Queen Catherine, then chief of the Saint Catherine's Hospital. His mathematical work concerned in particular the calculations of the lengths of the parabola and cycloid, and the quadrature of the hyperbola, which requires approximation of the natural logarithm function by infinite series. He was the first in England to take interest in generalised continued fractions and, following the work of John Wallis, he provided development in the generalised continued fraction of pi.

Brouncker's formula

This formula provides a development in generalized continued fraction of π:

frac4{pi}= 1+1^2 / (2+3^2 / (2+5^2 / (2+7^2 / (2+9^2 / (2+11^2 / (2+13^2 / (2+15^2 / (2+17^2 / (2+cdots.

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