Background Wallis created and infinate product formula for pi which is written as: π = 2 ∏k=1,∞ 1+(4k2-1)-1 Side note by Ryan King John Brehaut Wallis

(1616-1703) Wallis' plan was to become a Doctor but, after graduating, he went on to obtain his Masters degree in 1640, before becoming a Priest. John wallis began his life as a servant of arithmatic, medical student, and theologian = Mission Successful . He was born in 1616 in Ashford, Kent, England, the son of Reverend John Wallis. He was known to be the greatest mathematician of his time before Isaac Newton. At the time, however, Math was not considered a primary academic study. Enrolling in Emmanuel College, Cambridge. MAJOR ACCOMPLISHMENTS John Wallis made great advances in analytic geometry. Had a huge contribution in Algebra, Geometry, and Trigonometry. Especially famous for his use of negative fractions and exponents. Wallis appointment in 1649 as Savilian professor of geometry at the University of Oxford He invented and introduced the symbol ∞ for infinity. Interesting Facts

( Not about Math) Wallis was the third child of John Wallis and his second wife, Joanna Chapman. His father studied at Trinity College, Cambridge, and after having taken holy orders became minister at Ashford, about 1603. Johns Father died when he was six. Grew up, together with his two older sisters and two younger brothers. Rumored calculated the square root of a 53-digit number to help him sleep. Work Cited "John Wallis (English Mathematician)." Encyclopedia Britannica Online. Encyclopedia Britannica, n.d. Web. 19 May 2013. "Wallis, John." Complete Dictionary of Scientific Biography. 2008. Encyclopedia.com. 19 May. 2013 "John Brehaut Wallis (1616-1703) England." Greatest Mathematicians Born between 1580 and 1700 A.D. N.p., n.d. Web. 19 May 2013. http://www.encyclopedia.com/topic/John_Wallis.aspx http://www.britannica.com/EBchecked/topic/634927/John-Wallis http://www.fabpedigree.com/james/grmatm3.htm#Wallis Overall During the Civil War between the Royalists and Parliamentarians Wallis used his skills in cryptography in decoding Royalist messages for the Parliamentarians. He also discovered methods of solving equations of degree four. In Treatise on Algebra Wallis accepts negative roots and complex roots. He shows that a3 - 7a = 6 has exactly three roots and that they are all real. Wallis made significant contributions to trigonometry, calculus, geometry, and the analysis of infinite series. In his Opera Mathematica I (1695) Wallis introduced the term "continued fraction". Wallis rejected as absurd the now usual idea of a negative number as being less than nothing, but accepted the view that it is.

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# John Brehaut Wallis

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