Two Great Theorems of Lord Brouncker and His Formula $$\bf b(s-1)b(s+1)={\bf s}^2 ,\\ {\bf b(s)=s}+\frac{1^2}{2{\bf s} + \frac{3^2}{2{\bf s} + \frac{5^2}{2{\bf s} +_{\ddots}}}}(1)$$

Khrushchev, Sergey
December 2010
Mathematical Intelligencer;Dec2010, Vol. 32 Issue 4, p19
Academic Journal
The article informs about theorems propounded by doctor in philosophy William Brouncker of England. It also mention the book "Arithematica Infinitorium," by John Wallis who referred to arithmetic of infinites. Wallis had planned to obtain the new formula using method of interpolation assisted by Brouncker. It mentions how Wallis convinced Brouncker hard to publish the proof but all in vain. It also reveals how proof of Brouncker's formula is the starting point of Stieltjes's theory.


Related Articles

  • The Discovery of Wonders: Reading Between the Lines of John Wallis's Arithmetica infinitorum. Stedall, Jacqueline A. // Archive for History of Exact Sciences;Nov2001, Vol. 56 Issue 1, p1 

    Discusses John Wallis's book 'Arithmetica Infinitorum.'

  • Wallis, John (1616 - 1703).  // Hutchinson Dictionary of Scientific Biography;2005, p1 

    English mathematician who made important contributions to the development of algebra and analytical geometry and who was one of the founders of the Royal Society.

  • 1656.  // History of Science & Technology;2004, p191 

    The article presents discoveries in astronomy, mathematics, medicine and health, and technology in 1656 including Christian Huygens' observation of Saturn's satellite and John Wallis' mathematical induction.

  • ABOUT THE COVER: JOHN WALLIS AND OXFORD. Alexanderson, Gerald L. // Bulletin (New Series) of the American Mathematical Society;Jul2012, Vol. 49 Issue 3, p443 

    The article profiles English mathematician John Wallis who was credited for discovering a formula for approximating the value of pi. He also introduced the symbol for infinity and the term 'continued fraction,' and published a treatise on conic sections. As Savilian Professor of Geometry at...

  • NBER profile: John J. Wallis.  // NBER Reporter;Spring95, p19 

    Profiles John J. Wallis, a research associate at the US National Bureau of Economic Research (NBER). Researches done by Wallis; Career history; Academic background; Family life.

  • WALLIS, John (1616-1703). Pritchard, Paul // Continuum Encyclopedia of British Philosophy;2006, Vol. 4, p3296 

    An encyclopedia entry for British philosopher John Wallis is presented. It discusses Wallis' family, educational and career background. He was born in Ashford in Kent, England in 1616 and died in 1703. It also provides information on several works done by Wallis including "Tractatus de...

  • BROUNCKER, William, 2nd Viscount (c.1620-84). Feingold, Mordechai // Continuum Encyclopedia of British Philosophy;2006, Vol. 1, p436 

    An encyclopedia entry about philosopher William Brouncker is presented. Brouncker was born in 1620 and died on April 5, 1684. He became the second Viscount Brouncker of Castle Lyons when his father died in 1646. He studied medicine and natural philosophy in Oxford. His contributions to...

  • Historical Objections Against the Number Line. Heeffer, Albrecht // Science & Education;Sep2011, Vol. 20 Issue 9, p863 

    Historical studies on the development of mathematical concepts will help mathematics teachers to relate their students' difficulties in understanding to conceptual problems in the history of mathematics. We argue that one popular tool for teaching about numbers, the number line, may not be fit...

  • A generalized Stieltjes criterion for the complete indeterminacy of interpolation problems. Dyukarev, Yu. M. // Mathematical Notes;Jul2008, Vol. 84 Issue 1-2, p22 

    The main result of this paper is a generalized Stieltjes criterion for the complete indeterminacy of interpolation problems in the Stieltjes class. This criterion is a generalization to limit interpolation problems of the classical Stieltjes criterion for the indeterminacy of moment problems. It...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics