TITLE

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

AUTHOR(S)
Khrushchev, Sergey
PUB. DATE
December 2010
SOURCE
Mathematical Intelligencer;Dec2010, Vol. 32 Issue 4, p19
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
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.
ACCESSION #
56613344

 

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