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

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

Published:2010-07-07 Issue:4 Volume:32 Page:19-31
ISSN:0343-6993
Container-title:The Mathematical Intelligencer
language:en
Short-container-title:Math Intelligencer

Author:

Khrushchev Sergey

Publisher

Springer Science and Business Media LLC

Subject

History and Philosophy of Science,General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s00283-010-9155-6.pdf

Reference36 articles.

1. W. Brouncker. “Animadversions upon the Musick-Compendium of Descartes” (London, 1653).

2. J. J. O’Connor and E. F. Robertson. “William Brouncker”, (The MacTutor History of Mathematics Online Archive, 2002). http://www.history.mcs.st-and.ac.uk

3. M. Jesseph Douglas. “Squaring the Circle: The War between Hobbes and Wallis” (University of Chicago, Chicago, 2000).

4. E. G. Dunne and M. McConnell. Pianos and continued fractions, Mathematics Magazine 72:2 (1999), pp. 104–115.

5. J. Dutka. “Wallis’s product, Brouncker’s continued fraction, and Leibniz’s series”, Archive for History of Exact Sciences 26:2 (1982), pp. 115–126.

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