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Proofs of fast formulas for computing constant pi

  1. Feb 7, 2009 #1
    I am interesting for mathematical background od fast algorithms for computing number [tex]\pi[/tex] with complete proofs only. More specific, I am interesting for Gauss Legendre algorithm, Borwein algorithm, Ramanujan formulas and Chudnovsky formula.
     
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  3. Feb 7, 2009 #2

    arildno

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    Have you considered buying a text-book?
     
  4. Feb 7, 2009 #3
    Is there any online source about this topic?

    I am skillful in general mathematics. About Gauss Legendre formula, how to prove relation between arithmetic-geometric mean and complete elliptic integral of the first kind? I proved that it is equivalent to formula [tex]K(\sin^2(2x))\cos^2x=K(\tan^4x)[/tex], where [tex]K[/tex] is the complete elliptic integral of the first kind.
     
  5. Feb 7, 2009 #4

    arildno

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    I've searched a bit online, but haven't, as yet, dug up any. Hopefully, somebody else might lead you there. :smile:
     
  6. Feb 7, 2009 #5
    Does somebody has ideas for proofs or links?
     
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