Pi

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Kun 1 an diyametro han lidong, an balor han sirkumperensiya amo an π

An pi o π amo an sukol matematika, nga makukuha tikang ha ratio han sirkumperensiya ngadto ha diyametro han usa ka lidong. An balor hini amo hapit ha numero ihap 3.14159.

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Padugang nga barasahon[igliwat | igliwat an pinagtikangan]

  • Blatner, David (1999). The Joy of Pi. Walker & Company. ISBN 978-0-8027-7562-7.
  • Borwein, Jonathan and Borwein, Peter, "The Arithmetic-Geometric Mean and Fast Computation of Elementary Functions", SIAM Review, 26(1984) 351–365
  • Borwein, Jonathan, Borwein, Peter, and Bailey, David H., Ramanujan, Modular Equations, and Approximations to Pi or How to Compute One Billion Digits of Pi", The American Mathematical Monthly, 96(1989) 201–219
  • Chudnovsky, David V. and Chudnovsky, Gregory V., "Approximations and Complex Multiplication According to Ramanujan", in Ramanujan Revisited (G.E. Andrews et al. Eds), Academic Press, 1988, pp 375–396, 468–472
  • Cox, David A., "The Arithmetic-Geometric Mean of Gauss", L' Ensignement Mathematique, 30(1984) 275–330
  • Delahaye, Jean-Paul, "Le Fascinant Nombre Pi", Paris: Bibliothèque Pour la Science (1997) ISBN 2902918259
  • Engels, Hermann, "Quadrature of the Circle in Ancient Egypt", Historia Mathematica 4(1977) 137–140
  • Euler, Leonhard, "On the Use of the Discovered Fractions to Sum Infinite Series", in Introduction to Analysis of the Infinite. Book I, translated from the Latin by J. D. Blanton, Springer-Verlag, 1964, pp 137–153
  • Heath, T. L., The Works of Archimedes, Cambridge, 1897; reprinted in The Works of Archimedes with The Method of Archimedes, Dover, 1953, pp 91–98
  • Huygens, Christiaan, "De Circuli Magnitudine Inventa", Christiani Hugenii Opera Varia I, Leiden 1724, pp 384–388
  • Lay-Yong, Lam and Tian-Se, Ang, "Circle Measurements in Ancient China", Historia Mathematica 13(1986) 325–340
  • Lindemann, Ferdinand, "Ueber die Zahl pi", Mathematische Annalen 20(1882) 213–225
  • Matar, K. Mukunda, and Rajagonal, C., "On the Hindu Quadrature of the Circle" (Appendix by K. Balagangadharan). Journal of the Bombay Branch of the Royal Asiatic Society 20(1944) 77–82
  • Niven, Ivan, "A Simple Proof that pi Is Irrational", Bulletin of the American Mathematical Society, 53:7 (July 1947), 507
  • Ramanujan, Srinivasa, "Modular Equations and Approximations to π", Quarterly Journal of Pure and Applied Mathematics, XLV, 1914, 350–372. Reprinted in G.H. Hardy, P.V. Seshu Aiyar, and B. M. Wilson (eds), Srinivasa Ramanujan: Collected Papers, 1927 (reprinted 2000), pp 23–29
  • Shanks, William, Contributions to Mathematics Batakan:Sic Chiefly of the Rectification of the Circle to 607 Places of Decimals, 1853, pp. i–xvi, 10
  • Shanks, Daniel and Wrench, John William, "Calculation of pi to 100,000 Decimals", Mathematics of Computation 16(1962) 76–99
  • Tropfke, Johannes, Geschichte Der Elementar-Mathematik in Systematischer Darstellung (The history of elementary mathematics), BiblioBazaar, 2009 (reprint), ISBN 978-1-113-08573-3
  • Viete, Francois, Variorum de Rebus Mathematicis Reponsorum Liber VII. F. Viete, Opera Mathematica (reprint), Georg Olms Verlag, 1970, pp 398–401, 436–446
  • Wagon, Stan, "Is Pi Normal?", The Mathematical Intelligencer, 7:3(1985) 65–67
  • Wallis, John, Arithmetica Infinitorum, sive Nova Methodus Inquirendi in Curvilineorum Quadratum, aliaque difficiliora Matheseos Problemata, Oxford 1655–6. Reprinted in vol. 1 (pp 357–478) of Opera Mathematica, Oxford 1693
  • Zebrowski, Ernest, A History of the Circle: Mathematical Reasoning and the Physical Universe, Rutgers University Press, 1999, ISBN 978-0-8135-2898-4

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