圓周率 (Chinese Wikipedia)

Analysis of information sources in references of the Wikipedia article "圓周率" in Chinese language version.

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Tate, John T., Fourier analysis in number fields, and Hecke's zeta-functions, Algebraic Number Theory (Proc. Instructional Conf., Brighton, 1965), Thompson, Washington, D.C.: 305–347, 1950, ISBN 978-0-9502734-2-6, MR 0217026

archive.org

George E. Andrews, Richard Askey, Ranjan Roy. Special Functions. Cambridge University Press. 1999: 58. ISBN 0-521-78988-5.
Richard Baltzer, Die Elemente der Mathematik, Hirzel: 195, 1870 [2017-12-08], （原始内容存档于2017-01-29）
Rudin, Walter. Principles of Mathematical Analysis. McGraw-Hill. 1976. ISBN 0-07-054235-X. , p 183.
Posamentier & Lehmann 2004，第25頁 Posamentier, Alfred S.; Lehmann, Ingmar. Pi: A Biography of the World's Most Mysterious Number. Prometheus Books. 2004. ISBN 978-1-59102-200-8.
Beckmann 1989，第37頁
Schlager, Neil; Lauer, Josh. Science and Its Times: Understanding the Social Significance of Scientific Discovery. Gale Group. 2001. ISBN 0-7876-3933-8. ，第185页 Beckmann, Peter. History of Pi. St. Martin's Press. 1989 [1974]. ISBN 978-0-88029-418-8.
"We can conclude that although the ancient Egyptians could not precisely define the value of $π$ , in practice they used it". Verner, M. The Pyramids: Their Archaeology and History. 2003. ，第70页。
Petrie. Wisdom of the Egyptians. 1940. ，第30页。
参见Legon, J. A. R. On Pyramid Dimensions and Proportions. Discussions in Egyptology. 1991, 20: 第25–34页 [2016-09-13]. （原始内容存档于2011-07-18）. .
参见Petrie, W. M. F. Surveys of the Great Pyramids. Nature. 1925, 116 (2930期): 第942页. Bibcode:1925Natur.116..942P. doi:10.1038/116942a0.
Boyer & Merzbach 1991，第168頁 Boyer, Carl B.; Merzbach, Uta C. A History of Mathematics 2. Wiley. 1991. ISBN 978-0-471-54397-8.
Boyer & Merzbach 1991，第202頁 Boyer, Carl B.; Merzbach, Uta C. A History of Mathematics 2. Wiley. 1991. ISBN 978-0-471-54397-8.
Roy 1990，第101–102頁 Roy, Ranjan. The Discovery of the Series Formula for pi by Leibniz, Gregory, and Nilakantha. Mathematics Magazine. 1990, 63 (5): 291–306. doi:10.2307/2690896.
Roy 1990，第101–102頁 Roy, Ranjan. The Discovery of the Series Formula for pi by Leibniz, Gregory, and Nilakantha. Mathematics Magazine. 1990, 63 (5): 291–306. doi:10.2307/2690896.
Borwein, J. M.; Borwein, P. B.; Dilcher, K. Pi, Euler Numbers, and Asymptotic Expansions. American Mathematical Monthly. 1989, 96 (8): 681–687. doi:10.2307/2324715.
Arndt & Haenel 2006，第223頁, (formula 16.10). Note that (n − 1)n(n + 1) = n³ − n.
Wells, David. The Penguin Dictionary of Curious and Interesting Numbers revised. Penguin. 1997: 35. ISBN 978-0-140-26149-3. Arndt, Jörg; Haenel, Christoph. Pi Unleashed. Springer-Verlag. 2006 [2013-06-05]. ISBN 978-3-540-66572-4. English translation by Catriona and David Lischka.
Posamentier & Lehmann 2004，第284頁 Posamentier, Alfred S.; Lehmann, Ingmar. Pi: A Biography of the World's Most Mysterious Number. Prometheus Books. 2004. ISBN 978-1-59102-200-8.
Posamentier & Lehmann 2004，第105頁 Posamentier, Alfred S.; Lehmann, Ingmar. Pi: A Biography of the World's Most Mysterious Number. Prometheus Books. 2004. ISBN 978-1-59102-200-8.
Posamentier & Lehmann 2004，第105–108頁 Posamentier, Alfred S.; Lehmann, Ingmar. Pi: A Biography of the World's Most Mysterious Number. Prometheus Books. 2004. ISBN 978-1-59102-200-8.
Rabinowitz, Stanley; Wagon, Stan. A spigot algorithm for the digits of Pi. American Mathematical Monthly. 1995-03, 102 (3): 195–203. doi:10.2307/2975006. A computer program has been created that implements Wagon's spigot algorithm in only 120 characters of software.
Posamentier & Lehmann 2004，第140–141頁 Posamentier, Alfred S.; Lehmann, Ingmar. Pi: A Biography of the World's Most Mysterious Number. Prometheus Books. 2004. ISBN 978-1-59102-200-8.
Posamentier & Lehmann 2004，第118頁 Posamentier, Alfred S.; Lehmann, Ingmar. Pi: A Biography of the World's Most Mysterious Number. Prometheus Books. 2004. ISBN 978-1-59102-200-8.
Posamentier & Lehmann 2004，第36–37頁 Posamentier, Alfred S.; Lehmann, Ingmar. Pi: A Biography of the World's Most Mysterious Number. Prometheus Books. 2004. ISBN 978-1-59102-200-8.

archive.today

Pi Day activities. PI DAY. 2008 [2016-09-13]. （原始内容存档于2013-07-04）.

arxiv.org

L. Esposito; C. Nitsch; C. Trombetti, Best constants in Poincaré inequalities for convex domains, arXiv:1110.2960 
Benjamin Nill; Andreas Paffenholz, On the equality case in Erhart's volume conjecture, Advances in Geometry, 2014, 14 (4): 579–586, ISSN 1615-7168, arXiv:1205.1270 , doi:10.1515/advgeom-2014-0001
T. Friedmann; C.R. Hagen. Quantum mechanical derivation of the Wallis formula for pi. Journal of Mathematical Physics. 2015, 56 (11). arXiv:1510.07813 . doi:10.1063/1.4930800.

bbc.co.uk

Palmer, Jason. Pi record smashed as team finds two-quadrillionth digit. BBC News. 2010-09-16 [2011-03-26]. （原始内容存档于2011-03-17）.

books.google.com

Arndt & Haenel 2006 Arndt, Jörg; Haenel, Christoph. Pi Unleashed. Springer-Verlag. 2006 [2013-06-05]. ISBN 978-3-540-66572-4. English translation by Catriona and David Lischka.
Kennedy, E. S., Abu-r-Raihan al-Biruni, 973-1048, Journal for the History of Astronomy: 65, Bibcode:1978JHA.....9...65K, doi:10.1177/002182867800900106 。克劳狄乌斯·托勒密使用了60进制下的三位小数去近似，随后卡西将其扩展到了九位小数。参见Aaboe, Asger, Episodes from the Early History of Mathematics, New Mathematical Library 13, 纽约: Random House: 125, 1964 [2017-12-08], （原始内容存档于2017-02-01）
Egyptologist: Rossi, Corinna, Architecture and Mathematics in Ancient Egypt, Cambridge University Press, 2004, 第60-70页，200, ISBN 9780521829540.
对此的怀疑：Shermer, Michael（英语：Michael Shermer）, The Skeptic Encyclopedia of Pseudoscience, ABC-CLIO, 2002, 第407-408页, ISBN 9781576076538.
参见Fagan, Garrett G., Archaeological Fantasies: How Pseudoarchaeology Misrepresents The Past and Misleads the Public, Routledge, 2006, ISBN 9780415305938.
若需要一个没有 $π$ 参与的解释的列表，请见Roger Herz-Fischler. The Shape of the Great Pyramid. Wilfrid Laurier University Press. 2000: 第67–77页，第165–166页 [2013-06-05]. ISBN 9780889203242. （原始内容存档于2016-11-29）.
Chaitanya, Krishna. A profile of Indian culture. （页面存档备份，存于互联网档案馆） Indian Book Company (1975). 第133页。
Arndt & Haenel 2006，第15–16, 175, 184–186, 205頁Grienberger在1630年已計算到39位小數，Sharp在1699年計算到71位小數 Arndt, Jörg; Haenel, Christoph. Pi Unleashed. Springer-Verlag. 2006 [2013-06-05]. ISBN 978-3-540-66572-4. English translation by Catriona and David Lischka.
此零非彼O. 臺灣商務印書館. 2006: 286. ISBN 978-957-05-2072-9.
Arndt & Haenel 2006，第182頁 Arndt, Jörg; Haenel, Christoph. Pi Unleashed. Springer-Verlag. 2006 [2013-06-05]. ISBN 978-3-540-66572-4. English translation by Catriona and David Lischka.
Joseph 1991，第264頁 Joseph, George Gheverghese. The Crest of the Peacock: Non-European Roots of Mathematics. Princeton University Press. 1991 [2013-06-05]. ISBN 978-0-691-13526-7.
Arndt & Haenel 2006，第188頁。牛顿由Arndt引用。 Arndt, Jörg; Haenel, Christoph. Pi Unleashed. Springer-Verlag. 2006 [2013-06-05]. ISBN 978-3-540-66572-4. English translation by Catriona and David Lischka.
Arndt & Haenel 2006，第223頁, (formula 16.10). Note that (n − 1)n(n + 1) = n³ − n.
Wells, David. The Penguin Dictionary of Curious and Interesting Numbers revised. Penguin. 1997: 35. ISBN 978-0-140-26149-3. Arndt, Jörg; Haenel, Christoph. Pi Unleashed. Springer-Verlag. 2006 [2013-06-05]. ISBN 978-3-540-66572-4. English translation by Catriona and David Lischka.
Arndt & Haenel 2006，第165頁. A facsimile of Jones' text is in Berggren, Borwein & Borwein 1997，第108–109頁 Arndt, Jörg; Haenel, Christoph. Pi Unleashed. Springer-Verlag. 2006 [2013-06-05]. ISBN 978-3-540-66572-4. English translation by Catriona and David Lischka. Berggren, Lennart; Borwein, Jonathan; Borwein, Peter. Pi: a Source Book. Springer-Verlag. 1997. ISBN 978-0-387-20571-7.
Arndt & Haenel 2006，第197頁。参见 Reitwiesner 1950. Arndt, Jörg; Haenel, Christoph. Pi Unleashed. Springer-Verlag. 2006 [2013-06-05]. ISBN 978-3-540-66572-4. English translation by Catriona and David Lischka. Reitwiesner, George. An ENIAC Determination of pi and e to 2000 Decimal Places. Mathematical Tables and Other Aids to Computation. 1950, 4 (29): 11–15. doi:10.2307/2002695.
Arndt & Haenel 2006，第第111页（5 倍）；第113–114（4 倍）頁.
具体算法情参见Borwein & Borwein 1987。 Arndt, Jörg; Haenel, Christoph. Pi Unleashed. Springer-Verlag. 2006 [2013-06-05]. ISBN 978-3-540-66572-4. English translation by Catriona and David Lischka. Borwein, Jonathan; Borwein, Peter. Pi and the AGM: a Study in Analytic Number Theory and Computational Complexity. Wiley. 1987. ISBN 978-0-471-31515-5.
Arndt & Haenel 2006，第17頁“39 digits of $\pi$ are sufficient to calculate the volume of the universe to the nearest atom.”（中文：39位 $\pi$ 已足以计算宇宙到其最近的原子的体积了。）
鉴于人们需要一些额外的数位来解决捨入誤差的问题，阿恩特称几百位小数足以应付任何科学计算。 Arndt, Jörg; Haenel, Christoph. Pi Unleashed. Springer-Verlag. 2006 [2013-06-05]. ISBN 978-3-540-66572-4. English translation by Catriona and David Lischka.
Arndt & Haenel 2006，第128頁。普勞夫有找到十進制的位數萃取演算法，但其速度比完整計算之前所有位數要慢。 Arndt, Jörg; Haenel, Christoph. Pi Unleashed. Springer-Verlag. 2006 [2013-06-05]. ISBN 978-3-540-66572-4. English translation by Catriona and David Lischka.
Peterson, Ivars, Mathematical Treks: From Surreal Numbers to Magic Circles, MAA spectrum, Mathematical Association of America: 17, 2002 [2017-12-08], ISBN 9780883855379, （原始内容存档于2017-02-01）
Arndt & Haenel 2006，第14頁这部分情节在改编的电影《超時空接觸》中省略。 Arndt, Jörg; Haenel, Christoph. Pi Unleashed. Springer-Verlag. 2006 [2013-06-05]. ISBN 978-3-540-66572-4. English translation by Catriona and David Lischka.

cadaeic.net

Keith, Mike. Cadaeic Cadenza Notes & Commentary. [2009-07-29]. （原始内容存档于2009-01-18）.

cna.com.tw

國際數學日科教館揪萬人投針重現圓周率計算. 中央通訊社. 2021-03-14 [2021-04-11]. （原始内容存档于2021-06-28）.

cnn.com

lightyears.blogs.cnn.com

Tau Day: Why you should eat twice the pie. Light Years - CNN. 2012-06-28 [2012-06-28]. （原始内容存档于2013-01-12）.

comcast.net

home.comcast.net

Klebanoff, Aaron. Pi in the Mandelbrot set (PDF). Fractals. 2001, 9 (4): 393–402 [2012-04-14]. doi:10.1142/S0218348X01000828. （原始内容 (PDF)存档于2012-04-06）.

comune.palermo.it

librarsi.comune.palermo.it

Grienbergerus, Christophorus. Elementa Trigonometrica (PDF). 1630 [2016-09-13]. （原始内容 (PDF)存档于2014-02-01）（拉丁语）. 。其計算結果是3.14159 26535 89793 23846 26433 83279 50288 4196 < $π$ < 3.14159 26535 89793 23846 26433 83279 50288 4199

demon.co.uk

legon.demon.co.uk

Legon, J. A. R. On Pyramid Dimensions and Proportions (1991) Discussions in Egyptology (20) 第25-34页 [1] （页面存档备份，存于互联网档案馆）
"We can conclude that although the ancient Egyptians could not precisely define the value of $π$ , in practice they used it". Verner, M. The Pyramids: Their Archaeology and History. 2003. ，第70页。
Petrie. Wisdom of the Egyptians. 1940. ，第30页。
参见Legon, J. A. R. On Pyramid Dimensions and Proportions. Discussions in Egyptology. 1991, 20: 第25–34页 [2016-09-13]. （原始内容存档于2011-07-18）. .
参见Petrie, W. M. F. Surveys of the Great Pyramids. Nature. 1925, 116 (2930期): 第942页. Bibcode:1925Natur.116..942P. doi:10.1038/116942a0.

dictionary.com

pi. Dictionary.com. [2017-07-15]. （原始内容存档于2017-07-18）.

doi.org

Kennedy, E. S., Abu-r-Raihan al-Biruni, 973-1048, Journal for the History of Astronomy: 65, Bibcode:1978JHA.....9...65K, doi:10.1177/002182867800900106 。克劳狄乌斯·托勒密使用了60进制下的三位小数去近似，随后卡西将其扩展到了九位小数。参见Aaboe, Asger, Episodes from the Early History of Mathematics, New Mathematical Library 13, 纽约: Random House: 125, 1964 [2017-12-08], （原始内容存档于2017-02-01）
David Bailey; Jonathan Borwein; Peter Borwein; Simon Plouffe, The Quest for Pi, The Mathematical Intelligencer, 1997, 19 (1): 50–56, doi:10.1007/bf03024340
Salikhov, V. On the Irrationality Measure of pi. Russian Mathematical Survey. 2008, 53 (3): 570–572. Bibcode:2008RuMaS..63..570S. ISSN 0036-0279. doi:10.1070/RM2008v063n03ABEH004543.
Lange, L. J. An Elegant Continued Fraction for π. The American Mathematical Monthly. 1999-05, 106 (5): 456–458. JSTOR 2589152. doi:10.2307/2589152.
Talenti, Giorgio, Best constant in Sobolev inequality, Annali di Matematica Pura ed Applicata: 353–372, [2016-09-13], ISSN 1618-1891, doi:10.1007/BF02418013, （原始内容存档于2017-01-29）
M Del Pino; J Dolbeault, Best constants for Gagliardo–Nirenberg inequalities and applications to nonlinear diffusions, Journal de Mathématiques Pures et Appliquées, 2002, 81 (9): 847–875, doi:10.1016/s0021-7824(02)01266-7
"We can conclude that although the ancient Egyptians could not precisely define the value of $π$ , in practice they used it". Verner, M. The Pyramids: Their Archaeology and History. 2003. ，第70页。
Petrie. Wisdom of the Egyptians. 1940. ，第30页。
参见Legon, J. A. R. On Pyramid Dimensions and Proportions. Discussions in Egyptology. 1991, 20: 第25–34页 [2016-09-13]. （原始内容存档于2011-07-18）. .
参见Petrie, W. M. F. Surveys of the Great Pyramids. Nature. 1925, 116 (2930期): 第942页. Bibcode:1925Natur.116..942P. doi:10.1038/116942a0.
Roy 1990，第101–102頁 Roy, Ranjan. The Discovery of the Series Formula for pi by Leibniz, Gregory, and Nilakantha. Mathematics Magazine. 1990, 63 (5): 291–306. doi:10.2307/2690896.
Roy 1990，第101–102頁 Roy, Ranjan. The Discovery of the Series Formula for pi by Leibniz, Gregory, and Nilakantha. Mathematics Magazine. 1990, 63 (5): 291–306. doi:10.2307/2690896.
Borwein, J. M.; Borwein, P. B. Ramanujan and Pi. Scientific American. 1988, 256 (2): 112–117. Bibcode:1988SciAm.258b.112B. doi:10.1038/scientificamerican0288-112.
Borwein, J. M.; Borwein, P. B.; Dilcher, K. Pi, Euler Numbers, and Asymptotic Expansions. American Mathematical Monthly. 1989, 96 (8): 681–687. doi:10.2307/2324715.
參考Schepler 1950，第220頁：威廉·奥特雷德用字母 $π$ 來表示一個圓的周長 Schepler, H. C. The Chronology of Pi. Mathematics Magazine (Mathematical Association of America). 1950, 23 (3): 165–170 (Jan/Feb), 216–228 (Mar/Apr), and 279–283 (May/Jun). doi:10.2307/3029284. . issue 3 Jan/Feb, issue 4 Mar/Apr, issue 5 May/Jun （页面存档备份，存于互联网档案馆）
Arndt & Haenel 2006，第197頁。参见 Reitwiesner 1950. Arndt, Jörg; Haenel, Christoph. Pi Unleashed. Springer-Verlag. 2006 [2013-06-05]. ISBN 978-3-540-66572-4. English translation by Catriona and David Lischka. Reitwiesner, George. An ENIAC Determination of pi and e to 2000 Decimal Places. Mathematical Tables and Other Aids to Computation. 1950, 4 (29): 11–15. doi:10.2307/2002695.
Rabinowitz, Stanley; Wagon, Stan. A spigot algorithm for the digits of Pi. American Mathematical Monthly. 1995-03, 102 (3): 195–203. doi:10.2307/2975006. A computer program has been created that implements Wagon's spigot algorithm in only 120 characters of software.
Bailey, David H; Borwein, Peter B; and Plouffe, Simon. On the Rapid Computation of Various Polylogarithmic Constants (PDF). Mathematics of Computation. 1997-04, 66 (218): 903–913 [2016-09-13]. doi:10.1090/S0025-5718-97-00856-9. （原始内容存档 (PDF)于2012-07-22）.
Benjamin Nill; Andreas Paffenholz, On the equality case in Erhart's volume conjecture, Advances in Geometry, 2014, 14 (4): 579–586, ISSN 1615-7168, arXiv:1205.1270 , doi:10.1515/advgeom-2014-0001
Sondow, J., Analytic Continuation of Riemann's Zeta Function and Values at Negative Integers via Euler's Transformation of Series, Proc. Amer. Math. Soc., 1994, 120: 421–424, doi:10.1090/s0002-9939-1994-1172954-7
T. Friedmann; C.R. Hagen. Quantum mechanical derivation of the Wallis formula for pi. Journal of Mathematical Physics. 2015, 56 (11). arXiv:1510.07813 . doi:10.1063/1.4930800.
Klebanoff, Aaron. Pi in the Mandelbrot set (PDF). Fractals. 2001, 9 (4): 393–402 [2012-04-14]. doi:10.1142/S0218348X01000828. （原始内容 (PDF)存档于2012-04-06）.
Hans-Henrik Stølum. River Meandering as a Self-Organization Process. Science. 1996-03-22, 271 (5256): 1710–1713. Bibcode:1996Sci...271.1710S. doi:10.1126/science.271.5256.1710.
Raz, A.; Packard, M. G. A slice of pi: An exploratory neuroimaging study of digit encoding and retrieval in a superior memorist. Neurocase. 2009, 15: 361–372. PMC 4323087 . PMID 19585350. doi:10.1080/13554790902776896.
Abbott, Stephen. Aftermath: My Conversion to Tauism. Math Horizons. 2012-04, 19 (4). ISSN 1072-4117. doi:10.4169/mathhorizons.19.4.34 （英语）.
Palais, Robert. π is wrong!. The Mathematical Intelligencer. 2001-01, 23 (3). ISSN 0343-6993. doi:10.1007/BF03026846 （英语）.
Hallerberg, Arthur E. Indiana's Squared Circle. Mathematics Magazine. 1977-05, 50 (3). ISSN 0025-570X. doi:10.1080/0025570X.1977.11976632 （英语）.

financialpost.com

business.financialpost.com

Google's strange bids for Nortel patents. FinancialPost.com. Reuters. 2011-07-05 [2011-08-16]. （原始内容存档于2011-08-09）.

free.fr

fabrice.bellard.free.fr

Bellards formula in: Bellard, Fabrice. A new formula to compute the n^th binary digit of pi. [2007-10-27]. （原始内容存档于2007-09-12）.

gaffa.org

Gill, Andy. Review of Aerial. The Independent. 2005-11-04 [2016-09-13]. （原始内容存档于2006-10-15）. the almost autistic satisfaction of the obsessive-compulsive mathematician fascinated by 'Pi' (which affords the opportunity to hear Bush slowly sing vast chunks of the number in question, several dozen digits long)

guinnessworldrecords.com

Most Pi Places Memorized. Guinness World Records. [2016-09-13]. （原始内容存档于2016-02-14）.

harvard.edu

ui.adsabs.harvard.edu

Kennedy, E. S., Abu-r-Raihan al-Biruni, 973-1048, Journal for the History of Astronomy: 65, Bibcode:1978JHA.....9...65K, doi:10.1177/002182867800900106 。克劳狄乌斯·托勒密使用了60进制下的三位小数去近似，随后卡西将其扩展到了九位小数。参见Aaboe, Asger, Episodes from the Early History of Mathematics, New Mathematical Library 13, 纽约: Random House: 125, 1964 [2017-12-08], （原始内容存档于2017-02-01）
Salikhov, V. On the Irrationality Measure of pi. Russian Mathematical Survey. 2008, 53 (3): 570–572. Bibcode:2008RuMaS..63..570S. ISSN 0036-0279. doi:10.1070/RM2008v063n03ABEH004543.
"We can conclude that although the ancient Egyptians could not precisely define the value of $π$ , in practice they used it". Verner, M. The Pyramids: Their Archaeology and History. 2003. ，第70页。
Petrie. Wisdom of the Egyptians. 1940. ，第30页。
参见Legon, J. A. R. On Pyramid Dimensions and Proportions. Discussions in Egyptology. 1991, 20: 第25–34页 [2016-09-13]. （原始内容存档于2011-07-18）. .
参见Petrie, W. M. F. Surveys of the Great Pyramids. Nature. 1925, 116 (2930期): 第942页. Bibcode:1925Natur.116..942P. doi:10.1038/116942a0.
Borwein, J. M.; Borwein, P. B. Ramanujan and Pi. Scientific American. 1988, 256 (2): 112–117. Bibcode:1988SciAm.258b.112B. doi:10.1038/scientificamerican0288-112.
Hans-Henrik Stølum. River Meandering as a Self-Organization Process. Science. 1996-03-22, 271 (5256): 1710–1713. Bibcode:1996Sci...271.1710S. doi:10.1126/science.271.5256.1710.

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參考Schepler 1950，第220頁：威廉·奥特雷德用字母 $π$ 來表示一個圓的周長 Schepler, H. C. The Chronology of Pi. Mathematics Magazine (Mathematical Association of America). 1950, 23 (3): 165–170 (Jan/Feb), 216–228 (Mar/Apr), and 279–283 (May/Jun). doi:10.2307/3029284. . issue 3 Jan/Feb, issue 4 Mar/Apr, issue 5 May/Jun （页面存档备份，存于互联网档案馆）

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Bailey, David H; Borwein, Peter B; and Plouffe, Simon. On the Rapid Computation of Various Polylogarithmic Constants (PDF). Mathematics of Computation. 1997-04, 66 (218): 903–913 [2016-09-13]. doi:10.1090/S0025-5718-97-00856-9. （原始内容存档 (PDF)于2012-07-22）.

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刘霞. 新纪录！这个数已精确到小数点后105万亿位—新闻—科学网. 科技日报微信公众号. [2024-03-18]. （原始内容存档于2024-03-18）.
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He ate all the pi : Japanese man memorises π to 111,700 digits. 衛報. 2015-03-13 [2021-04-12]. （原始内容存档于2015-07-22）（英语）.
Boeing, Niels. 存档副本 Die Welt ist Pi [The World is Pi]. Zeit Online. 2016-03-14 [2016-09-13]. （原始内容存档于2016-03-17）（德语）. Die Ludolphsche Zahl oder Kreiszahl erhielt nun auch das Symbol, unter dem wir es heute kennen: William Jones schlug 1706 den griechischen Buchstaben π vor, in Anlehnung an perimetros, griechisch für Umfang. Leonhard Euler etablierte π schließlich in seinen mathematischen Schriften.中文：“鲁道夫数”，或称“圆周率”，同样獲得一个如今广为人知的符号——威廉·琼斯1706年提出使用字母 $π$ ，因为这是希腊语“周长”（περίμετρος）的开头字母。莱昂哈德·欧拉在其数学著作中確立了 $π$ 的使用。
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Talenti, Giorgio, Best constant in Sobolev inequality, Annali di Matematica Pura ed Applicata: 353–372, [2016-09-13], ISSN 1618-1891, doi:10.1007/BF02418013, （原始内容存档于2017-01-29）
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"We can conclude that although the ancient Egyptians could not precisely define the value of $π$ , in practice they used it". Verner, M. The Pyramids: Their Archaeology and History. 2003. ，第70页。
Petrie. Wisdom of the Egyptians. 1940. ，第30页。
参见Legon, J. A. R. On Pyramid Dimensions and Proportions. Discussions in Egyptology. 1991, 20: 第25–34页 [2016-09-13]. （原始内容存档于2011-07-18）. .
参见Petrie, W. M. F. Surveys of the Great Pyramids. Nature. 1925, 116 (2930期): 第942页. Bibcode:1925Natur.116..942P. doi:10.1038/116942a0.
Egyptologist: Rossi, Corinna, Architecture and Mathematics in Ancient Egypt, Cambridge University Press, 2004, 第60-70页，200, ISBN 9780521829540.
对此的怀疑：Shermer, Michael（英语：Michael Shermer）, The Skeptic Encyclopedia of Pseudoscience, ABC-CLIO, 2002, 第407-408页, ISBN 9781576076538.
参见Fagan, Garrett G., Archaeological Fantasies: How Pseudoarchaeology Misrepresents The Past and Misleads the Public, Routledge, 2006, ISBN 9780415305938.
若需要一个没有 $π$ 参与的解释的列表，请见Roger Herz-Fischler. The Shape of the Great Pyramid. Wilfrid Laurier University Press. 2000: 第67–77页，第165–166页 [2013-06-05]. ISBN 9780889203242. （原始内容存档于2016-11-29）.
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O'Connor, John J.; Robertson, Edmund F. Ghiyath al-Din Jamshid Mas'ud al-Kashi. MacTutor History of Mathematics archive. 1999 [2012-08-11]. （原始内容存档于2011-04-12）.
Grienbergerus, Christophorus. Elementa Trigonometrica (PDF). 1630 [2016-09-13]. （原始内容 (PDF)存档于2014-02-01）（拉丁语）. 。其計算結果是3.14159 26535 89793 23846 26433 83279 50288 4196 < $π$ < 3.14159 26535 89793 23846 26433 83279 50288 4199
參考Schepler 1950，第220頁：威廉·奥特雷德用字母 $π$ 來表示一個圓的周長 Schepler, H. C. The Chronology of Pi. Mathematics Magazine (Mathematical Association of America). 1950, 23 (3): 165–170 (Jan/Feb), 216–228 (Mar/Apr), and 279–283 (May/Jun). doi:10.2307/3029284. . issue 3 Jan/Feb, issue 4 Mar/Apr, issue 5 May/Jun （页面存档备份，存于互联网档案馆）
Bailey, David H. Some Background on Kanada’s Recent Pi Calculation (PDF). 2003-05-16 [2012-04-12]. （原始内容存档 (PDF)于2012-04-15）.
Connor, Steve. The Big Question: How close have we come to knowing the precise value of pi?. The Independent (London). 2010-01-08 [2012-04-14]. （原始内容存档于2012-04-02）.
Pi - 12.1 Trillion Digits. www.numberworld.org. [2012-05-30]. （原始内容存档于2014-01-01）.
Plouffe, Simon. Identities inspired by Ramanujan's Notebooks (part 2) (PDF). 2006-04 [2009-04-10]. （原始内容存档 (PDF)于2012-01-14）.
Weisstein, Eric W. (编). Random Walk--1-Dimensiona. at MathWorld--A Wolfram Web Resource. Wolfram Research, Inc. [2016-09-18]. （原始内容存档于2016-11-18）（英语）.
Gibbons, Jeremy, "Unbounded Spigot Algorithms for the Digits of Pi" （页面存档备份，存于互联网档案馆）, 2005. Gibbons produced an improved version of Wagon's algorithm.
Bailey, David H; Borwein, Peter B; and Plouffe, Simon. On the Rapid Computation of Various Polylogarithmic Constants (PDF). Mathematics of Computation. 1997-04, 66 (218): 903–913 [2016-09-13]. doi:10.1090/S0025-5718-97-00856-9. （原始内容存档 (PDF)于2012-07-22）.
Bellards formula in: Bellard, Fabrice. A new formula to compute the n^th binary digit of pi. [2007-10-27]. （原始内容存档于2007-09-12）.
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Gill, Andy. Review of Aerial. The Independent. 2005-11-04 [2016-09-13]. （原始内容存档于2006-10-15）. the almost autistic satisfaction of the obsessive-compulsive mathematician fascinated by 'Pi' (which affords the opportunity to hear Bush slowly sing vast chunks of the number in question, several dozen digits long)
MIT cheers. MIT. [2012-04-12]. （原始内容存档于2009-01-19）.
Happy Pi Day! Watch these stunning videos of kids reciting 3.14. USAToday.com. 2015-03-14 [2015-03-14]. （原始内容存档于2015-03-15）.
Google's strange bids for Nortel patents. FinancialPost.com. Reuters. 2011-07-05 [2011-08-16]. （原始内容存档于2011-08-09）.
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Life of pi in no danger – Experts cold-shoulder campaign to replace with tau. Telegraph India. 2011-06-30 [2016-09-13]. （原始内容存档于2013-07-13）.

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对此的怀疑：Shermer, Michael（英语：Michael Shermer）, The Skeptic Encyclopedia of Pseudoscience, ABC-CLIO, 2002, 第407-408页, ISBN 9781576076538.
参见Fagan, Garrett G., Archaeological Fantasies: How Pseudoarchaeology Misrepresents The Past and Misleads the Public, Routledge, 2006, ISBN 9780415305938.
若需要一个没有 $π$ 参与的解释的列表，请见Roger Herz-Fischler. The Shape of the Great Pyramid. Wilfrid Laurier University Press. 2000: 第67–77页，第165–166页 [2013-06-05]. ISBN 9780889203242. （原始内容存档于2016-11-29）.
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Palais, Robert. π is wrong!. The Mathematical Intelligencer. 2001-01, 23 (3). ISSN 0343-6993. doi:10.1007/BF03026846 （英语）.
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Boeing, Niels. 存档副本 Die Welt ist Pi [The World is Pi]. Zeit Online. 2016-03-14 [2016-09-13]. （原始内容存档于2016-03-17）（德语）. Die Ludolphsche Zahl oder Kreiszahl erhielt nun auch das Symbol, unter dem wir es heute kennen: William Jones schlug 1706 den griechischen Buchstaben π vor, in Anlehnung an perimetros, griechisch für Umfang. Leonhard Euler etablierte π schließlich in seinen mathematischen Schriften.中文：“鲁道夫数”，或称“圆周率”，同样獲得一个如今广为人知的符号——威廉·琼斯1706年提出使用字母 $π$ ，因为这是希腊语“周长”（περίμετρος）的开头字母。莱昂哈德·欧拉在其数学著作中確立了 $π$ 的使用。