عدد پی (Persian Wikipedia)

Analysis of information sources in references of the Wikipedia article "عدد پی" in Persian language version.

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11books.google.com

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8web.archive.org

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7archive.org

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4doi.org

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2wolfram.com

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2worldcat.org

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2harvard.edu

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1mathvault.ca

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1scientificamerican.com

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1pi2e.ch

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1cloud.google.com

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1psu.edu

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1semanticscholar.org

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1zeit.de

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1lbl.gov

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1pipex.com

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1oeis.org

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1jstor.org

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1just-mathematic.ir

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archive.org

Jones, William (1706). Synopsis Palmariorum Matheseos: or, a New Introduction to the Mathematics (به انگلیسی). pp. 243, 263. Archived from the original on 25 March 2012. Retrieved 15 October 2017.
Bailey et al. 1997, pp. 50–56. Bailey, David H.; Plouffe, Simon M.; Borwein, Peter B.; Borwein, Jonathan M. (1997). "The quest for PI". The Mathematical Intelligencer. 19 (1): 50–56. CiteSeerX 10.1.1.138.7085. doi:10.1007/BF03024340. ISSN 0343-6993. S2CID 14318695.
Baltzer, Richard (1870), Die Elemente der Mathematik [The Elements of Mathematics] (به آلمانی), Hirzel, p. 195, archived from the original on 14 September 2016
Rudin, Walter (1976). Principles of Mathematical Analysis. McGraw-Hill. ISBN 978-0-07-054235-8., p. 183.
(Posamentier و Lehmann 2004، ص. 25) Posamentier, Alfred S.; Lehmann, Ingmar (2004). Pi: A Biography of the World's Most Mysterious Number. Prometheus Books. ISBN 978-1-59102-200-8.
(Beckmann 1989، ص. 37)
Schlager, Neil; Lauer, Josh (2001). Science and Its Times: Understanding the Social Significance of Scientific Discovery. Gale Group. ISBN 978-0-7876-3933-4., p. 185. Beckmann, Peter (1989) [1974]. History of Pi. St. Martin's Press. ISBN 978-0-88029-418-8.
Lange, L.J. (May 1999). "An Elegant Continued Fraction for [[عدد پی| $\pi$ ]]". The American Mathematical Monthly. 106 (5): 456–458. doi:10.2307/2589152. JSTOR 2589152. {{cite journal}}: URL–wikilink conflict (help)

books.google.com

Andrews, Askey & Roy 1999, p. 59. Andrews, George E.; Askey, Richard; Roy, Ranjan (1999). Special Functions. Cambridge: University Press. ISBN 978-0-521-78988-2.
Arndt & Haenel 2006, p. 17. Arndt, Jörg; Haenel, Christoph (2006). Pi Unleashed. Springer-Verlag. ISBN 978-3-540-66572-4. Retrieved 5 June 2013. English translation by Catriona and David Lischka.
(Arndt و Haenel 2006، ص. 8) Arndt, Jörg; Haenel, Christoph (2006). Pi Unleashed. Springer-Verlag. ISBN 978-3-540-66572-4. Retrieved 5 June 2013. English translation by Catriona and David Lischka.
(Arndt و Haenel 2006، ص. 5) Arndt, Jörg; Haenel, Christoph (2006). Pi Unleashed. Springer-Verlag. ISBN 978-3-540-66572-4. Retrieved 5 June 2013. English translation by Catriona and David Lischka.
(Arndt و Haenel 2006، صص. 22–23)
Preuss, Paul (23 ژوئیه 2001). "Are The Digits of Pi Random? Lab Researcher May Hold The Key". آزمایشگاه ملی لارنس برکلی. Archived from the original on 20 October 2007. Retrieved 10 November 2007. Arndt, Jörg; Haenel, Christoph (2006). Pi Unleashed. Springer-Verlag. ISBN 978-3-540-66572-4. Retrieved 5 June 2013. English translation by Catriona and David Lischka.
(Arndt و Haenel 2006، صص. 22, 28–30) Arndt, Jörg; Haenel, Christoph (2006). Pi Unleashed. Springer-Verlag. ISBN 978-3-540-66572-4. Retrieved 5 June 2013. English translation by Catriona and David Lischka.
(Arndt و Haenel 2006، ص. 3) Arndt, Jörg; Haenel, Christoph (2006). Pi Unleashed. Springer-Verlag. ISBN 978-3-540-66572-4. Retrieved 5 June 2013. English translation by Catriona and David Lischka.
(Arndt و Haenel 2006، ص. 240) Arndt, Jörg; Haenel, Christoph (2006). Pi Unleashed. Springer-Verlag. ISBN 978-3-540-66572-4. Retrieved 5 June 2013. English translation by Catriona and David Lischka.
(Arndt و Haenel 2006، ص. 242) Arndt, Jörg; Haenel, Christoph (2006). Pi Unleashed. Springer-Verlag. ISBN 978-3-540-66572-4. Retrieved 5 June 2013. English translation by Catriona and David Lischka.
Kennedy, E.S. (1978), "Abu-r-Raihan al-Biruni, 973–1048", Journal for the History of Astronomy, 9: 65, Bibcode:1978JHA.....9...65K, doi:10.1177/002182867800900106. Ptolemy used a three-sexagesimal-digit approximation, and Jamshīd al-Kāshī expanded this to nine digits; see Aaboe, Asger (1964), Episodes from the Early History of Mathematics, New Mathematical Library, vol. 13, New York: Random House, p. 125, ISBN 978-0-88385-613-0, archived from the original on 29 November 2016
(Arndt و Haenel ۲۰۰۶، ص. ۱۶۷) Arndt, Jörg; Haenel, Christoph (2006). Pi Unleashed. Springer-Verlag. ISBN 978-3-540-66572-4. Retrieved 5 June 2013. English translation by Catriona and David Lischka.

cloud.google.com

Haruka Iwao, Emma (14 March 2019). "Pi in the sky: Calculating a record-breaking 31.4 trillion digits of Archimedes' constant on Google Cloud". Google Cloud Platform. Archived from the original on 19 October 2019. Retrieved 12 April 2019.

doi.org

Bailey et al. 1997, pp. 50–56. Bailey, David H.; Plouffe, Simon M.; Borwein, Peter B.; Borwein, Jonathan M. (1997). "The quest for PI". The Mathematical Intelligencer. 19 (1): 50–56. CiteSeerX 10.1.1.138.7085. doi:10.1007/BF03024340. ISSN 0343-6993. S2CID 14318695.
Salikhov, V. (2008). "On the Irrationality Measure of pi". Russian Mathematical Surveys. 53 (3): 570–572. Bibcode:2008RuMaS..63..570S. doi:10.1070/RM2008v063n03ABEH004543. ISSN 0036-0279.
Lange, L.J. (May 1999). "An Elegant Continued Fraction for [[عدد پی| $\pi$ ]]". The American Mathematical Monthly. 106 (5): 456–458. doi:10.2307/2589152. JSTOR 2589152. {{cite journal}}: URL–wikilink conflict (help)
Kennedy, E.S. (1978), "Abu-r-Raihan al-Biruni, 973–1048", Journal for the History of Astronomy, 9: 65, Bibcode:1978JHA.....9...65K, doi:10.1177/002182867800900106. Ptolemy used a three-sexagesimal-digit approximation, and Jamshīd al-Kāshī expanded this to nine digits; see Aaboe, Asger (1964), Episodes from the Early History of Mathematics, New Mathematical Library, vol. 13, New York: Random House, p. 125, ISBN 978-0-88385-613-0, archived from the original on 29 November 2016

harvard.edu

ui.adsabs.harvard.edu

Salikhov, V. (2008). "On the Irrationality Measure of pi". Russian Mathematical Surveys. 53 (3): 570–572. Bibcode:2008RuMaS..63..570S. doi:10.1070/RM2008v063n03ABEH004543. ISSN 0036-0279.
Kennedy, E.S. (1978), "Abu-r-Raihan al-Biruni, 973–1048", Journal for the History of Astronomy, 9: 65, Bibcode:1978JHA.....9...65K, doi:10.1177/002182867800900106. Ptolemy used a three-sexagesimal-digit approximation, and Jamshīd al-Kāshī expanded this to nine digits; see Aaboe, Asger (1964), Episodes from the Early History of Mathematics, New Mathematical Library, vol. 13, New York: Random House, p. 125, ISBN 978-0-88385-613-0, archived from the original on 29 November 2016

jstor.org

Lange, L.J. (May 1999). "An Elegant Continued Fraction for [[عدد پی| $\pi$ ]]". The American Mathematical Monthly. 106 (5): 456–458. doi:10.2307/2589152. JSTOR 2589152. {{cite journal}}: URL–wikilink conflict (help)

just-mathematic.ir

JM فقط ریاضی بایگانی‌شده در ۲۱ ژوئن ۲۰۱۵ توسط Wayback Machine عدد پی

lbl.gov

(Arndt و Haenel 2006، صص. 22–23)
Preuss, Paul (23 ژوئیه 2001). "Are The Digits of Pi Random? Lab Researcher May Hold The Key". آزمایشگاه ملی لارنس برکلی. Archived from the original on 20 October 2007. Retrieved 10 November 2007. Arndt, Jörg; Haenel, Christoph (2006). Pi Unleashed. Springer-Verlag. ISBN 978-3-540-66572-4. Retrieved 5 June 2013. English translation by Catriona and David Lischka.

mathvault.ca

"Compendium of Mathematical Symbols". Math Vault (به انگلیسی). 2020-03-01. Retrieved 2020-08-10.

oeis.org

Sloane, N. J. A. (ed.). "Sequence A001203 (Continued fraction for Pi)". دانشنامه برخط دنباله‌های صحیح. OEIS Foundation. Retrieved 12 April 2012.

pi2e.ch

"π^e trillion digits of π". pi2e.ch. Archived from the original on 6 December 2016.

pipex.com

dialspace.dial.pipex.com

Mayer, Steve. "The Transcendence of [[عدد پی| $\pi$ ]]". Archived from the original on 2000-09-29. Retrieved 4 November 2007. {{cite web}}: URL–wikilink conflict (help)

psu.edu

citeseerx.ist.psu.edu

Bailey et al. 1997, pp. 50–56. Bailey, David H.; Plouffe, Simon M.; Borwein, Peter B.; Borwein, Jonathan M. (1997). "The quest for PI". The Mathematical Intelligencer. 19 (1): 50–56. CiteSeerX 10.1.1.138.7085. doi:10.1007/BF03024340. ISSN 0343-6993. S2CID 14318695.

scientificamerican.com

Bogart, Steven. "What Is Pi, and How Did It Originate?". Scientific American (به انگلیسی). Retrieved 2020-08-10.

semanticscholar.org

api.semanticscholar.org

Bailey et al. 1997, pp. 50–56. Bailey, David H.; Plouffe, Simon M.; Borwein, Peter B.; Borwein, Jonathan M. (1997). "The quest for PI". The Mathematical Intelligencer. 19 (1): 50–56. CiteSeerX 10.1.1.138.7085. doi:10.1007/BF03024340. ISSN 0343-6993. S2CID 14318695.

web.archive.org

"π^e trillion digits of π". pi2e.ch. Archived from the original on 6 December 2016.
Haruka Iwao, Emma (14 March 2019). "Pi in the sky: Calculating a record-breaking 31.4 trillion digits of Archimedes' constant on Google Cloud". Google Cloud Platform. Archived from the original on 19 October 2019. Retrieved 12 April 2019.
Boeing, Niels (14 مارس 2016). "Die Welt ist Pi" [The World is Pi]. Zeit Online (به آلمانی). Archived from the original on 17 March 2016. 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. [The Ludolphian number or circle number now also received the symbol under which we know it today: William Jones proposed in 1706 the Greek letter π, based on perimetros [περίμετρος], Greek for perimeter. Leonhard Euler firmly established π in his mathematical writings.]
Baltzer, Richard (1870), Die Elemente der Mathematik [The Elements of Mathematics] (به آلمانی), Hirzel, p. 195, archived from the original on 14 September 2016
(Arndt و Haenel 2006، صص. 22–23)
Preuss, Paul (23 ژوئیه 2001). "Are The Digits of Pi Random? Lab Researcher May Hold The Key". آزمایشگاه ملی لارنس برکلی. Archived from the original on 20 October 2007. Retrieved 10 November 2007. Arndt, Jörg; Haenel, Christoph (2006). Pi Unleashed. Springer-Verlag. ISBN 978-3-540-66572-4. Retrieved 5 June 2013. English translation by Catriona and David Lischka.
Mayer, Steve. "The Transcendence of [[عدد پی| $\pi$ ]]". Archived from the original on 2000-09-29. Retrieved 4 November 2007. {{cite web}}: URL–wikilink conflict (help)
Kennedy, E.S. (1978), "Abu-r-Raihan al-Biruni, 973–1048", Journal for the History of Astronomy, 9: 65, Bibcode:1978JHA.....9...65K, doi:10.1177/002182867800900106. Ptolemy used a three-sexagesimal-digit approximation, and Jamshīd al-Kāshī expanded this to nine digits; see Aaboe, Asger (1964), Episodes from the Early History of Mathematics, New Mathematical Library, vol. 13, New York: Random House, p. 125, ISBN 978-0-88385-613-0, archived from the original on 29 November 2016
JM فقط ریاضی بایگانی‌شده در ۲۱ ژوئن ۲۰۱۵ توسط Wayback Machine عدد پی

wolfram.com

mathworld.wolfram.com

Weisstein, Eric W. "Pi". mathworld.wolfram.com (به انگلیسی). Retrieved 2020-08-10.
Weisstein, Eric W. "Roots of Unity". MathWorld.

worldcat.org

Bailey et al. 1997, pp. 50–56. Bailey, David H.; Plouffe, Simon M.; Borwein, Peter B.; Borwein, Jonathan M. (1997). "The quest for PI". The Mathematical Intelligencer. 19 (1): 50–56. CiteSeerX 10.1.1.138.7085. doi:10.1007/BF03024340. ISSN 0343-6993. S2CID 14318695.
Salikhov, V. (2008). "On the Irrationality Measure of pi". Russian Mathematical Surveys. 53 (3): 570–572. Bibcode:2008RuMaS..63..570S. doi:10.1070/RM2008v063n03ABEH004543. ISSN 0036-0279.

zeit.de

Boeing, Niels (14 مارس 2016). "Die Welt ist Pi" [The World is Pi]. Zeit Online (به آلمانی). Archived from the original on 17 March 2016. 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. [The Ludolphian number or circle number now also received the symbol under which we know it today: William Jones proposed in 1706 the Greek letter π, based on perimetros [περίμετρος], Greek for perimeter. Leonhard Euler firmly established π in his mathematical writings.]