Chronology of computation of π (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Chronology of computation of π" in English language version.

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13numberworld.org

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academia.edu

Jadhav, Dipak (2018-01-01). "On The Value Implied In The Data Referred To In The Mahābhārata for π". Vidyottama Sanatana: International Journal of Hindu Science and Religious Studies. 2 (1): 18. doi:10.25078/ijhsrs.v2i1.511. ISSN 2550-0651. S2CID 146074061.

americanscientist.org

Hayes, Brian (September 2014). "Pencil, Paper, and Pi". American Scientist. Vol. 102, no. 5. p. 342. doi:10.1511/2014.110.342. Retrieved 13 February 2022.

archive.org

Eggeling, Julius (1882–1900). The Satapatha-brahmana, according to the text of the Madhyandina school. Princeton Theological Seminary Library. Oxford, The Clarendon Press. pp. 302–303.{{cite book}}: CS1 maint: date and year (link)
Hobson, Ernest William (1913). 'Squaring the Circle': a History of the Problem (PDF). Cambridge University Press. p. 27.
Yoshio, Mikami; Eugene Smith, David (2004) [1914]. A History of Japanese Mathematics (paperback ed.). Dover Publications. ISBN 0-486-43482-6.
Vega, Géorge (1795) [1789]. "Detérmination de la demi-circonférence d'un cercle dont le diameter est $= 1$ , exprimée en $140$ figures decimals". Supplement. Nova Acta Academiae Scientiarum Petropolitanae. 11: 41–44.
Sandifer, Ed (2006). "Why 140 Digits of Pi Matter" (PDF). Southern Connecticut State University. Archived from the original (PDF) on 2012-02-04.

bellard.org

Bellard, Fabrice (11 Feb 2010). "Computation of 2700 billion decimal digits of Pi using a Desktop Computer" (PDF). 4th revision. S2CID 12242318.
"TachusPI". bellard.org. Retrieved 2024-10-10.

biblicalarchaeology.org

"Origins: 3.14159265..." Biblical Archaeology Society. 2022-03-14. Retrieved 2022-06-08.

bnf.fr

gallica.bnf.fr

Viète, François (1579). Canon mathematicus seu ad triangula : cum adpendicibus (in Latin).

books.google.com

Plofker, Kim (2009). Mathematics in India. Princeton University Press. p. 18. ISBN 978-0691120676.
趙良五 (1991). 中西數學史的比較. 臺灣商務印書館. ISBN 978-9570502688 – via Google Books.

calico.jp

piworld.calico.jp

"PI-world". calico.jp. Archived from the original on 31 August 2015. Retrieved 28 August 2015.

cloud.google.com

"Calculating 100 trillion digits of pi on Google Cloud". Google Cloud Blog. Retrieved 2022-06-10.

comune.palermo.it

librarsi.comune.palermo.it

Grienbergerus, Christophorus (1630). Elementa Trigonometrica (PDF) (in Latin). Archived from the original (PDF) on 2014-02-01.

doi.org

David H. Bailey; Jonathan M. Borwein; Peter B. Borwein; Simon Plouffe (1997). "The quest for pi" (PDF). Mathematical Intelligencer. 19 (1): 50–57. doi:10.1007/BF03024340. S2CID 14318695.
Ravi P. Agarwal; Hans Agarwal; Syamal K. Sen (2013). "Birth, growth and computation of pi to ten trillion digits". Advances in Difference Equations. 2013: 100. doi:10.1186/1687-1847-2013-100.
Jadhav, Dipak (2018-01-01). "On The Value Implied In The Data Referred To In The Mahābhārata for π". Vidyottama Sanatana: International Journal of Hindu Science and Religious Studies. 2 (1): 18. doi:10.25078/ijhsrs.v2i1.511. ISSN 2550-0651. S2CID 146074061.
approximated 2π to 9 sexagesimal digits. Al-Kashi, author: Adolf P. Youschkevitch, chief editor: Boris A. Rosenfeld, p. 256 O'Connor, John J.; Robertson, Edmund F., "Ghiyath al-Din Jamshid Mas'ud al-Kashi", MacTutor History of Mathematics Archive, University of St Andrews Azarian, Mohammad K. (2010). "Al-Risāla Al-Muhītīyya: A Summary". Missouri Journal of Mathematical Sciences. 22 (2): 64–85. doi:10.35834/mjms/1312233136.
Hayes, Brian (September 2014). "Pencil, Paper, and Pi". American Scientist. Vol. 102, no. 5. p. 342. doi:10.1511/2014.110.342. Retrieved 13 February 2022.
Reitwiesner, G. (1950). "An ENIAC determination of 𝜋 and 𝑒 to more than 2000 decimal places". Mathematics of Computation. 4 (29): 11–15. doi:10.1090/S0025-5718-1950-0037597-6.
Nicholson, S. C.; Jeenel, J. (1955). "Some comments on a NORC computation of 𝜋". Mathematics of Computation. 9 (52): 162–164. doi:10.1090/S0025-5718-1955-0075672-5.
G. E. Felton, "Electronic computers and mathematicians," Abbreviated Proceedings of the Oxford Mathematical Conference for Schoolteachers and Industrialists at Trinity College, Oxford, April 8–18, 1957, pp. 12–17, footnote pp. 12–53. This published result is correct to only 7480D, as was established by Felton in a second calculation, using formula (5), completed in 1958 but apparently unpublished. For a detailed account of calculations of π see Wrench, J. W. Jr. (1960). "The evolution of extended decimal approximations to π". The Mathematics Teacher. 53 (8): 644–650. doi:10.5951/MT.53.8.0644. JSTOR 27956272.
Shanks, Daniel; Wrench, John W. J.r (1962). "Calculation of π to 100,000 decimals". Mathematics of Computation. 16 (77): 76–99. doi:10.1090/S0025-5718-1962-0136051-9.
Kanada, Y. (November 1988). "Vectorization of multiple-precision arithmetic program and 201,326,000 decimal digits of pi calculation". Proceedings Supercomputing Vol.II: Science and Applications. pp. 117–128 vol.2. doi:10.1109/SUPERC.1988.74139. ISBN 0-8186-8923-4. S2CID 122820709.

encyclopedia.com

Bigger slices of Pi (determination of the numerical value of pi reaches 2.16 billion decimal digits) Science News 24 August 1991 http://www.encyclopedia.com/doc/1G1-11235156.html

fhgr.ch

"Pi-Challenge - world record attempt by UAS Grisons - University of Applied Sciences of the Grisons". www.fhgr.ch. 2021-08-14. Archived from the original on 2021-08-17. Retrieved 2021-08-17.
"Die FH Graubünden kennt Pi am genauesten – Weltrekord! - News - FH Graubünden". www.fhgr.ch (in German). 2021-08-16. Archived from the original on 2021-08-17. Retrieved 2021-08-17.

handle.net

hdl.handle.net

Romanus, Adrianus (1593). Ideae mathematicae pars prima, sive methodus polygonorum (in Latin). apud Ioannem Keerbergium. hdl:2027/ucm.5320258006.

ieee.org

ieeexplore.ieee.org

Kanada, Y. (November 1988). "Vectorization of multiple-precision arithmetic program and 201,326,000 decimal digits of pi calculation". Proceedings Supercomputing Vol.II: Science and Applications. pp. 117–128 vol.2. doi:10.1109/SUPERC.1988.74139. ISBN 0-8186-8923-4. S2CID 122820709.

insa.nic.in

Bag, A. K. (1980). "Indian Literature on Mathematics During 1400–1800 A.D." (PDF). Indian Journal of History of Science. 15 (1): 86. $π$ ≈ 2,827,433,388,233/9×10⁻¹¹ = 3.14159 26535 92222..., good to 10 decimal places.

jstor.org

G. E. Felton, "Electronic computers and mathematicians," Abbreviated Proceedings of the Oxford Mathematical Conference for Schoolteachers and Industrialists at Trinity College, Oxford, April 8–18, 1957, pp. 12–17, footnote pp. 12–53. This published result is correct to only 7480D, as was established by Felton in a second calculation, using formula (5), completed in 1958 but apparently unpublished. For a detailed account of calculations of π see Wrench, J. W. Jr. (1960). "The evolution of extended decimal approximations to π". The Mathematics Teacher. 53 (8): 644–650. doi:10.5951/MT.53.8.0644. JSTOR 27956272.

lbl.gov

crd-legacy.lbl.gov

David H. Bailey; Jonathan M. Borwein; Peter B. Borwein; Simon Plouffe (1997). "The quest for pi" (PDF). Mathematical Intelligencer. 19 (1): 50–57. doi:10.1007/BF03024340. S2CID 14318695.

numberworld.org

"y-cruncher validation file".
"y-cruncher – A Multi-Threaded Pi Program". numberworld.org. Retrieved 28 August 2015.
"Pi – 5 Trillion Digits". numberworld.org. Retrieved 28 August 2015.
"Pi – 10 Trillion Digits". numberworld.org. Retrieved 28 August 2015.
"Pi – 12.1 Trillion Digits". numberworld.org. Retrieved 28 August 2015.
"Pi: Notable large computations". numberworld.org. Retrieved 16 March 2024.
"Pi: Notable large computations". numberworld.org. Retrieved 16 March 2024.
"Google Cloud Topples the Pi Record". Retrieved 14 March 2019.
"The Pi Record Returns to the Personal Computer". Retrieved 30 January 2020.
"100 Trillion Digits of Pi". numberworld.org. Retrieved 2022-06-10.
"The Need for Speed!". numberworld.org. 19 April 2023. Retrieved 2023-12-25.
Yee, Alexander J. (2024-03-14). "Limping to a new Pi Record of 105 Trillion Digits". NumberWorld.org. Retrieved 2024-03-16.
Yee, Alexander J. (2024-06-28). "Pi Record Smashed at 202 Trillion Digits". NumberWorld.org. Retrieved 2024-06-30.

pi2e.ch

"pi2e". pi2e.ch. Retrieved 15 November 2016.
"Hexadecimal Digits are Correct! – pi2e trillion digits of pi". pi2e.ch. 31 October 2016. Retrieved 15 November 2016.

plouffe.fr

Kanada, Yasumasa. "plouffe.fr/simon/constants/Pi68billion.txt". www.plouffe.fr. Archived from the original on 5 August 2022.

rutgers.edu

sites.math.rutgers.edu

Wilson, David (2000). "The History of Pi". sites.math.rutgers.edu. University Of Rutgers. Archived from the original on 7 May 2023.

sciencenews.org

"Computers". Science News. 24 August 1991. Retrieved 2022-08-04.

semanticscholar.org

api.semanticscholar.org

David H. Bailey; Jonathan M. Borwein; Peter B. Borwein; Simon Plouffe (1997). "The quest for pi" (PDF). Mathematical Intelligencer. 19 (1): 50–57. doi:10.1007/BF03024340. S2CID 14318695.
Jadhav, Dipak (2018-01-01). "On The Value Implied In The Data Referred To In The Mahābhārata for π". Vidyottama Sanatana: International Journal of Hindu Science and Religious Studies. 2 (1): 18. doi:10.25078/ijhsrs.v2i1.511. ISSN 2550-0651. S2CID 146074061.
Kanada, Y. (November 1988). "Vectorization of multiple-precision arithmetic program and 201,326,000 decimal digits of pi calculation". Proceedings Supercomputing Vol.II: Science and Applications. pp. 117–128 vol.2. doi:10.1109/SUPERC.1988.74139. ISBN 0-8186-8923-4. S2CID 122820709.
Bellard, Fabrice (11 Feb 2010). "Computation of 2700 billion decimal digits of Pi using a Desktop Computer" (PDF). 4th revision. S2CID 12242318.

sfu.ca

cecm.sfu.ca

"GENERAL COMPUTATIONAL UPDATE". www.cecm.sfu.ca. Retrieved 2022-08-04.
"Record for pi : 206 billion decimal digits". www.cecm.sfu.ca. Retrieved 2022-08-04.

oldweb.cecm.sfu.ca

"Record for pi : 51.5 billion decimal digits". 2005-12-24. Archived from the original on 2005-12-24. Retrieved 2022-08-04.

southernct.edu

Vega, Géorge (1795) [1789]. "Detérmination de la demi-circonférence d'un cercle dont le diameter est $= 1$ , exprimée en $140$ figures decimals". Supplement. Nova Acta Academiae Scientiarum Petropolitanae. 11: 41–44.
Sandifer, Ed (2006). "Why 140 Digits of Pi Matter" (PDF). Southern Connecticut State University. Archived from the original (PDF) on 2012-02-04.

st-and.ac.uk

www-history.mcs.st-and.ac.uk

"4 II. Sulba Sutras". www-history.mcs.st-and.ac.uk.

st-andrews.ac.uk

mathshistory.st-andrews.ac.uk

approximated 2π to 9 sexagesimal digits. Al-Kashi, author: Adolf P. Youschkevitch, chief editor: Boris A. Rosenfeld, p. 256 O'Connor, John J.; Robertson, Edmund F., "Ghiyath al-Din Jamshid Mas'ud al-Kashi", MacTutor History of Mathematics Archive, University of St Andrews Azarian, Mohammad K. (2010). "Al-Risāla Al-Muhītīyya: A Summary". Missouri Journal of Mathematical Sciences. 22 (2): 64–85. doi:10.35834/mjms/1312233136.

storagereview.com

"StorageReview Calculated 100 Trillion Digits of Pi in 54 days, Besting Google Cloud". storagereview.com. 18 April 2023. Retrieved 2023-12-02.
Ranous, Jordan (2024-03-13). "105 Trillion Pi Digits: The Journey to a New Pi Calculation Record". StorageReview.com. Retrieved 2024-03-14.
Ranous, Jordan (2024-06-28). "StorageReview Lab Breaks Pi Calculation World Record with Over 202 Trillion Digits". StorageReview.com. Retrieved 2024-07-02.

super-computing.org

"Archived copy". Archived from the original on 2011-03-12. Retrieved 2010-07-08.{{cite web}}: CS1 maint: archived copy as title (link)

timothymullican.com

blog.timothymullican.com

"Calculating Pi: My attempt at breaking the Pi World Record". 26 June 2019. Retrieved 30 January 2020.

tsukuba.ac.jp

hpcs.is.tsukuba.ac.jp

"Archived copy". Archived from the original on 2009-08-23. Retrieved 2009-08-18.{{cite web}}: CS1 maint: archived copy as title (link)

uu.nl

cs.uu.nl

Lopez-Ortiz, Alex (February 20, 1998). "Indiana Bill sets value of Pi to 3". the news.answers WWW archive. Department of Information and Computing Sciences, Utrecht University. Archived from the original on 2005-01-09. Retrieved 2009-02-01.

web.archive.org

Wilson, David (2000). "The History of Pi". sites.math.rutgers.edu. University Of Rutgers. Archived from the original on 7 May 2023.
Grienbergerus, Christophorus (1630). Elementa Trigonometrica (PDF) (in Latin). Archived from the original (PDF) on 2014-02-01.
Vega, Géorge (1795) [1789]. "Detérmination de la demi-circonférence d'un cercle dont le diameter est $= 1$ , exprimée en $140$ figures decimals". Supplement. Nova Acta Academiae Scientiarum Petropolitanae. 11: 41–44.
Sandifer, Ed (2006). "Why 140 Digits of Pi Matter" (PDF). Southern Connecticut State University. Archived from the original (PDF) on 2012-02-04.
Lopez-Ortiz, Alex (February 20, 1998). "Indiana Bill sets value of Pi to 3". the news.answers WWW archive. Department of Information and Computing Sciences, Utrecht University. Archived from the original on 2005-01-09. Retrieved 2009-02-01.
"Record for pi : 51.5 billion decimal digits". 2005-12-24. Archived from the original on 2005-12-24. Retrieved 2022-08-04.
Kanada, Yasumasa. "plouffe.fr/simon/constants/Pi68billion.txt". www.plouffe.fr. Archived from the original on 5 August 2022.
"Archived copy". Archived from the original on 2011-03-12. Retrieved 2010-07-08.{{cite web}}: CS1 maint: archived copy as title (link)
"Archived copy". Archived from the original on 2009-08-23. Retrieved 2009-08-18.{{cite web}}: CS1 maint: archived copy as title (link)
"PI-world". calico.jp. Archived from the original on 31 August 2015. Retrieved 28 August 2015.
"Pi-Challenge - world record attempt by UAS Grisons - University of Applied Sciences of the Grisons". www.fhgr.ch. 2021-08-14. Archived from the original on 2021-08-17. Retrieved 2021-08-17.
"Die FH Graubünden kennt Pi am genauesten – Weltrekord! - News - FH Graubünden". www.fhgr.ch (in German). 2021-08-16. Archived from the original on 2021-08-17. Retrieved 2021-08-17.

worldcat.org

search.worldcat.org

Jadhav, Dipak (2018-01-01). "On The Value Implied In The Data Referred To In The Mahābhārata for π". Vidyottama Sanatana: International Journal of Hindu Science and Religious Studies. 2 (1): 18. doi:10.25078/ijhsrs.v2i1.511. ISSN 2550-0651. S2CID 146074061.