Arithmetic–geometric mean (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Arithmetic–geometric mean" in English language version.

refsWebsite

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7doi.org

2^nd place

5ams.org

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4semanticscholar.org

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3springer.com

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2jstor.org

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2loc.gov

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1researchgate.net

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1wolframalpha.com

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1nist.gov

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1ubc.ca

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1archive.org

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1psu.edu

207^th place

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ams.org (Global: 451^st place; English: 277^th place)

mathscinet.ams.org

Carson, B. C. (2010). "Elliptic Integrals". In Olver, Frank W. J.; Lozier, Daniel M.; Boisvert, Ronald F.; Clark, Charles W. (eds.). NIST Handbook of Mathematical Functions. Cambridge University Press. ISBN 978-0-521-19225-5. MR 2723248..
Abramowitz, Milton; Stegun, Irene Ann, eds. (1983) [June 1964]. "Chapter 17". Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Applied Mathematics Series. Vol. 55 (Ninth reprint with additional corrections of tenth original printing with corrections (December 1972); first ed.). Washington D.C.; New York: United States Department of Commerce, National Bureau of Standards; Dover Publications. pp. 598–599. ISBN 978-0-486-61272-0. LCCN 64-60036. MR 0167642. LCCN 65-12253.
Salamin, Eugene (1976). "Computation of π using arithmetic–geometric mean". Mathematics of Computation. 30 (135): 565–570. doi:10.2307/2005327. JSTOR 2005327. MR 0404124.
Brent, Richard P. (1976). "Fast Multiple-Precision Evaluation of Elementary Functions". Journal of the ACM. 23 (2): 242–251. CiteSeerX 10.1.1.98.4721. doi:10.1145/321941.321944. MR 0395314. S2CID 6761843.
Borwein, Jonathan M.; Borwein, Peter B. (1987). Pi and the AGM. New York: Wiley. ISBN 0-471-83138-7. MR 0877728.

archive.org (Global: 6^th place; English: 6^th place)

King, Louis V. (1924). On the Direct Numerical Calculation of Elliptic Functions and Integrals. Cambridge University Press.

books.google.com (Global: 3^rd place; English: 3^rd place)

Dimopoulos, Hercules G. (2011). Analog Electronic Filters: Theory, Design and Synthesis. Springer. pp. 147–155. ISBN 978-94-007-2189-0.

deepdyve.com (Global: low place; English: low place)

Schneider, Theodor (1941). "Zur Theorie der Abelschen Funktionen und Integrale". Journal für die reine und angewandte Mathematik. 183 (19): 110–128. doi:10.1515/crll.1941.183.110. S2CID 118624331.

doi.org (Global: 2^nd place; English: 2^nd place)

Bullen, P. S. (2003). "The Arithmetic, Geometric and Harmonic Means". Handbook of Means and Their Inequalities. Dordrecht: Springer Netherlands. pp. 60–174. doi:10.1007/978-94-017-0399-4_2. ISBN 978-90-481-6383-0. Retrieved 2023-12-11.
Schneider, Theodor (1941). "Zur Theorie der Abelschen Funktionen und Integrale". Journal für die reine und angewandte Mathematik. 183 (19): 110–128. doi:10.1515/crll.1941.183.110. S2CID 118624331.
Todd, John (1975). "The Lemniscate Constants". Communications of the ACM. 18 (1): 14–19. doi:10.1145/360569.360580. S2CID 85873.
Newman, D. J. (1985). "A simplified version of the fast algorithms of Brent and Salamin". Mathematics of Computation. 44 (169): 207–210. doi:10.2307/2007804. JSTOR 2007804.
Salamin, Eugene (1976). "Computation of π using arithmetic–geometric mean". Mathematics of Computation. 30 (135): 565–570. doi:10.2307/2005327. JSTOR 2005327. MR 0404124.
Landen, John (1775). "An investigation of a general theorem for finding the length of any arc of any conic hyperbola, by means of two elliptic arcs, with some other new and useful theorems deduced therefrom". Philosophical Transactions of the Royal Society. 65: 283–289. doi:10.1098/rstl.1775.0028. S2CID 186208828.
Brent, Richard P. (1976). "Fast Multiple-Precision Evaluation of Elementary Functions". Journal of the ACM. 23 (2): 242–251. CiteSeerX 10.1.1.98.4721. doi:10.1145/321941.321944. MR 0395314. S2CID 6761843.

jstor.org (Global: 26^th place; English: 20^th place)

Newman, D. J. (1985). "A simplified version of the fast algorithms of Brent and Salamin". Mathematics of Computation. 44 (169): 207–210. doi:10.2307/2007804. JSTOR 2007804.
Salamin, Eugene (1976). "Computation of π using arithmetic–geometric mean". Mathematics of Computation. 30 (135): 565–570. doi:10.2307/2005327. JSTOR 2005327. MR 0404124.

loc.gov (Global: 70^th place; English: 63^rd place)

lccn.loc.gov

Abramowitz, Milton; Stegun, Irene Ann, eds. (1983) [June 1964]. "Chapter 17". Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Applied Mathematics Series. Vol. 55 (Ninth reprint with additional corrections of tenth original printing with corrections (December 1972); first ed.). Washington D.C.; New York: United States Department of Commerce, National Bureau of Standards; Dover Publications. pp. 598–599. ISBN 978-0-486-61272-0. LCCN 64-60036. MR 0167642. LCCN 65-12253.

loc.gov

Abramowitz, Milton; Stegun, Irene Ann, eds. (1983) [June 1964]. "Chapter 17". Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Applied Mathematics Series. Vol. 55 (Ninth reprint with additional corrections of tenth original printing with corrections (December 1972); first ed.). Washington D.C.; New York: United States Department of Commerce, National Bureau of Standards; Dover Publications. pp. 598–599. ISBN 978-0-486-61272-0. LCCN 64-60036. MR 0167642. LCCN 65-12253.

nist.gov (Global: 355^th place; English: 454^th place)

dlmf.nist.gov

Carson, B. C. (2010). "Elliptic Integrals". In Olver, Frank W. J.; Lozier, Daniel M.; Boisvert, Ronald F.; Clark, Charles W. (eds.). NIST Handbook of Mathematical Functions. Cambridge University Press. ISBN 978-0-521-19225-5. MR 2723248..

psu.edu (Global: 207^th place; English: 136^th place)

citeseerx.ist.psu.edu

Brent, Richard P. (1976). "Fast Multiple-Precision Evaluation of Elementary Functions". Journal of the ACM. 23 (2): 242–251. CiteSeerX 10.1.1.98.4721. doi:10.1145/321941.321944. MR 0395314. S2CID 6761843.

researchgate.net (Global: 120^th place; English: 125^th place)

Cox, David (January 1984). "The Arithmetic-Geometric Mean of Gauss". L'Enseignement Mathématique. 30 (2): 275–330.

semanticscholar.org (Global: 11^th place; English: 8^th place)

api.semanticscholar.org

Schneider, Theodor (1941). "Zur Theorie der Abelschen Funktionen und Integrale". Journal für die reine und angewandte Mathematik. 183 (19): 110–128. doi:10.1515/crll.1941.183.110. S2CID 118624331.
Todd, John (1975). "The Lemniscate Constants". Communications of the ACM. 18 (1): 14–19. doi:10.1145/360569.360580. S2CID 85873.
Landen, John (1775). "An investigation of a general theorem for finding the length of any arc of any conic hyperbola, by means of two elliptic arcs, with some other new and useful theorems deduced therefrom". Philosophical Transactions of the Royal Society. 65: 283–289. doi:10.1098/rstl.1775.0028. S2CID 186208828.
Brent, Richard P. (1976). "Fast Multiple-Precision Evaluation of Elementary Functions". Journal of the ACM. 23 (2): 242–251. CiteSeerX 10.1.1.98.4721. doi:10.1145/321941.321944. MR 0395314. S2CID 6761843.

springer.com (Global: 274^th place; English: 309^th place)

link.springer.com

Bullen, P. S. (2003). "The Arithmetic, Geometric and Harmonic Means". Handbook of Means and Their Inequalities. Dordrecht: Springer Netherlands. pp. 60–174. doi:10.1007/978-94-017-0399-4_2. ISBN 978-90-481-6383-0. Retrieved 2023-12-11.
Salamin, Eugene (1976). "Computation of π using arithmetic–geometric mean". Mathematics of Computation. 30 (135): 565–570. doi:10.2307/2005327. JSTOR 2005327. MR 0404124.
Brent, Richard P. (1976). "Fast Multiple-Precision Evaluation of Elementary Functions". Journal of the ACM. 23 (2): 242–251. CiteSeerX 10.1.1.98.4721. doi:10.1145/321941.321944. MR 0395314. S2CID 6761843.

ubc.ca (Global: 1,997^th place; English: 1,295^th place)

math.ubc.ca

Abramowitz, Milton; Stegun, Irene Ann, eds. (1983) [June 1964]. "Chapter 17". Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. Applied Mathematics Series. Vol. 55 (Ninth reprint with additional corrections of tenth original printing with corrections (December 1972); first ed.). Washington D.C.; New York: United States Department of Commerce, National Bureau of Standards; Dover Publications. pp. 598–599. ISBN 978-0-486-61272-0. LCCN 64-60036. MR 0167642. LCCN 65-12253.

wolframalpha.com (Global: 4,660^th place; English: 5,295^th place)

agm(24, 6) at Wolfram Alpha

Arithmetic–geometric mean (English Wikipedia)

ams.org (Global: 451st place; English: 277th place)

mathscinet.ams.org

archive.org (Global: 6th place; English: 6th place)

books.google.com (Global: 3rd place; English: 3rd place)

deepdyve.com (Global: low place; English: low place)

doi.org (Global: 2nd place; English: 2nd place)

jstor.org (Global: 26th place; English: 20th place)

loc.gov (Global: 70th place; English: 63rd place)