Irrational number (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Irrational number" in English language version.

Last modified: 18:21:57, 30 August 2026 (UTC)

Ref.Un. Ref.Website

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107doi.org

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96semanticscholar.org

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44jstor.org

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41adsabs.harvard.edu

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33imj-prg.fr

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22worldcat.org

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22archive.org

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22web.archive.org

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11wolfram.com

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11queuea9.wordpress.com

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11depaul.edu

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7,008^th place

adsabs.harvard.edu (Global: 14^th place; English: 9^th place)

ui.adsabs.harvard.edu

Matvievskaya, Galina (1987). "The theory of quadratic irrationals in medieval Oriental mathematics". Annals of the New York Academy of Sciences. 500 (1): 253–277. Bibcode:1987NYASA.500..253M. doi:10.1111/j.1749-6632.1987.tb37206.x. S2CID 121416910. See in particular pp. 254 & 259–260.

ams.org (Global: 434^th place; English: 249^th place)

mathscinet.ams.org

Fowler, David H. (2001), "The story of the discovery of incommensurability, revisited", Neusis (10): 45–61, MR 1891736

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

Cantor, Georg (1955) [1915]. Philip Jourdain (ed.). Contributions to the Founding of the Theory of Transfinite Numbers. New York: Dover. ISBN 978-0-486-60045-1. {{cite book}}: ISBN / Date incompatibility (help)
Salvatore Pincherle (1880). "Saggio di una introduzione alla teoria delle funzioni analitiche secondo i principii del prof. C. Weierstrass". Giornale di Matematiche: 178–254, 317–320.

cambridge.org (Global: 209^th place; English: 151^st place)

Jackson, Terence (2011-07-01). "95.42 Irrational square roots of natural numbers — a geometrical approach". The Mathematical Gazette. 95 (533): 327–330. doi:10.1017/S0025557200003193. ISSN 0025-5572. S2CID 123995083.

depaul.edu (Global: low place; English: 7,008^th place)

condor.depaul.edu

George, Alexander; Velleman, Daniel J. (2002). Philosophies of mathematics (PDF). Blackwell. pp. 3–4. ISBN 0-631-19544-0.

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

Jackson, Terence (2011-07-01). "95.42 Irrational square roots of natural numbers — a geometrical approach". The Mathematical Gazette. 95 (533): 327–330. doi:10.1017/S0025557200003193. ISSN 0025-5572. S2CID 123995083.
Kurt Von Fritz (1945). "The Discovery of Incommensurability by Hippasus of Metapontum". Annals of Mathematics. 46 (2): 242–264. doi:10.2307/1969021. JSTOR 1969021. S2CID 126296119.
James R. Choike (1980). "The Pentagram and the Discovery of an Irrational Number". The Two-Year College Mathematics Journal. 11 (5): 312–316. doi:10.2307/3026893. JSTOR 3026893. S2CID 115390951.
Robert L. McCabe (1976). "Theodorus' Irrationality Proofs". Mathematics Magazine. 49 (4): 201–203. doi:10.1080/0025570X.1976.11976579. JSTOR 2690123. S2CID 124565880..
Katz, V. J. (1995). "Ideas of Calculus in Islam and India". Mathematics Magazine. 63 (3): 163–174. doi:10.2307/2691411. JSTOR 2691411.
Matvievskaya, Galina (1987). "The theory of quadratic irrationals in medieval Oriental mathematics". Annals of the New York Academy of Sciences. 500 (1): 253–277. Bibcode:1987NYASA.500..253M. doi:10.1111/j.1749-6632.1987.tb37206.x. S2CID 121416910. See in particular pp. 254 & 259–260.
Gordan, Paul (1893). "Transcendenz von e und π". Mathematische Annalen. 43 (2–3). Teubner: 222–224. doi:10.1007/bf01443647. S2CID 123203471.

ias.ac.in (Global: 6,516^th place; English: 4,685^th place)

repository.ias.ac.in

Bag, Amulya Kumar (1990). "Ritual Geometry in India and its Parallelism in other Culture Areas". Indian Journal of History of Science. 25.

imj-prg.fr (Global: low place; English: low place)

webusers.imj-prg.fr

Waldschmidt, Michel (2021). "Schanuel's Conjecture: algebraic independence of transcendental numbers" (PDF).
Waldschmidt, Michel (2023). "Some of the most famous open problems in number theory" (PDF).
Waldschmidt, Michel (2022). "Transcendental Number Theory: recent results and open problems". Michel Waldschmidt.

insa.nic.in (Global: low place; English: low place)

Datta, Bibhutibhusan; Singh, Awadhesh Narayan (1993). "Surds in Hindu mathematics" (PDF). Indian Journal of History of Science. 28 (3): 253–264. Archived from the original (PDF) on 2018-10-03. Retrieved 18 September 2018.

jstor.org (Global: 23^rd place; English: 15^th place)

Kurt Von Fritz (1945). "The Discovery of Incommensurability by Hippasus of Metapontum". Annals of Mathematics. 46 (2): 242–264. doi:10.2307/1969021. JSTOR 1969021. S2CID 126296119.
James R. Choike (1980). "The Pentagram and the Discovery of an Irrational Number". The Two-Year College Mathematics Journal. 11 (5): 312–316. doi:10.2307/3026893. JSTOR 3026893. S2CID 115390951.
Robert L. McCabe (1976). "Theodorus' Irrationality Proofs". Mathematics Magazine. 49 (4): 201–203. doi:10.1080/0025570X.1976.11976579. JSTOR 2690123. S2CID 124565880..
Katz, V. J. (1995). "Ideas of Calculus in Islam and India". Mathematics Magazine. 63 (3): 163–174. doi:10.2307/2691411. JSTOR 2691411.

kuttaka.org (Global: low place; English: low place)

Lambert, J. H. (1761). "Mémoire sur quelques propriétés remarquables des quantités transcendentes, circulaires et logarithmiques" (PDF). Mémoires de l'Académie royale des sciences de Berlin (in French): 265–322. Archived (PDF) from the original on 2016-04-28.

queuea9.wordpress.com (Global: low place; English: low place)

Jarden, Dov (1953). "Curiosa No. 339: A simple proof that a power of an irrational number to an irrational exponent may be rational". Scripta Mathematica. 19: 229. copy

semanticscholar.org (Global: 15^th place; English: 8^th place)

api.semanticscholar.org

Jackson, Terence (2011-07-01). "95.42 Irrational square roots of natural numbers — a geometrical approach". The Mathematical Gazette. 95 (533): 327–330. doi:10.1017/S0025557200003193. ISSN 0025-5572. S2CID 123995083.
Kurt Von Fritz (1945). "The Discovery of Incommensurability by Hippasus of Metapontum". Annals of Mathematics. 46 (2): 242–264. doi:10.2307/1969021. JSTOR 1969021. S2CID 126296119.
James R. Choike (1980). "The Pentagram and the Discovery of an Irrational Number". The Two-Year College Mathematics Journal. 11 (5): 312–316. doi:10.2307/3026893. JSTOR 3026893. S2CID 115390951.
Robert L. McCabe (1976). "Theodorus' Irrationality Proofs". Mathematics Magazine. 49 (4): 201–203. doi:10.1080/0025570X.1976.11976579. JSTOR 2690123. S2CID 124565880..
Matvievskaya, Galina (1987). "The theory of quadratic irrationals in medieval Oriental mathematics". Annals of the New York Academy of Sciences. 500 (1): 253–277. Bibcode:1987NYASA.500..253M. doi:10.1111/j.1749-6632.1987.tb37206.x. S2CID 121416910. See in particular pp. 254 & 259–260.
Gordan, Paul (1893). "Transcendenz von e und π". Mathematische Annalen. 43 (2–3). Teubner: 222–224. doi:10.1007/bf01443647. S2CID 123203471.

st-andrews.ac.uk (Global: 1,053^rd place; English: 1,274^th place)

mathshistory.st-andrews.ac.uk

O'Connor, John J.; Robertson, Edmund F. (1999). "Arabic mathematics: forgotten brilliance?". MacTutor History of Mathematics Archive. University of St Andrews..

web.archive.org (Global: 1^st place; English: 1^st place)

Datta, Bibhutibhusan; Singh, Awadhesh Narayan (1993). "Surds in Hindu mathematics" (PDF). Indian Journal of History of Science. 28 (3): 253–264. Archived from the original (PDF) on 2018-10-03. Retrieved 18 September 2018.
Lambert, J. H. (1761). "Mémoire sur quelques propriétés remarquables des quantités transcendentes, circulaires et logarithmiques" (PDF). Mémoires de l'Académie royale des sciences de Berlin (in French): 265–322. Archived (PDF) from the original on 2016-04-28.

wisc.edu (Global: 891^st place; English: 533^rd place)

sprott.physics.wisc.edu

The 15 Most Famous Transcendental Numbers. by Clifford A. Pickover. URL retrieved 24 October 2007.

wolfram.com (Global: 1,091^st place; English: 1,169^th place)

mathworld.wolfram.com

Weisstein, Eric W. "Golden Ratio". MathWorld. Retrieved 2024-05-24.

worldcat.org (Global: 4^th place; English: 4^th place)

search.worldcat.org

Jackson, Terence (2011-07-01). "95.42 Irrational square roots of natural numbers — a geometrical approach". The Mathematical Gazette. 95 (533): 327–330. doi:10.1017/S0025557200003193. ISSN 0025-5572. S2CID 123995083.
Boyer (1991). "China and India". A History of Mathematics (2nd ed.). Wiley. p. 208. ISBN 0471093742. OCLC 414892. It has been claimed also that the first recognition of incommensurables appears in India during the Sulbasutra period, but such claims are not well substantiated. The case for early Hindu awareness of incommensurable magnitudes is rendered most unlikely by the lack of evidence that Indian mathematicians of that period had come to grips with fundamental concepts.

zenodo.org (Global: 737^th place; English: 426^th place)

Gordan, Paul (1893). "Transcendenz von e und π". Mathematische Annalen. 43 (2–3). Teubner: 222–224. doi:10.1007/bf01443647. S2CID 123203471.

Irrational number (English Wikipedia)

adsabs.harvard.edu (Global: 14th place; English: 9th place)

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semanticscholar.org (Global: 15th place; English: 8th place)

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st-andrews.ac.uk (Global: 1,053rd place; English: 1,274th place)

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web.archive.org (Global: 1st place; English: 1st place)

wisc.edu (Global: 891st place; English: 533rd place)

sprott.physics.wisc.edu

wolfram.com (Global: 1,091st place; English: 1,169th place)

mathworld.wolfram.com

worldcat.org (Global: 4th place; English: 4th place)

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zenodo.org (Global: 737th place; English: 426th place)

adsabs.harvard.edu (Global: 14^th place; English: 9^th place)

ams.org (Global: 434^th place; English: 249^th place)

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

cambridge.org (Global: 209^th place; English: 151^st place)

depaul.edu (Global: low place; English: 7,008^th place)

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

ias.ac.in (Global: 6,516^th place; English: 4,685^th place)

jstor.org (Global: 23^rd place; English: 15^th place)

semanticscholar.org (Global: 15^th place; English: 8^th place)

st-andrews.ac.uk (Global: 1,053^rd place; English: 1,274^th place)

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wisc.edu (Global: 891^st place; English: 533^rd place)

wolfram.com (Global: 1,091^st place; English: 1,169^th place)

worldcat.org (Global: 4^th place; English: 4^th place)

zenodo.org (Global: 737^th place; English: 426^th place)