Irrational number (English Wikipedia)

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

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ams.org

mathscinet.ams.org

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

archive.org

cambridge.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.

depaul.edu

condor.depaul.edu

doi.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..
  • 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.

harvard.edu

ui.adsabs.harvard.edu

ias.ac.in

repository.ias.ac.in

imj-prg.fr

webusers.imj-prg.fr

insa.nic.in

  • 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

kuttaka.org

queuea9.wordpress.com

  • 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

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

mathshistory.st-andrews.ac.uk

web.archive.org

wisc.edu

sprott.physics.wisc.edu

worldcat.org

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