Real number (English Wikipedia)

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

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archive.org

Moschovakis, Yiannis N. (1980), "5. The Constructible Universe", Descriptive Set Theory, North-Holland, pp. 274–285, ISBN 978-0-444-85305-9
Beckmann, Petr (1971). A History of $π$ (PI). St. Martin's Press. p. 170. ISBN 9780312381851.
Schumacher, Carol (1996). Chapter Zero: Fundamental Notions of Abstract Mathematics. Addison-Wesley. pp. 114–115. ISBN 9780201826531.

arxiv.org

Wheeler, John Archibald (1986). "Hermann Weyl and the Unity of Knowledge: In the linkage of four mysteries—the "how come" of existence, time, the mathematical continuum, and the discontinuous yes-or-no of quantum physics—may lie the key to deep new insight". American Scientist. 74 (4): 366–75. Bibcode:1986AmSci..74..366W. JSTOR 27854250.
Bengtsson, Ingemar (2017). "The Number Behind the Simplest SIC-POVM". Foundations of Physics. 47 (8): 1031–41. arXiv:1611.09087. Bibcode:2017FoPh...47.1031B. doi:10.1007/s10701-017-0078-3. S2CID 118954904.

books.google.com

Arndt, Jörg; Haenel, Christoph (2001), Pi Unleashed, Springer, p. 192, ISBN 978-3-540-66572-4, retrieved 2015-11-15.
Dunham, William (2015), The Calculus Gallery: Masterpieces from Newton to Lebesgue, Princeton University Press, p. 127, ISBN 978-1-4008-6679-3, retrieved 2015-02-17, Cantor found a remarkable shortcut to reach Liouville's conclusion with a fraction of the work
Hein, James L. (2010), "14.1.1", Discrete Structures, Logic, and Computability (3 ed.), Sudbury, MA: Jones and Bartlett Publishers, ISBN 97-80763772062, retrieved 2015-11-15

britannica.com

"Real number". Encyclopedia Britannica.

doi.org

Matvievskaya, Galina (1987), "The Theory of Quadratic Irrationals in Medieval Oriental Mathematics", Annals of the New York Academy of Sciences, 500 (1): 253–77 [254], Bibcode:1987NYASA.500..253M, doi:10.1111/j.1749-6632.1987.tb37206.x, S2CID 121416910
Gordan, Paul (1893). "Transcendenz von e und π". Mathematische Annalen. 43 (2–3): 222–224. doi:10.1007/bf01443647. S2CID 123203471.
Wheeler, John Archibald (1986). "Hermann Weyl and the Unity of Knowledge: In the linkage of four mysteries—the "how come" of existence, time, the mathematical continuum, and the discontinuous yes-or-no of quantum physics—may lie the key to deep new insight". American Scientist. 74 (4): 366–75. Bibcode:1986AmSci..74..366W. JSTOR 27854250.
Bengtsson, Ingemar (2017). "The Number Behind the Simplest SIC-POVM". Foundations of Physics. 47 (8): 1031–41. arXiv:1611.09087. Bibcode:2017FoPh...47.1031B. doi:10.1007/s10701-017-0078-3. S2CID 118954904.
Trefethen, Lloyd N. (2007). "Computing numerically with functions instead of numbers" (PDF). Mathematics in Computer Science. 1 (1): 9–19. doi:10.1007/s11786-007-0001-y.

ens.fr

culturemath.ens.fr

École Normale Supérieure of Paris, "Nombres réels" ("Real numbers") Archived 2014-05-08 at the Wayback Machine, p. 6

harvard.edu

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): 253–77 [254], Bibcode:1987NYASA.500..253M, doi:10.1111/j.1749-6632.1987.tb37206.x, S2CID 121416910
Wheeler, John Archibald (1986). "Hermann Weyl and the Unity of Knowledge: In the linkage of four mysteries—the "how come" of existence, time, the mathematical continuum, and the discontinuous yes-or-no of quantum physics—may lie the key to deep new insight". American Scientist. 74 (4): 366–75. Bibcode:1986AmSci..74..366W. JSTOR 27854250.
Bengtsson, Ingemar (2017). "The Number Behind the Simplest SIC-POVM". Foundations of Physics. 47 (8): 1031–41. arXiv:1611.09087. Bibcode:2017FoPh...47.1031B. doi:10.1007/s10701-017-0078-3. S2CID 118954904.

jstor.org

Wheeler, John Archibald (1986). "Hermann Weyl and the Unity of Knowledge: In the linkage of four mysteries—the "how come" of existence, time, the mathematical continuum, and the discontinuous yes-or-no of quantum physics—may lie the key to deep new insight". American Scientist. 74 (4): 366–75. Bibcode:1986AmSci..74..366W. JSTOR 27854250.
Bengtsson, Ingemar (2017). "The Number Behind the Simplest SIC-POVM". Foundations of Physics. 47 (8): 1031–41. arXiv:1611.09087. Bibcode:2017FoPh...47.1031B. doi:10.1007/s10701-017-0078-3. S2CID 118954904.

mit.edu

math.mit.edu

"Lecture #1" (PDF). 18.095 Lecture Series in Mathematics. 2015-01-05.

oed.com

"real". Oxford English Dictionary (3rd ed.). 2008. 'real', n.2, B.4. Mathematics. A real number. Usually in plural

ox.ac.uk

people.maths.ox.ac.uk

Trefethen, Lloyd N. (2007). "Computing numerically with functions instead of numbers" (PDF). Mathematics in Computer Science. 1 (1): 9–19. doi:10.1007/s11786-007-0001-y.

oxfordreference.com

"Real number". Oxford Reference. 2011-08-03.

semanticscholar.org

api.semanticscholar.org

Matvievskaya, Galina (1987), "The Theory of Quadratic Irrationals in Medieval Oriental Mathematics", Annals of the New York Academy of Sciences, 500 (1): 253–77 [254], Bibcode:1987NYASA.500..253M, doi:10.1111/j.1749-6632.1987.tb37206.x, S2CID 121416910
Gordan, Paul (1893). "Transcendenz von e und π". Mathematische Annalen. 43 (2–3): 222–224. doi:10.1007/bf01443647. S2CID 123203471.
Wheeler, John Archibald (1986). "Hermann Weyl and the Unity of Knowledge: In the linkage of four mysteries—the "how come" of existence, time, the mathematical continuum, and the discontinuous yes-or-no of quantum physics—may lie the key to deep new insight". American Scientist. 74 (4): 366–75. Bibcode:1986AmSci..74..366W. JSTOR 27854250.
Bengtsson, Ingemar (2017). "The Number Behind the Simplest SIC-POVM". Foundations of Physics. 47 (8): 1031–41. arXiv:1611.09087. Bibcode:2017FoPh...47.1031B. doi:10.1007/s10701-017-0078-3. S2CID 118954904.

st-andrews.ac.uk

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

stanford.edu

plato.stanford.edu

Koellner, Peter (2013). "The Continuum Hypothesis". In Zalta, Edward N. (ed.). The Stanford Encyclopedia of Philosophy. Stanford University.

web.archive.org

École Normale Supérieure of Paris, "Nombres réels" ("Real numbers") Archived 2014-05-08 at the Wayback Machine, p. 6

wolfram.com

mathworld.wolfram.com

Weisstein, Eric W. "Real Number". Wolfram MathWorld. Retrieved 2020-08-11.

zenodo.org

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