Cantor set (English Wikipedia)
Analysis of information sources in references of the Wikipedia article "Cantor set" in English language version.
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amazon.com (Global: 105th place; English: 79th place)
- Willard, Stephen (1968). General Topology. Addison-Wesley. ASIN B0000EG7Q0.
archive.org (Global: 6th place; English: 6th place)
- Ferreirós, José (1999). Labyrinth of Thought: A History of Set Theory and Its Role in Modern Mathematics. Basel, Switzerland: Birkhäuser Verlag. pp. 162–165. ISBN 9783034850513.
- Peitgen, H.-O.; Jürgens, H.; Saupe, D. (2004). Chaos and Fractals: New Frontiers of Science (2nd ed.). N.Y., N.Y.: Springer Verlag. p. 65. ISBN 978-1-4684-9396-2.
- Carothers, N. L. (2000). Real Analysis. Cambridge: Cambridge University Press. pp. 31–32. ISBN 978-0-521-69624-1.
books.google.com (Global: 3rd place; English: 3rd place)
- Helmberg, Gilbert (2007). Getting Acquainted With Fractals. Walter de Gruyter. p. 46. ISBN 978-3-11-019092-2.
- Helmberg, Gilbert (2007). Getting Acquainted With Fractals. Walter de Gruyter. p. 48. ISBN 978-3-11-019092-2.
digizeitschriften.de (Global: 5,626th place; English: 8,880th place)
- The "Cantor set" was also discovered by Paul du Bois-Reymond (1831–1889). See du Bois-Reymond, Paul (1880), "Der Beweis des Fundamentalsatzes der Integralrechnung", Mathematische Annalen (in German), 16, footnote on p. 128. The "Cantor set" was also discovered in 1881 by Vito Volterra (1860–1940). See: Volterra, Vito (1881), "Alcune osservazioni sulle funzioni punteggiate discontinue" [Some observations on point-wise discontinuous function], Giornale di Matematiche (in Italian), 19: 76–86.
- Cantor, Georg (1883). "Über unendliche, lineare Punktmannigfaltigkeiten V" [On infinite, linear point-manifolds (sets), Part 5]. Mathematische Annalen (in German). 21: 545–591. doi:10.1007/bf01446819. S2CID 121930608. Archived from the original on 2015-09-24. Retrieved 2011-01-10.
doi.org (Global: 2nd place; English: 2nd place)
- Cantor, Georg (1883). "Über unendliche, lineare Punktmannigfaltigkeiten V" [On infinite, linear point-manifolds (sets), Part 5]. Mathematische Annalen (in German). 21: 545–591. doi:10.1007/bf01446819. S2CID 121930608. Archived from the original on 2015-09-24. Retrieved 2011-01-10.
- Kechris, Alexander S. (1995). Classical Descriptive Set Theory. Graduate Texts in Mathematics. Vol. 156. Springer New York, NY. pp. 31, 35. doi:10.1007/978-1-4612-4190-4. ISBN 978-0-387-94374-9.
- Soltanifar, Mohsen (2006). "A Different Description of A Family of Middle-a Cantor Sets". American Journal of Undergraduate Research. 5 (2): 9–12. doi:10.33697/ajur.2006.014.
- Belcastro, Sarah-Marie; Green, Michael (January 2001), "The Cantor set contains ? Really?", The College Mathematics Journal, 32 (1): 55, doi:10.2307/2687224, JSTOR 2687224
- Fleron, Julian F. (1994). "A Note on the History of the Cantor Set and Cantor Function". Mathematics Magazine. 67 (2): 136–140. doi:10.2307/2690689. ISSN 0025-570X. JSTOR 2690689.
jamesrmeyer.com (Global: low place; English: low place)
- Cantor, Georg (2021). ""Foundations of a general theory of sets: A mathematical-philosophical investigation into the theory of the infinite", English translation by James R Meyer". www.jamesrmeyer.com. Footnote 22 in Section 10. Retrieved 2022-05-16.
jstor.org (Global: 26th place; English: 20th place)
- Belcastro, Sarah-Marie; Green, Michael (January 2001), "The Cantor set contains ? Really?", The College Mathematics Journal, 32 (1): 55, doi:10.2307/2687224, JSTOR 2687224
- Fleron, Julian F. (1994). "A Note on the History of the Cantor Set and Cantor Function". Mathematics Magazine. 67 (2): 136–140. doi:10.2307/2690689. ISSN 0025-570X. JSTOR 2690689.
semanticscholar.org (Global: 11th place; English: 8th place)
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- Cantor, Georg (1883). "Über unendliche, lineare Punktmannigfaltigkeiten V" [On infinite, linear point-manifolds (sets), Part 5]. Mathematische Annalen (in German). 21: 545–591. doi:10.1007/bf01446819. S2CID 121930608. Archived from the original on 2015-09-24. Retrieved 2011-01-10.
springer.com (Global: 274th place; English: 309th place)
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- Kechris, Alexander S. (1995). Classical Descriptive Set Theory. Graduate Texts in Mathematics. Vol. 156. Springer New York, NY. pp. 31, 35. doi:10.1007/978-1-4612-4190-4. ISBN 978-0-387-94374-9.
theoremoftheweek.wordpress.com (Global: low place; English: low place)
- Irvine, Laura. "Theorem 36: the Cantor set is an uncountable set with zero measure". Theorem of the week. Archived from the original on 2016-03-15. Retrieved 2012-09-27.
uba.ar (Global: 5,286th place; English: low place)
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- Falconer, K. J. (July 24, 1986). The Geometry of Fractal Sets (PDF). Cambridge University Press. pp. 14–15. ISBN 9780521337052.
web.archive.org (Global: 1st place; English: 1st place)
- Cantor, Georg (1883). "Über unendliche, lineare Punktmannigfaltigkeiten V" [On infinite, linear point-manifolds (sets), Part 5]. Mathematische Annalen (in German). 21: 545–591. doi:10.1007/bf01446819. S2CID 121930608. Archived from the original on 2015-09-24. Retrieved 2011-01-10.
- Irvine, Laura. "Theorem 36: the Cantor set is an uncountable set with zero measure". Theorem of the week. Archived from the original on 2016-03-15. Retrieved 2012-09-27.
worldcat.org (Global: 5th place; English: 5th place)
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- Mandelbrot, Benoit B. (1983). The fractal geometry of nature (Updated and augmented ed.). New York. ISBN 0-7167-1186-9. OCLC 36720923.
{{cite book}}: CS1 maint: location missing publisher (link) - Gelbaum, Bernard R. (1964). Counterexamples in analysis. Olmsted, John M. H. (John Meigs Hubbell), 1911-1997. San Francisco: Holden-Day. ISBN 0486428753. OCLC 527671.
{{cite book}}: ISBN / Date incompatibility (help) - Fleron, Julian F. (1994). "A Note on the History of the Cantor Set and Cantor Function". Mathematics Magazine. 67 (2): 136–140. doi:10.2307/2690689. ISSN 0025-570X. JSTOR 2690689.
zenodo.org (Global: 621st place; English: 380th place)
- Smith, Henry J.S. (1874). "On the integration of discontinuous functions". Proceedings of the London Mathematical Society. First series. 6: 140–153.