Continuous function (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Continuous function" in English language version.

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archive.org

Gierz, G.; Hofmann, K. H.; Keimel, K.; Lawson, J. D.; Mislove, M. W.; Scott, D. S. (2003). Continuous Lattices and Domains. Encyclopedia of Mathematics and its Applications. Vol. 93. Cambridge University Press. ISBN 0521803381.

books.google.com

Jordan, M.C. (1893), Cours d'analyse de l'École polytechnique, vol. 1 (2nd ed.), Paris: Gauthier-Villars, p. 46
Strang, Gilbert (1991). Calculus. SIAM. p. 702. ISBN 0961408820.
Searcóid, Mícheál Ó (2006), Metric spaces, Springer undergraduate mathematics series, Berlin, New York: Springer-Verlag, ISBN 978-1-84628-369-7, section 9.4
Shurman, Jerry (2016). Calculus and Analysis in Euclidean Space (illustrated ed.). Springer. pp. 271–272. ISBN 978-3-319-49314-5.

dml.cz

Bolzano, Bernard (1817). "Rein analytischer Beweis des Lehrsatzes daß zwischen je zwey Werthen, die ein entgegengesetzetes Resultat gewähren, wenigstens eine reelle Wurzel der Gleichung liege". Prague: Haase.

doi.org

Dugac, Pierre (1973), "Eléments d'Analyse de Karl Weierstrass", Archive for History of Exact Sciences, 10 (1–2): 41–176, doi:10.1007/bf00343406, S2CID 122843140
Harper, J.F. (2016), "Defining continuity of real functions of real variables", BSHM Bulletin: Journal of the British Society for the History of Mathematics, 31 (3): 1–16, doi:10.1080/17498430.2015.1116053, S2CID 123997123
Rusnock, P.; Kerr-Lawson, A. (2005), "Bolzano and uniform continuity", Historia Mathematica, 32 (3): 303–311, doi:10.1016/j.hm.2004.11.003
Flagg, R. C. (1997). "Quantales and continuity spaces". Algebra Universalis. 37 (3): 257–276. CiteSeerX 10.1.1.48.851. doi:10.1007/s000120050018. S2CID 17603865.
Kopperman, R. (1988). "All topologies come from generalized metrics". American Mathematical Monthly. 95 (2): 89–97. doi:10.2307/2323060. JSTOR 2323060.
Flagg, B.; Kopperman, R. (1997). "Continuity spaces: Reconciling domains and metric spaces". Theoretical Computer Science. 177 (1): 111–138. doi:10.1016/S0304-3975(97)00236-3.

jstor.org

Kopperman, R. (1988). "All topologies come from generalized metrics". American Mathematical Monthly. 95 (2): 89–97. doi:10.2307/2323060. JSTOR 2323060.

mit.edu

math.mit.edu

Speck, Jared (2014). "Continuity and Discontinuity" (PDF). MIT Math. p. 3. Archived from the original (PDF) on 2016-10-06. Retrieved 2016-09-02. Example 5. The function $1/x$ is continuous on $(0,\infty )$ and on $(-\infty ,0),$ , i.e., for $x>0$ and for $x<0,$ in other words, at every point in its domain. However, it is not a continuous function since its domain is not an interval. It has a single point of discontinuity, namely $x=0,$ , and an infinite discontinuity there.

psu.edu

citeseerx.ist.psu.edu

Flagg, R. C. (1997). "Quantales and continuity spaces". Algebra Universalis. 37 (3): 257–276. CiteSeerX 10.1.1.48.851. doi:10.1007/s000120050018. S2CID 17603865.

semanticscholar.org

api.semanticscholar.org

Dugac, Pierre (1973), "Eléments d'Analyse de Karl Weierstrass", Archive for History of Exact Sciences, 10 (1–2): 41–176, doi:10.1007/bf00343406, S2CID 122843140
Harper, J.F. (2016), "Defining continuity of real functions of real variables", BSHM Bulletin: Journal of the British Society for the History of Mathematics, 31 (3): 1–16, doi:10.1080/17498430.2015.1116053, S2CID 123997123
Flagg, R. C. (1997). "Quantales and continuity spaces". Algebra Universalis. 37 (3): 257–276. CiteSeerX 10.1.1.48.851. doi:10.1007/s000120050018. S2CID 17603865.

stackexchange.com

math.stackexchange.com

"general topology - Continuity and interior". Mathematics Stack Exchange.

trinity.edu

ramanujan.math.trinity.edu

Introduction to Real Analysis, updated April 2010, William F. Trench, Theorem 3.5.2, p. 172
Introduction to Real Analysis, updated April 2010, William F. Trench, 3.5 "A More Advanced Look at the Existence of the Proper Riemann Integral", pp. 171–177

web.archive.org

Speck, Jared (2014). "Continuity and Discontinuity" (PDF). MIT Math. p. 3. Archived from the original (PDF) on 2016-10-06. Retrieved 2016-09-02. Example 5. The function $1/x$ is continuous on $(0,\infty )$ and on $(-\infty ,0),$ , i.e., for $x>0$ and for $x<0,$ in other words, at every point in its domain. However, it is not a continuous function since its domain is not an interval. It has a single point of discontinuity, namely $x=0,$ , and an infinite discontinuity there.

wisc.edu

math.wisc.edu

"Elementary Calculus". wisc.edu.

worldcat.org

Dugundji 1966, pp. 211–221. Dugundji, James (1966). Topology. Boston: Allyn and Bacon. ISBN 978-0-697-06889-7. OCLC 395340485.