Intermediate value theorem (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Intermediate value theorem" in English language version.

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Bos, Henk J. M. (2001). "The legitimation of geometrical procedures before 1590". Redefining Geometrical Exactness: Descartes' Transformation of the Early Modern Concept of Construction. Sources and Studies in the History of Mathematics and Physical Sciences. New York: Springer. pp. 23–36. doi:10.1007/978-1-4613-0087-8_2. MR 1800805.

archive.org

Rudin, Walter (1976). Principles of Mathematical Analysis. New York: McGraw-Hill. pp. 42, 93. ISBN 978-0-07-054235-8.

arxiv.org

Sanders, Sam (2017). "Nonstandard Analysis and Constructivism!". arXiv:1704.00281 [math.LO].
Matthew Frank (July 14, 2020). "Interpolating Between Choices for the Approximate Intermediate Value Theorem". Logical Methods in Computer Science. 16 (3). arXiv:1701.02227. doi:10.23638/LMCS-16(3:5)2020.

books.google.com

Smorynski, Craig (2017-04-07). MVT: A Most Valuable Theorem. Springer. ISBN 9783319529561.

doi.org

Cates, Dennis M. (2019). Cauchy's Calcul Infinitésimal. p. 249. doi:10.1007/978-3-030-11036-9. ISBN 978-3-030-11035-2. S2CID 132587955.
Bos, Henk J. M. (2001). "The legitimation of geometrical procedures before 1590". Redefining Geometrical Exactness: Descartes' Transformation of the Early Modern Concept of Construction. Sources and Studies in the History of Mathematics and Physical Sciences. New York: Springer. pp. 23–36. doi:10.1007/978-1-4613-0087-8_2. MR 1800805.
Russ, S.B. (1980). "A translation of Bolzano's paper on the intermediate value theorem". Historia Mathematica. 7 (2): 156–185. doi:10.1016/0315-0860(80)90036-1.
Grabiner, Judith V. (March 1983). "Who Gave You the Epsilon? Cauchy and the Origins of Rigorous Calculus" (PDF). The American Mathematical Monthly. 90 (3): 185–194. doi:10.2307/2975545. JSTOR 2975545.
Karin Usadi Katz and Mikhail G. Katz (2011) A Burgessian Critique of Nominalistic Tendencies in Contemporary Mathematics and its Historiography. Foundations of Science. doi:10.1007/s10699-011-9223-1 See link
Vrahatis, Michael N. (2016-04-01). "Generalization of the Bolzano theorem for simplices". Topology and Its Applications. 202: 40–46. doi:10.1016/j.topol.2015.12.066. ISSN 0166-8641.
Vrahatis, Michael N. (2020-04-15). "Intermediate value theorem for simplices for simplicial approximation of fixed points and zeros". Topology and Its Applications. 275: 107036. doi:10.1016/j.topol.2019.107036. ISSN 0166-8641.
Matthew Frank (July 14, 2020). "Interpolating Between Choices for the Approximate Intermediate Value Theorem". Logical Methods in Computer Science. 16 (3). arXiv:1701.02227. doi:10.23638/LMCS-16(3:5)2020.

jstor.org

Grabiner, Judith V. (March 1983). "Who Gave You the Epsilon? Cauchy and the Origins of Rigorous Calculus" (PDF). The American Mathematical Monthly. 90 (3): 185–194. doi:10.2307/2975545. JSTOR 2975545.

maa.org

Grabiner, Judith V. (March 1983). "Who Gave You the Epsilon? Cauchy and the Origins of Rigorous Calculus" (PDF). The American Mathematical Monthly. 90 (3): 185–194. doi:10.2307/2975545. JSTOR 2975545.

sciencedirect.com

Vrahatis, Michael N. (2016-04-01). "Generalization of the Bolzano theorem for simplices". Topology and Its Applications. 202: 40–46. doi:10.1016/j.topol.2015.12.066. ISSN 0166-8641.
Vrahatis, Michael N. (2020-04-15). "Intermediate value theorem for simplices for simplicial approximation of fixed points and zeros". Topology and Its Applications. 275: 107036. doi:10.1016/j.topol.2019.107036. ISSN 0166-8641.

semanticscholar.org

api.semanticscholar.org

Cates, Dennis M. (2019). Cauchy's Calcul Infinitésimal. p. 249. doi:10.1007/978-3-030-11036-9. ISBN 978-3-030-11035-2. S2CID 132587955.

st-andrews.ac.uk

mathshistory.st-andrews.ac.uk

O'Connor, John J.; Robertson, Edmund F., "Intermediate value theorem", MacTutor History of Mathematics Archive, University of St Andrews

web.archive.org

Keith Devlin (2007) How to stabilize a wobbly table

wolfram.com

mathworld.wolfram.com

Weisstein, Eric W. "Bolzano's Theorem". MathWorld.

worldcat.org

search.worldcat.org

Vrahatis, Michael N. (2016-04-01). "Generalization of the Bolzano theorem for simplices". Topology and Its Applications. 202: 40–46. doi:10.1016/j.topol.2015.12.066. ISSN 0166-8641.
Vrahatis, Michael N. (2020-04-15). "Intermediate value theorem for simplices for simplicial approximation of fixed points and zeros". Topology and Its Applications. 275: 107036. doi:10.1016/j.topol.2019.107036. ISSN 0166-8641.