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Articles

Unified Proofs of Three Fundamental Properties of Continuous Functions

Pages 502-508 | Received 21 Jul 2020, Accepted 13 Mar 2021, Published online: 19 Oct 2022

References

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  • Daners, D. (2015). Uniform continuity of continuous functions on compact metric spaces. Amer. Math. Monthly 122(6): 592. doi.org/ DOI: 10.4169/amer.math.monthly.122.6.592.
  • Ellis, R., Gulick, D. (1994). Calculus with Analytic Geometry, 5th ed. Fort Worth: Saunders College Publishing.
  • Heine, E. (1872). Die Elemente der Functionenlehre. J. Reine Angew.Math. 74: 172–188 (German). doi.org/ DOI: 10.1515/crll.1872.74.172.
  • Lejeune-Dirichlet, P. G. (1904). Vorlesungen über die Lehre von den einfachen und mehrfachen bestimmten Integralen. Braunschweig:F. Vieweg & Sohn (German). Edited by Gustav Arendt. https://openlibrary.org/books/OL22881156M
  • Spivak, M. (2006). Calculus, 3rd ed. Cambridge: Cambridge University Press.

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