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BSHM Bulletin: Journal of the British Society for the History of Mathematics Volume 30, 2015 - Issue 2
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Original Articles

Vito Volterra's construction of a nonconstant function with a bounded, non-Riemann integrable derivative

Juan Carlos Ponce-CampuzanoThe University of Queensland, Australia
&
Miguel Ángel Maldonado-AguilarUniversity of Zacatecas, Mexico
Pages 143-152 | Published online: 01 Apr 2015

Bibliography

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  • Cauchy, A L, Oeuvres complètes, série 2, tome 4, 9-261. 1899. France: Gallica, http://math-doc.ujf-grenoble.fr/cgi-bin/oeitem?id=OE_CAUCHY_2_4_9_0 (Accessed on 31 July 2014).
  • Edwards, C H, The historical development of the calculus, New York: Springer-Verlag, 1979.
  • Euler, L, Opera omnia, Serie I, vol 1-29, Basel: Birkhauser, 1992.
  • Riemann, B, Gesammelte Mathematische Werke und Wissenschaftlicher Nachlass [Collected works], Leipzig: B. G. Teubner, 2nd edition and Nachtrëge, 1902, 228.
  • Truesdell, C, ‘Maria Gaetana Agnesi’, Archive for History of Exact Sciences, 40(2) (1989), 113–142.
  • Volterra, Enrico, ‘Vito Volterra’, Charles C Gillispie (ed), Complete dictionary of scientific biography (vol 14), New York: Charles Scribner's Sons, 2008, 85–88.
  • Volterra, Vito, ‘Alcune Osservazioni Sulle Funzioni Punteggiate Discontinue’ [Some observations on the pointwise discontinuous functions], Giornale di Mathematiche, XIX (1881a), 76–87.
  • Volterra, Vito, ‘Sui Principii del Calcolo Integrale’ [On the principles of the Integral Calculus], Giornale di Mathematiche, XIX (1881b), 333–372.
  • Viro, O Y, Ivanov, O A, Netsvetaev, N Y, and Kharlamov, V M, Elementary topology. Problem textbook, Providence, RI: American Mathematical Society, 2008.

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