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Research Articles

Bernoullian influences on Leonhard Euler’s early fluid mechanics

References

  • Bernoulli, Daniel, ‘Theoria nova de motu aquarum per canales quoscunque fluentium’, Commentarii Academiae Scientiarum Imperialis, 2 (1727) 1729, 111–125.
  • Bernoulli, Daniel, Hydrodynamica, Basel: Dulsecker, 1738. (English Translation by T. Carmody and H. Kobus, Dover, 1968. See Rouse 1968, below.)
  • Bernoulli, Johann, Hydraulica, Johannis Bernoulli opera omnia, Geneva: Bousquet, 1743. (English Translation by T. Carmody and H. Kobus, Dover, 1968. See Rouse 1968, below.)
  • Bistafa, Sylvio, ‘First theoretical constructions to the fluid mechanics problem of the discharge’, Advances in Historical Studies 4 (2015), 172–199.
  • Calero, Juliàn, The genesis of fluid mechanics 1640–1780, Dordrecht, Netherlands: Springer, 2008. English translation of La génesis de la méchanica de los fluidos 1640–1780, Rotterdam: Springer Netherlands, 1996. Original Spanish edition published by Universidad Nacional de Educación a Distancia, UNED.
  • Calinger, Ronald, ‘Leonhard Euler: life and thought’, in Robert E. Bradley and C. Edward Sandifer (eds), Leonhard Euler: life, work, and legacy, Amsterdam: Elsevier, 2007, 5–60.
  • Calinger, Ronald, Leonhard Euler: mathematical genius in the Enlightenment, Princeton, NJ: Princeton University Press, 2016.
  • D’Alembert, Jean le Rond, Essai d’une nouvelle théorie de la résistance des fluides, Paris: David l’aîné, 1752.
  • Darrigol, Olivier, Worlds of flow: a history of hydrodynamics from the Bernoullis to Prandtl, New York: Oxford University Press, 2005.
  • Eneström, Gustaf, ‘Die Schriften Eulers chronologische nach den Jahren geordnet, in denen sie verfasst worden sind’, Jahresbericht der Deutschen Mathematiker-Vereinigung (1910–1913). English translation by Greta Perl available online at http://eulerarchive.maa.org/index/enestrom.html.
  • Euler, Leonhard, Neue Grundsätze der Artillerie, Berlin: Ambrosius Haude, 1745. Numbered E77 in Eneström’s index.
  • Euler, Leonhard, ‘Sur le mouvement de l'eau par des tuyaux de conduite’, Mémoires de L'académie des Sciences de Berlin 8 (1752) 1754, 111–148. Numbered E206 in Eneström’s index.
  • Euler, Leonhard, ‘Principia motus fluidorum’, Novi Commentarii Academiae Scientiarum Petropolitanae 6 (1756/7) 1761, 271–311. Numbered E258 in Eneström’s index. English translation by Walter Pauls available online at http://arxiv.org/abs/0804.4802.
  • Euler, Leonhard, ‘Recherches sur le mouvement des rivières’, Mémoires de L’academie des Sciences de Berlin 16 (1760) 1767, 101–118. Numbered E332 in Eneström’s index. English translation by Emma Sorrell and Erik R. Tou available online at http://eulerarchive.maa.org/.
  • Euler, Leonhard, ‘Der Briefwechsel zwischen Leonhard Euler und Johann I Bernoulli. III. 1739–1746’, Bibliotheca Mathematica 63 (1905), 16–38.
  • Euler, Leonhard, ‘Letter to Johann Bernoulli, 16 May 1739’, in Euleri opera omnia, series 4A, vol 2, Basel: Birkhäuser, 1998, 287–305.
  • Grimberg, Gérard, D'alembert et les équations aux derivées partielles en hydrodynamique, Lille: A.N.R.T, Université de Lille III, 1998.
  • Hankins, Thomas, Jean d’Alembert: science and the Enlightenment, New York: Gordon and Breach, 1970.
  • Ince, Simon, and Rouse, Hunter. History of hydraulics, Iowa City: Iowa Institute of Hydraulic Research, 1957.
  • Levi, Enzo, The science of water: the foundation of modern hydraulics, Reston, VA: American Society of Civil Engineers, 1995.
  • Mikhailov, Gleb K., ‘Introduction to Daniel Bernoulli’s Hydrodynamica’, Die Werke von Daniel Bernoulli, vol 5, Basel: Birkhäuser, 2002, 17–84.
  • Rouse, Hunter, ‘Preface to the English translations’, in T. Carmody and H. Kobus (tr), Hydrodynamics by Daniel Bernoulli and Hydraulics by Johann Bernoulli, New York: Dover Publications, Inc., 1968, vii–xv.
  • Truesdell, Clifford. ‘Rational Fluid Mechanics, 1657–1765’, in Euleri opera omnia, series 2, vol 12, Lausanne: Orell Füssli Turici, 1964, IX–CXXV.

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