The Net Advance of Physics RETRO:
DIFFERENTIAL EQUATIONS

Differential Equations in the Long Nineteenth Century.

Most material in Net Advance Retro antedates 1920. It may be obsolete or incorrect.

• General:
  • Mécanique analytique, Volume I (1788) by Joseph-Louis Lagrange [Paris: Courcier, 1811]
  • A Treatise on Differential Equations, and on the Calculus of Finite Differences by J. Hymers [London: Longman, Brown, Green, Longmans, and Roberts, 1858]
  • A Treatise on Differential Equations by George Boole [London: Macmillan, 1877] There is also a supplementary volume [1865, so perhaps incorporated into the later edition.]
  • Examples of Differential Equations, with Rules for their Solution by Geo. A. Osborne [Boston: Ginn, 1899]
  • An Elementary Treatise on Differential Equations by Abraham Cohen [Boston: Heath, 1906]
  • Differential Equations by Wm. Woolsey Johnson [New York: Wiley, 1906].
  • A Short Course on Differential Equations by Donald Francis Campbell [New York: Macmillan, 1907]
  • An Elementary Treatise on Differential Equations and their Applications by H. T. H. Piaggio [London: Bell, 1920]

• Type: PARTIAL:
  • Recherches sur le calcul intégral aux différences partielles by Pierre Simon Laplace [Mémoires de l'Académie Royale des Sciences de Paris, (1773)]
  • Mémoire sur l'usage du calcul aux différences partielles dans la théorie des suites by Pierre Simon Laplace [Mémoires de l'Académie Royale des Sciences de Paris, (1777)]
  • Zur Theorie der partiellen Differential-gleichungen by Sophie von Kowalevsky [Berlin: Reimer, 1874]

• Aspects: APPROXIMATION METHODS:
  • Recherches sur le calcul intégral et sur le système du monde by Pierre Simon Laplace [Mémoires de l'Académie Royale des Sciences de Paris,, (1772)] "I propose to give in this memoir a new method of integrating differential equations by approximation, with its application ... to the movement of the planets."
  • Mémoire sur l'intégration des équations différentielles par approximation by Pierre Simon Laplace [Mémoires de l'Académie Royale des Sciences de Paris, (1777)]

• Aspects: PARTICULAR SOLUTIONS:
  • Mémoire sur les solutions particulières des équations différentielles, et sur les inégalités séculaires des planètes by Pierre Simon Laplace [Mémoires de l'Académie Royale des Sciences de Paris,, (1772)]

THE NET ADVANCE OF PHYSICS --- Retro