The Net Advance of Physics RETRO:
Calculus

Calculus in the Long Nineteenth Century.

See also ANALYSIS

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

• General:
  • A Treatise on the Differential and Integral Calculus by Rev. T. G. Hall [Cambridge: University Press, 1837]
  • Elements of the Differential and Integral Calculus by Charles Davies [Hartford: Barnes, 1839]
  • The Elements of the Differential Calculus by J. R. Young [Philadelphia: Hogan and Thompson, 1839]
  • An Elementary Treatise on the Differential Calculus by Rev. M. O'Brien [Cambridge University Press, 1842] "In which the method of limits is exclusively made use of."
  • Examples on the Integral Calculus by James Hann [London: John Weale, 1850]
  • Geometrical Illustrations of the Differential Calculus by J. McMahon and V. Snyder [Cambridge: Deighton, 1850]
  • Examples and Solutions in the Differential Calculus by J. Haddon [London: Weale, 1851]
  • An Elementary Treatise on the Differential and Integral Calculus by G. W. Hemming [Cambridge: MacMillan, 1852]
  • A Rudimentary Treatise on the Integral Calculus by Homersham Cox [London: John Weale, 1852]
  • A Treatise on the Differential and Integral Calculus by Theodore Strong [New York: Alvord, 1869]
  • Elements of the Differential and Integral Calculus by Elias Loomis [New York: Harper, 1874]
  • Elements of the Differential Calculus by W. S. B. Woolhouse [London: Lockwood, 1874]
  • Examples in the Integral Calculus compiled for the use of the cadets at the United States Naval Academy. [Washington, D.C.: Government Printing Office, 1874]
  • Elements of the Differential and Integral Calculus without the Use of Infinitesimals or Limits by Catherinus Putnam Buckingham [Chicago: Griggs, 1875]
  • Éléments de calcul infinitésimal by M. Duhamel Volume I --- Volume II [Paris: Mallet-Bachelier, 1874 and Gauthier-Villars, 1876]
  • An Elementary Treatise on the Differential Calculus by J. M. Rice and W. W. Johnson [New York: Wiley, 1879]
  • Differential Calculus for Beginners, with a Selection of Easy Examples by Alexander Knox [London: Macmillan, 1884]
  • Elements of the Differential and Integral Calculus by Simon Newcomb [New York: Holt, 1887]
  • Elements of the Differential and Integral Calculus (Method of Rates) by Arthur Sherburne Hardy [Boston: Ginn, 1890]
  • A Treatise on the Differential Calculus, with Numerous Examples by Isaac Todhunter [London: Macmillan, 1890]
  • An Elementary Treatise on the Differential Calculus, Containing the Theory of Plane Curves by Benjamin Williamson [London: Longmans & Green, 1893]
  • A Primer of the Calculus by E. Sherman Gould [New York: Van Nostrand, 1896]
  • Elements of the Differential Calculus with Examples and Applications by W. E. Byerly [Boston: Ginn, 1898]
    • Problems & Solutions
  • Elements of the Differential Calculus by J. McMahon and V. Snyder [New York: American Book Co., 1898]
  • Elementary Illustrations of the Differential and Integral Calculus by Augustus De Morgan [Chicago: Open Court, 1899]
  • Grundriss der Differential- und Integral-Rechnung by Ludwig Kiepert Volume I --- Volume II [Hanover: Helwing, 1900-1901]
  • Differential and Integral Calculus by Virgil Snyder and John Irwin Hutchinson [New York: American Book Co., 1902]
  • An Elementary Text-Book on the Differential and Integral Calculus by Wm. H. Echols [New York: Holt, 1902]
  • Elements of the Differential and Integral Calculus with Examples and Applications by James M. Taylor [Boston: Ginn, 1902]
  • Elements of Differential Calculus by E. W. Bass [London: Wiley, 1905]
  • Differential and Integral Calculus by George A. Osborne [Boston: Heath, 1906]
  • Elements of the Differential and Integral Calculus by A. E. H. Love [Cambridge, 1909]
  • A Text-Book of Differential Calculus by Ganesh Prasad [London: Longmans & Green, 1909]
  • Elements of the Differential and Integral Calculus by Wm. Anthony Granville and Percey F. Smith [Ginn: Boston, 1911]
  • Differential Calculus for Beginners by Alfred Lodge [London: Bell, 1913]
  • Differential Calculus by H. B. Phillips [London: Wiley, 1916]
  • Differential and Integral Calculus by Edward West Nichols [Boston: Heath, 1918]
  • Examples in Differential and Integral Calculus, with Answers by C. S. Jackson [London: Longmans, Green, 1921]

• General: Philosophical Foundations:
  • Hegel and the Metaphysics of the Fluxional Calculus by Wm. Robertson Smith [Transactions of the Royal Society of Edinburgh 25, , II 491 (1869)] "He who would exchange Newton's clear ideas for the vague pomposities of a Hegel exchanges gold for brass."

• Types: FINITE DIFFERENCE; VECTOR;

• Type: OPERATIONAL:
  • A Treatise on the Calculus of Operations, Designed to Facilitate the Processes of the Differential and Integral Calculus and the Calculus of Finite Differences by Rev. Robert Carmichael [London: Brown, Green, & Longmans, 1855]

• Aspects: NOTATION:
  • An Essay on Algebraic Development ... a New and Comprehensive Notation by Rev. Thos. Jarrett [Cambridge: Deightons, 1831]

• Aspects: SERIES EXPANSIONS:
  • Mémoire sur les suites récurro-récurrentes, et sur leurs usages dans la théorie des hasards by Pierre Simon Laplace [Mémoires de l'Académie Royale des Sciences de Paris, (Savants étrangers) 6, 353 (1774)] By "recurro-recurrent series" he means a series, each term of which is itself a series.
  • 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)]
  • On the developement of exponential functions; together with several new theorems relating to finite differences by J. F. W. Herschel [Phil. Trans. R. S. L. 106, 25 (1816)]
  • An Essay on Algebraic Development ... a New and Comprehensive Notation by Rev. Thos. Jarrett [Cambridge: Deightons, 1831]

• Re: FINITE DIFFERENCES:
  • An Introduction to the Differential Calculus by Means of Finite Differences by Roberdeau Buchanan [Popular Astronomy 13, Nos. 5 and 6, (1905)]

THE NET ADVANCE OF PHYSICS --- Retro