Cambridge University and the Adoption of Analytics in Early Nineteenth-Century England

  • Philip C. Enros


The first decades of the nineteenth century witnessed a great change in English mathematics. It was a time of revival marked by much distress over the state of mathematics in England and also by many efforts to rally from the English slump in mathematics of the eighteenth century. The period served as a threshold from the relative barrenness of the eighteenth century to the rich creations of such eminent English mathematicians as George Peacock (1791–1858), Augustus DeMorgan (1806–1871), and George Boole (1815–1864). Englishmen were once again to contribute to the mainstream of the development of mathematics.


Nineteenth Century Eighteenth Century Liberal Education Early Nineteenth Century English Mathematics 


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. Academicus (1801) “A letter on the ‘Course of Studies at Cambridge and Senate-House Exam’” Monthly Magazine 11, 115–118, 292–294.Google Scholar
  2. Airy, Wilfrid (ed.) (1896) Autobiography of Sir George Biddell Airy. Cambridge (University Press).Google Scholar
  3. Anon (1826) “The Cambridge University” London Magazine 4, 289–314.Google Scholar
  4. Ball, Walter W.R. (1889) A History of the Study of Mathematics at Cambridge. Cambridge (University Press).MATHGoogle Scholar
  5. Barlow, Peter (1814) A New Mathematical and Philosophical Dictionary. London (G. & S. Robinson).Google Scholar
  6. Becher, Harvey (1971) “William Whewell and Cambridge Mathematics” Ph. D. dissertation, University of Missouri, Columbia.Google Scholar
  7. Browne, Arthur (1824) A Short View of the First Principles of the Differential Calculus. Cambridge (J. Deighton & Sons).Google Scholar
  8. Cajori, Florian (1919) A History of the conceptions or Limits ana Fluxions in Great Britain from Newton to Woodhouse. Chicago (Open Court) .CrossRefGoogle Scholar
  9. Dubbey, John M. (1978) The Mathematical Work of Charles Babbage. Cambridge (University Press).MATHCrossRefGoogle Scholar
  10. Great Britain (1852) Cambridge University Commission. Report of Her Majesty’s Commissioners &c. Parliamentary Papers, Command No. 1559.Google Scholar
  11. Herschel, John (1816) “Review of Dealtry’s The Principles of Fluxions” 19pp. unpublished: Herschel Collection, Humanities Research Center, University of Texas. (1832) “Mrs. Somerville’s Mechanism of the Heavens” Quarterly Review47, 537–559.Google Scholar
  12. Hutton, Charles (1795–1796) A Matnematical and philosophical Dictionary. London (J. Davis) .Google Scholar
  13. Koppelman, Elaine (1971) “The Calculus of Operations and the Rise of Abstract Algebra” Archive for History of Exact Sciences8, 155–242.Google Scholar
  14. McPherson, R.G. (1959) Theory of Higher Education in Nineteenth-Century England. No. 4, University of Georgia Monographs.Google Scholar
  15. Peacock, George (1816, Dec.3) “Letter to Herschel” in Collection of Herschel Manuscripts in the Royal Society, London. (1817, Mar.4) “Letter to Herschel” same location as 1816. (1818, Mar.7) “Letter to Herschel” same location as 1816. (1819, Jan.13) “Letter to Herschel” same location as 1816.Google Scholar
  16. Playfair, John (1808) “Review of Laplace’s Traité de Méchanique Céleste” Edinburgh Review 11, 249–284. (1810) “Review of Laplace’s The System of the World as translated by John Pond” Edinburgh Review 15, 396–417Google Scholar
  17. Playfair, John or Brougham, Henry P. (1816) “Review of Dealtry’s FluxionsEdinburgh Review 27, 87–98.Google Scholar
  18. Roach, John P.C. (1959) “The Age of Reforms, 1800–82 A History of the County of Cambridge and the Isle of Ely, 235–265. Volume 3 of The Victoria History of the Counties of England. Oxford (University Press).Google Scholar
  19. Rothblatt, Sheldon (1974) “The Student Sub-culture and the Examination System in Early 19th Century Oxbridge” in L. Stone The University in Society 1, 247–303. Princeton (University Press). (1976) Tradition and Change in English Liberal Education. London (Faber & Faber) .Google Scholar
  20. Schneider, Ben R. (1957) Wordsworth’s Cambridge Education. Cambridge (University Press).Google Scholar
  21. Tanner, Joseph R. (ed.) (1917) The Historical Register of the University of Cambridge. Cambridge (University Press).Google Scholar
  22. Thomson, T. (1815) “Review of Wainewright’s Literary and Scientific Pursuits &c.” Annals of Philosophy, 294–304.Google Scholar
  23. Todhunter, Isaac (1876) William Whewell, D.D. 2 vols. London (Macmillan).Google Scholar
  24. Toplis, John (1805) “On the Decline of Mathematical Studies, and the Sciences dependent upon them” Philosophical Magazine 20, 25–31.Google Scholar
  25. Winstanley, Denys A. (1940) Early Victorian Cambridge. Cambridge (University Press) .Google Scholar
  26. Wright, John M.F. (1827) Alma Mater &c. London (Black).Google Scholar

Copyright information

© Springer Science+Business Media New York 1981

Authors and Affiliations

  • Philip C. Enros

There are no affiliations available

Personalised recommendations