References for William Rowan Hamilton

Version for printing
  1. T L Hankins, Biography in Dictionary of Scientific Biography (New York 1970-1990).
    http://www.encyclopedia.com/topic/William_Rowan_Hamilton.aspx
  2. Biography in Encyclopaedia Britannica.
    http://www.britannica.com/eb/article-9039041/Sir-William-Hamilton-9th-Baronet

Books:

  1. R P Graves, Life of Sir William Rowan Hamilton (1975) (3 volumes).
  2. T L Hankins, Sir William Rowan Hamilton (Baltimore, 1980).
  3. S O'Donnell, William Rowan Hamilton. Portrait of a Prodigy (Dublin, 1983).
  4. J J O'Connor and E F Robertson, William Rowan Hamilton, 1805-1865, Physicists of Ireland: Passion and Precision, (Institute of Physics, 2002), 61-68.

Articles:

  1. P V Arunachalam, W R Hamilton and his quaternions, Math. Ed. 6 (4) (1990), 261-266.
  2. H Bateman, Hamilton's work in dynamics and its influence on modern thought, Scripta Math. 10 (1944), 51-63.
  3. A Conway, W Hamilton, his life, work, and influence, in Proc. Second Canadian Math. Congress, Vancouver, 1949 (Toronto, 1951), 32-41.
  4. R Dimitric and B Goldsmith, Sir William Rowan Hamilton, The Mathematical Intelligencer 11 (2) (1989), 29-30.
  5. J Hendry, The evolution of William Rowan Hamilton's view of algebra as the science of pure time, Stud. Hist. Philos. Sci. 15 (1) (1984), 63-81.
  6. T Koetsier, Explanation in the historiography of mathematics: the case of Hamilton's quaternions, Stud. Hist. Philos. Sci. 26 (4) (1995), 593-616.
  7. N G Krotkova, The generalized complex numbers of W R Hamilton and De Morgan (Russian), in History and methodology of the natural sciences (Moscow, 1973), 127-130.
  8. L M Laita, Influences on Boole's logic : the controversy between William Hamilton and Augustus De Morgan, Ann. of Sci. 36 (1) (1979), 45-65.
  9. J Lambek If Hamilton had prevailed : quaternions in physics, Math. Intelligencer 17 (4) (1995), 7-15.
  10. C C MacDuffee, Algebra's debt to Hamilton. Scripta Math. 10 (1944), 25-35.
  11. A Macfarlane, Lectures on Ten British Mathematicians of the Nineteenth Century (New York, 1916), 34-49.
    http://www.gutenberg.net/etext06/tbmms10p.pdf
  12. J Mathews, William Rowan Hamilton's paper of 1837 on the arithmetization of analysis, Arch. History Exact Sci. 19 (2) (1978/79), 177-200.
  13. A J McConnell, Hamilton's work in applied mathematics, Bull. Inst. Math. Appl. 13 (9-10) (1977), 228-233.
  14. N D McMillan, History of mathematics : J MacCullagh and W R Hamilton - the triumph of Irish mathematics 1827-1865, Irish Math. Soc. Newslett. 14 (1985), 50-61.
  15. M Nakane, The role of the three-body problem in W R Hamilton's construction of the characteristic function for mechanics, Historia Sci. (2) 1 (1) (1991), 27-38.
  16. J G O'Hara, The prediction and discovery of conical refraction by William Rowan Hamilton and Humphrey Lloyd (1832-1833), Proc. Roy. Irish Acad. Sect. A 82 (2) (1982), 231-257.
  17. J O'Neill, Formalism, Hamilton and complex numbers, Stud. Hist. Philos. Sci. 17 (3) (1986), 351-372.
  18. T Ogawa, His final step to Hamilton's discovery of the characteristic function, J. College Arts Sci. Chiba Univ. B 23 (1990), 45-62.
  19. P Ohrstrom, W R Hamilton's view of algebra as the science of pure time and his revision of this view, Historia Math. 12 (1) (1985), 45-55.
  20. H T H Piaggio, The significance and development of Hamilton's quaternions, Nature 152 (1943), 553-555.
  21. L S Polak, William Rowan Hamilton (on the 150th anniversary of his birth) (Russian), Trudy Inst. Istor. Estest. Tehn. 15 (1956), 206-276.
  22. Several articles, in Proc. Royal Irish Acad. 50A (1945), 69-121.
  23. J L Synge, The life and early work of Sir William Rowan Hamilton, Scripta Math. 10 (1944), 13-24.
  24. B L van der Waerden, Hamilton's discovery of quaternions, Math. Mag. 49 (5) (1976), 227-234.
  25. E Whittaker, William Rowan Hamilton, in Morris Kline (ed.), Mathematics in the modern world (1968), 49-52.
  26. A T Winterbourne, Algebra and pure time : Hamilton's affinity with Kant, Historia Math. 9 (2) (1982), 195-200.

JOC/EFR June 1998

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