Thomas W. Hawkins Jr.


Thomas W. Hawkins Jr. (born 10 January 1938 in Flushing, New York) is an American historian of mathematics.

Tom Hawkins
Thomas William Hawkins Jr.

(1938-01-10) January 10, 1938 (age 84)
Alma materUniversity of Wisconsin-Madison
AwardsChauvenet Prize (1997) [1]
Albert Leon Whiteman Memorial Prize (2001) [2]
Scientific career
FieldsHistory of mathematics
InstitutionsBoston University
Doctoral advisorRobert Creighton Buck[3]

Hawkins defended his Ph.D. thesis on "The Origins and Early Development of Lebesgue's Theory of Integration" at the University of Wisconsin-Madison in 1968 under Robert Creighton Buck. Since 1972 he has been based at Boston University. Hawkins was an invited speaker at the International Congress of Mathematicians in 1974 at Vancouver[4] and in 1986 at Berkeley.[citation needed]

In 1997 Hawkins was awarded the Chauvenet Prize for his article "The birth of Lie's theory of groups",[5] published in the Mathematical Intelligencer in 1994.[1] In fall 2012 Hawkins was elected a Fellow of the American Mathematical Society.[citation needed]

Selected publicationsEdit


  • The Theory of Matrices in the 19th Century. In: Ralph D. James (ed.): Proceedings of the International Congress of Mathematicians, Vancouver, 1974. CMC, Vancouver 1975, vol. 2, ISBN 0-919558-04-6, pp. 561–570.
  • Hypercomplex numbers, Lie groups and the creation of group representation theory. In: Archive for History of Exact Sciences, vol. 8 (1971/72), ISSN 0003-9519, pp. 243–287. doi:10.1007/BF00328434
  • The origins of the theory of group characters. In: Archive for History of Exact Sciences, vol. 7 (1970), ISSN 0003-9519, pp. 142–170. JSTOR 41133320
  • New light on Frobenius creation of the theory of group characters. In: Archive for History of Exact Sciences, vol. 12 (1974), ISSN 0003-9519, pp. 217–243. doi:10.1007/BF00357245
  • Wilhelm Killing and the structure of Lie algebras. In: Archive for History of Exact Sciences, vol. 26 (1982), ISSN 0003-9519, pp. 126–192. doi:10.1007/BF00348350
  • Non-euclidean geometry and Weierstrassian mathematics. The background to Killing's work on Lie algebras. In: Historia Mathematica, vol. 7 (1980), ISSN 0315-0860, pp. 289–342. doi:10.1016/0315-0860(80)90027-0


  • Emergence of the theory of Lie groups. An Essay in the history of Mathematics 1869-1926 (Sources and studies in the history of mathematics and physical series). Springer Verlag, New York 2000, ISBN 0-387-98963-3.[6]
  • Lebesgue's Theory of Integration. Its Origin and Development. 2nd edition. AMS Chelsea Books, New York 1979, ISBN 0-8284-0282-5; reprint with corrections of original edition published by University of Wisconsin Press 1970;[7] reprint of 2nd edition. AMS Chelsea Books. 2001. ISBN 9780821829639.
  • The mathematics of Frobenius in context. A journey through 18th to 20th century mathematics. Springer, New York 2013, ISBN 978-1-4614-6332-0.[8]


  1. ^ a b List of Chauvenet Prize recipients, Mathematical Association of America.
  2. ^ 2001 Whiteman Prize (PDF).
  3. ^ Tom Hawkins on the Mathematics Genealogy Project.
  4. ^ Hawkins, Thomas. "The theory of matrices in the 19th century" (PDF). In: Proceedings of the International Congress of Mathematicians, Vancouver, 1974. Vol. 2. pp. 561–570. S2CID 34428017.
  5. ^ Hawkins, Thomas W. (1994). "The birth of Lie's theory of groups". Mathematical Intelligencer. 16 (2): 6–17. doi:10.1007/BF03024278. S2CID 123313709.
  6. ^ Rowe, David E. (2003). "Book Review: Emergence of the Theory of Lie Groups" (PDF). Notices of the American Mathematical Society. 50 (6): 668–677.
  7. ^ Waterhouse, William C. (1972). "Review of Lebesgue's Theory of Integration by Thomas Hawkins; A History of Vector Analysis by Michael J. Crowe; The Development of the Foundations of Mathematical Analysis from Euler to Riemann by I. Grattan-Guinness; Die Genesis des abstrakten Gruppenbegriffes by Hans Wussing". Bull. Amer. Math. Soc. (N.S.). 78 (3): 385–391. doi:10.1090/S0002-9904-1972-12909-4.
  8. ^ Roberts, David P. (12 October 2014). "Review of The mathematics of Frobenius in context". MAA Reviews, Mathematical Association of America.