Publications

Books

The Emergence of the American Mathematical Research Community
(1876–1900): J. J. Sylvester, Felix Klein, and E. H. Moore (with David
E. Rowe), AMS/LMS Series in the History of Mathematics, vol. 8 (Providence:
American Mathematical Society and London: London Mathematical Society, 1994;
paperback edition, 1997).
James Joseph Sylvester: Life and Work in Letters (Oxford: Oxford
University Press, 1998; paperback edition, 2013).
James Joseph Sylvester: Jewish Mathematician in a Victorian World (Baltimore: Johns Hopkins University Press, 2006).
Taming the Unknown: A History of Algebra from Antiquity to the Early Twentieth Century (with Victor J.Katz) (Princeton: Princeton University Press, 2014).

Editions

Experiencing Nature: Proceedings of a Conference in Honor of
Allen G. Debus (ed. with Paul Theerman), (Boston/Dordrecht: Kluwer
Academic Publishers, 1997).
Mathematics Unbound: The Evolution of an International Mathematical Research Community, 1800–1945 (ed. with Adrian C. Rice), HMATH, vol. 23 (Providence:
American Mathematical Society, and London: London Mathematical Society, 2002).
Episodes in the History of Modern Algebra (1800–1950) (ed. with Jeremy J. Gray), HMATH, vol. 32 (Providence: American Mathematical Society, and London:
London Mathematical Society, 2007).
Bridging Traditions: Alchemy, Chymistry, and Paracelsian Traditions in Early Modern Europe: Essays in Honor of Allen G. Debus (ed. with Michael Walton and Bruce
Moran), Early Modern Studies Series (Kirksville: Truman State University Press, 2015).

Monographs

"Joseph H. M. Wedderburn and the Structure Theory of Algebras,"
Archive for History of Exact Sciences 32 (1985), 223349.

Articles

"Varieties As Incipient Species: Darwin's Numerical Analysis,"
Journal of the History of Biology 15 (Summer 1982), 191214.
"In Search of the Finite Division Algebra Theorem and Beyond: Joseph H. M.
Wedderburn, Leonard E. Dickson, and Oswald Veblen," Archives internationales
d'Histoires des Sciences 35 (December 1983), 274299.
"E.H. Moore and the Founding of a Mathematical Community in America: 1892–1902,"
Annals of Science 41 (1984), 313333; reprinted in A Century of
Mathematics in America–Part II, ed. Peter Duren et al. (Providence:
American Mathematical Society, 1988), pp. 155175.
"Le Développement de la Théorie des Algèbres au XIX^{ème} Siècle,"
Sciences et Techniques en Perspective 10 (19851986), 129144.
"The Art of Algebra From AlKhwarizmi to Viète: A Study in the Natural Selection of
Ideas," History of Science 26 (1988), 129164.
"America's First School of Mathematical Research: James Joseph Sylvester at
the Johns Hopkins University 1876–1883," Archive for History of Exact Sciences 38
(1988), 153196.
"Toward a History of NineteenthCentury Invariant Theory," in
The History of Modern Mathematics, ed. David E. Rowe and John McCleary, 2 vols.
(Boston: Academic Press, 1989), 1: 157206.
"American Mathematics Comes of Age: 1875–1900" (with David E. Rowe), in A
Century of Mathematics in America–Part III, ed. Peter Duren et al.
(Providence: American Mathematical Society, 1989), pp. 124.
"A CenturyOld Snapshot of American Mathematics," The Mathematical Intelligencer
12 (3) (1990), 711.

"The OneHundredth Anniversary of the Death of Invariant Theory?," The
Mathematical Intelligencer 12 (4) (1990), 1016.
"A Study in Group Theory: Leonard Eugene Dickson's Linear Groups," The
Mathematical Intelligencer 13 (1) (1991), 711.
"New Light on the Life and Work of Joseph Henry Maclagan Wedderburn
(1882–1948)," in Amphora: Festschrift für Hans Wussing zu seinem 65. Geburtstag, ed. Menso Folkerts, et al.
(Basel/Boston/Berlin: Birkhäuser Verlag, 1992), pp. 523537.
"The OneHundredth Anniversary of Mathematics at the University of Chicago," The Mathematical Intelligencer 14 (2) (1992): 3944.
"Embedded in the Culture: Mathematics at the World's Columbian Exposition" (with David E. Rowe), The Mathematical Intelligencer 15 (2) (1993), 4045.
"A Profile of the American Mathematical Research Community: 1891–1906" (with Della Dumbaugh Fenster), in The History of Modern Mathematics, ed. Eberhard Knobloch and David E. Rowe, vol. 3 (Boston: Academic Press, 1994), pp. 179227.
"Women in the American Mathematical Research Community: 1891–1906" (with Della Dumbaugh Fenster), in The History of Modern Mathematics, ed. Eberhard Knobloch and David E. Rowe, vol. 3 (Boston: Academic Press, 1994), pp. 229261.
"Mathematics in National Contexts (1875–1900): An International Overview," in Proceedings of the International Congress of Mathematicians: Zürich, 2 vols. (Basel/ Boston/ Berlin: Birkhäuser Verlag, 1995), 2: 15811591.
"Come to the Fair: The Chicago Mathematical Congress of 1893" (with David E. Rowe), in Meetings of Mathematicians, ed. Bettye Anne Case et al. (Providence: American Mathematical Society, 1996), pp. 6169 (this is a much abbreviated version of chatper 7 in our 1994 coauthored book).
"How We Got Where We Are: An International Overview of Mathematics in National Contexts 1875–1900," Notices of the American Mathematical Society 43 (March 1996), 287296 (this is a somewhat different version of "Mathematics in National Contexts").
"Building an International Reputation: The Case of J. J. Sylvester
(1814–1897)" (with Eugene Seneta), American Mathematical Monthly 104 (March 1997), 210222.
"Chemistry Through Invariant Theory? James Joseph Sylvester's Mathematization of the Atomic Theory," in Experiencing Nature: Proceedings of a Conference in Honor of Allen G. Debus, ed. Paul Theerman and Karen Hunger Parshall (Boston/Dordrecht: Kluwer Academic Publishers, 1997), pp. 81111.
"To Belong: The Role of Community in the Life and Work of J. J. Sylvester," The Mathematical Intelligencer 20 (1998), 3539.
"The Unfinished Scientific Revolution and Stendhal's La Chartreuse de Parme," in The Unfinished Revolution, ed. Robert T. Denommé and Roland Simon (State College: Pennsylvania State University Press, 1998), pp. 103120.
"The Mathematical Legacy of James Joseph Sylvester," Nieuw Archief voor Wiskunde, 4th ser., 17 (1999), 247267.
"Telling the Life of a Mathematician: The Case of J. J. Sylvester," Revue d'histoire des mathématiques 5 (1999), 285302.
"Perspectives on American Mathematics," Bulletin of the American Mathematical Society 37 (2000), 381405.
"NineteenthCentury Developments in Geometric Probability: J. J. Sylvester, M. W. Crofton, J.É. Barbier, and J. Bertrand," (with Eugene Seneta and
François Jongmans) Archive for History of Exact Sciences 55 (2001), 501524.
"Historical Contours of the American Mathematical Research Community," in A Recent History of Mathematics Education in the United States and Canada, ed.
George M. A. Stanic and Jeremy Kilpatrick, 2 vols. (Reston, VA: National Council of Teachers of Mathematics, 2003), 1:113157. This also appears in Anais: IV Seminário nacional de história de mathemática, ed. John Fossa (Rio Claro: Editora SBH Mat, 2001), pp. 4266.
"The Origins of KacMoody Lie Algebras" (with Stephen Berman), The Mathematical Intelligencer 24(1) (2002), 5060.
"The Evolution of an International Mathematical Research Community, 1800–1945: An Overview and an Agenda" (with Adrian C. Rice), in Mathematics Unbound: The Evolution of an International Mathematical Research Community, 18001945,
ed. Karen Hunger Parshall and Adrian C. Rice, AMS/LMS Series in the History of Mathematics, vol. 23 (Providence: American Mathematical Society and London: London Mathematical Society, 2002), pp. 115.
"Entering the International Arena: E. H. Moore, The University of Chicago, and Hilbert's Grundlagen der Geometrie," in Il Sogno di Galois: Scritti di Storia della matematica dedicati a Laura Toti Rigatelli per il suo 60^{o} compleanno, ed. Raffaella Franci et al. (Siena: Centro Studi della Matematica Medioevale, 2003), pp. 199227.
"Defining a Mathematical Research School: The Case of Algebra at the University of Chicago, 1892–1945," Historia Mathematica, 31 (2004), 263278.
"The Emergence of the American Mathematical Research Community," in Mathematics, Content and Context: The Kenneth O. May Lectures in Mathematics, ed. Glen van Brummelen and Michael Kinyon (New York: SpringerVerlag, 2005), pp. 183202.
"The British Development of Invariant Theory, 1841–1895," Newsletter of the British Society for the History of Mathematics 21 (2006), 186199.
"Dal Liberal Arts College alla Research University: Harvard, Yale e Princeton [From the Liberal Arts College to the Research University: Harvard, Yale, and Princeton]" (with Joseph W. Dauben) in Matematica e Cultura, ed. Claudio Bartocci and Piergiorgio Odifreddi, 4 vols. (Turin: Giulio Einaudi Editore S.p.a., 2007), pp. 477504.
"L'evoluzione della ricerca universitaria: Johns Hopkins, Chicago e Berkeley [Mathematics and the Evolution of the Research University: Johns Hopkins, Chicago, and Berkeley]" (with Joseph W. Dauben) in Matematica e Cultura, ed. Claudio Bartocci and Piergiorgio Odifreddi, 4 vols. (Turin: Giulio Einaudi Editore S.p.a., 2007), pp. 505529.
"A Mathematical 'Good Neighbor': Marshall Stone in Latin America (1943)," Revista Brasileira de História da Matemática: Especial No 1—Festschrift Ubiratan D'Ambrosio (Dec. 2007): 1931.
"The Development of Abstract Algebra" in Princeton Companion to Mathematics, ed. Tim Gowers (Princeton: Princeton University Press, 2008), pp. 95106.
"The Internationalization of Mathematics in a World of Nations: 1800–1960," in The Oxford Handbook of the History of Mathematics, ed. Eleanor Robson and
Jackie Stedall (Oxford: Oxford University Press, 2008), pp. 85104.
"Algebra: The Freedom To Create New Mathematical Entities," in Victorian Mathematics, ed. Raymond Flood, Adrian Rice, and Robin Wilson (Oxford: Oxford University
Press, 2011), pp. 339356.
"The Evolution of a Community of Mathematical Researchers in North America: 1636–1950," in Recent Developments on Introducing a Historical Dimension in Mathematics
Education, ed. Victor J. Katz and Constantine Tzanakis (N.p.: Mathematical Association of America, 2011), pp. 241250.
"Mathematics Education in America in the Premodern Period" (with Ubiratan D'Ambrosio and Joseph W.Dauben), in Handbook on the History of Mathematics Education, ed. Alexander Karp and Gert Schubring (New York: Springer Verlag, 2014), pp.175–199.
"Crafting the Chemical Interpretation of Nature: The Work of Allen G. Debus" in Bridging Traditions: Alchemy, Chemistry, and Paracelsian
Practices in the Early Modern Era: Essays in Honor of Allen G. Debus, ed. Karen Hunger Parshall, Michael T. Walton, and Bruce Moran (Kirksville: Truman
State University Press, 2015), pp.116.
"The Stratification of the American Mathematical Community: The Mathematical Association of America and the American Mathematical Society,
19151925" in A Century of Advancing Mathematics, ed. Steve Kennedy, et al. (Washington, DC: Mathematical Association of America, 2015),
pp. 159175.
" `A New Era in the Development of Our Science': The American Mathematical Research Community, 1920–1950," in A Delicate Balance: Global Perspectives
on Innovation and Tradition in the History of Mathematics: A Festschrift in Honor of Joseph W. Dauben, ed. David E.Rowe and WannSheng Horng (Basel: Birkhäuser
Verlag, 2015), pp. 275308.
" `Increasing the Utility of the Society': The Colloquium Lectures of the American Mathematical Society," Philosophia Scientiae 19 (2015),
153169.
"Training Women in Mathematical Research: The First Fifty Years of Bryn Mawr College (1885–1935)," The Mathematical Intelligencer 37 (2015), 7183.
"Ivor GrattanGuinness (1941–2014)" (with Joseph W.~Dauben, Niccolò Guicciardini, Albert C. Lewis, and Adrian C. Rice), Historia
Mathematica 42 (2015), 385406.
"Mathematics and the Politics of Race: The Case of William Claytor (Ph.D., University of Pennsylvania, 1933)," American Mathematical Monthly 123
(2016), 214–240.
"The American Mathematical Monthly (1894–1919): A New Journal in the Service of Mathematics and Its Educators, in Research in History
and Philosophy of Mathematics, ed. Maria Zach and Elaine Landry (Basel: Birkhäuser Verlag, 2016), pp. 193204.
"A Plurality of Algebras, 1200–1600: Algebraic Europe from Fibonacci to Clavius," Bulletin of the British Society of the History of Mathematics 32 (2017), 216.
"Training Research Mathematicians circa 1900: The Cases of the United States, Germany, France, and Great Britain," in Training Research Scholars: Institutions, Disciplines, and National Cultures, ed. Kuming
"Kevin" Chang and Alan Rocke, under consideration by the University of Chicago Press, submitted November 2016, 30 pages in Word.

Entries in Encyclopedias and Other Reference Works

Entry on A. Adrian Albert in Dictionary of Scientific Biography: Supplement II (New York: Charles Scribner's Sons, 1990).
Entry on "The United States, and Canada" (with David E. Rowe), in Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences, ed. Ivor GrattanGuinness (London: Routledge, 1994), pp. 15121525.
Entries on A. Adrian Albert, Oskar Bolza, Arthur Coble, Thomas Craig, Leonard Eugene Dickson, Edward Kasner, Heinrich Maschke, Eliakim Hastings Moore, Hubert Anson Newton, Truman Henry Safford, James Joseph Sylvester, Charles Scott Venable, Henry Seely White and (with Loren Feffer Butler) articles on Ernest Julius Wilczynski and Edward Burr Van Vleck for American National Biography (New York: Oxford University Press, 1999).
Entry on "Mathematics and Statistics," in The Oxford Companion to United States History (New York: Oxford University Press, 2001).
Entry on "American Mathematical Society" for The History of Science in the United States: An Encyclopedia, ed. Mark Rothenberg (New York: Garland Publishing, Inc., 2001).
Entry on Charles Bonnycastle in Dictionary of Virginia Biography (Richmond: Virginia State Library and Archives, 2001).
Entries on Edwin Bailey Elliott and James Joseph Sylvester for the Oxford Dictionary of National Biography: In Association with the British Academy: From the Earliest Times to the Year 2000 (Oxford: Oxford University Press, 2004).
Entries on George Salmon and James Joseph Sylvester for Dictionary of NineteenthCentury British Scientists (London: Thoemmes Press, 2004).
Entry on James Joseph Sylvester for the Princeton Companion to Mathematics, ed. Tim Gowers (Princeton: Princeton University Press, 2008), pp. 768769.
Entry on Nathan Jacobson for American National Biography Online (New York: Oxford University Press).
Entry on William Holding Echols for the Dictionary of Virginia Biography (Richmond: Library of Virginia), to appear.
Entry on "Mathematics and Statistics" for the Oxford Encyclopedia of American Scientific, Medical, and Technological History, ed. Hugh Slotten (New York: Oxford University Press), to appear.

Book Reviews

Review (in French) of Lewis Pyenson's Neohumanism and the Persistence of Pure Mathematics in Wilhelmian Germany in Revue de Synthèse,
3d ser., no. 115, (l984), 376377.
Review of Markus Fierz's Girolamo Cardano (l501l576): Physician, Natural Philosopher, Mathematician, Astrologer, and Interpreter of Dreams in
the Journal of the History of Medicine and Allied Sciences 39 (l984), 478480.
Essay Review of the English Translation of Hans Wussing's Genesis of the Abstract Group Concept in the American Mathematical Monthly 93 (1986),
823826.
Review of Tony Lévy's Figures de l'infini: Les mathématiques au miroir des cultures in ISIS: The Journal of the History of
Science Society 79 (1988), 325326.
Review of Dorothy Stein's Ada: A Life and a Legacy in Historia Mathematica 16 (1989), 9495.
Review of Discrete Thoughts: Essays on Mathematics, Science and Philosophy by Mark Kac, GianCarlo Rota, and Jacob T. Schwartz in ISIS:
The Journal of the History of Science Society 80 (1989), 155156.
Review of Mathematics of the Nineteenth Century, ed. A. N. Kolmogorov and A. P. Yushkevich in American Mathematical Monthly (1994), 369374.
Review of Aldo Brigaglia, Ciro Ciliberto, and E. Sernesi, ed., Algebra e Geometria: Il Contribuo italiano in Historia Mathematica, 24 (1997),
334339.
Review of Stanley Rabinowitz, ed., Problems and Solutions from "The Mathematical Visitor" 18771896 in Mathematical Gazette (Summer 1998), 9.
Review of Ivor GrattanGuinness and Gérard Bornet, ed., George Boole: Selected Manuscripts on Logic and its Philosophy in Historia
Mathematica 29 (2002), 492493.
Review of Richard Mankiewicz, The Story of Mathematics in Notices of the American Mathematical Society 49(4) (2002), 458461.
Review of Reinhard SiegmundSchultze, Rockefeller and the Internationalization of Mathematics between the Two World Wars in Mathematical Association
of America's Online Reviews; see
http://www.maa.org/reviews/rockefeller.html
Review of Richard Pipes, The Degaev Affair: Terror and Treason in Tsarist Russia in Mathematical Association of America's Online Reviews;
see
http://www.maa.org/reviews/degaev.html
Review of Tinne Kjeldsen et al., ed., New Trends in the History and Philosophy of Mathematics in Isis: The Journal of the History of
Science Society, 314315.
Review of Saunders Mac Lane: A Mathematical Autobiography (Wellesley, MA: A K Peters, Ltd., 2005) for History and Philosophy of Logic, 27 (2006), 8387.
Review of John Parker's R. L. Moore: Mathematician and Teacher (N.p.: The Mathematical Association of America, 2005) in Historia Mathematica 34
(2007), 448451.
Review of Daniel J. Cohen's Equations from God (Baltimore: The Johns Hopkins University Press, 2007) for ISIS: The Journal of the History of
Science Society 99 (2008), 193194.
Review of Alex Craik's Mr Hopkins' Men: Cambridge Reform and British Mathematics in the 19th Century in ISIS: The Journal of the History of
Science Society 100 (2009), 669670.
Review of M. B. W. Tent's Emmy Noether: The Mother of Modern Algebra for The American Women in Mathematics Newsletter 39 (Sept.–Oct. 2009), 1416.
Review of Amir Alexander's Duel at Dawn: Heroes, Martyrs, and the Rise of Modern Mathematics (Cambridge, MA and London: Harvard University Press, 2010)
in British Journal for the History of Science 44 (2011), 134135.
Review of Pluralité de l'algèbre à la Renaissance, ed. Sabine Rommevaux, Maryvonne Spiesser, and Maria Posa Massa Esteve (Paris:
Honoré Champion Éditeur, 2012) for The Renaissance Quarterly 66 (2013), 10001002.
Review of A History in Sum: 150 Years of Mathematics at Harvard, 1825–1975 by Steve Nadis and ShingTung Yau (Cambridge, MA: Harvard University Press, 2013),
249 pp. in Canadian Journal of History 43 (2014), 300302.

Miscellaneous Publications

"Editorial: The History of Mathematics, the History of Science, Mathematics, and Historia Mathematica" (with Jan P. Hogendijk), Historia
Mathematica 23 (1996), 15.
"Editorial: Historia Mathematica and the World Wide Web" (with Jan P. Hogendijk), Historia Mathematica 23 (1996), 353354.
"Editorial: Changes Underway at Historia Mathematica" (with Jan P. Hogendijk), Historia Mathematica 24 (1997), 359.
"Editorial: Thoughts and Thanks from the Editors" (with Jan P. Hogendijk), Historia Mathematica 26 (1999), 311313.
"The University of Virginia, 18251900: A Case Study in the Institutionalization of Mathematics in the United States" (with Sloan Despeaux, Laura Martini,
and Adrian C. Rice), in History of Undergraduate Mathematics in America: Proceedings of a Conference Held at the United States Military Academy, West Point,
New York, June 2124, 2001, ed. Amy ShellGellasch, pp. 237254.
"The Value of Mathematical Archives" (with Steve Batterson, Charles Curtis, and Albert Lewis), Notices of the American Mathematical Society 50 (2003),
14091415.
"The Fifth Award of the Kenneth O. May Medal and Prize," Historia Mathematica 32 (2005), 397399.
"The Sixth Award of the Kenneth O. May Medal and Prize," Historia Mathematica 37 (2010), 47.
"Éloge: Allen George Debus, 16 August 1926–6 March, 2009" (with Kuming "Kevin" Chang), ISIS: The Journal of the History of Science Society 101
(2010), 159162.
Finding Guide for the Gordon T. Whyburn Collection, Special Collections, University of Virginia, 28 pages (in Word). See also
http://smallnotes.library.virginia.edu/2015/01/15/historianofscienceturnsarchivist
"Éloge: Ivor GrattanGuinness (23 June 1941–12 December 2014)" (with Joseph W.~Dauben), ISIS: The Journal of the History of Science Society
106 (2015), 875879.