Publications
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Books
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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).
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James Joseph Sylvester: Life and Work in Letters (Oxford: Oxford
University Press, 1998).
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James Joseph Sylvester: Victorian, Jew, Mathematician (Baltimore: Johns Hopkins University Press, 2006), to appear.
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Editions
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Experiencing Nature: Proceedings of a Conference in Honor of
Allen G. Debus, (ed. with Paul Theerman) (Boston/Dordrecht: Kluwer
Academic Publishers, 1997).
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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).
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Monographs
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"Joseph H. M. Wedderburn and the Structure Theory of Algebras,"
Archive for History of Exact Sciences 32 (1985):223-349.
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Articles
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"Varieties As Incipient Species: Darwin's Numerical Analysis,"
Journal of the History of Biology 15 (Summer 1982):191-214.
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"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):274-299.
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"E.H. Moore and the Founding of a Mathematical Community in America: 1892-1902,"
Annals of Science 41 (1984):313-333; reprinted in A Century of
Mathematics in America--Part II, ed. Peter Duren et al. (Providence:
American Mathematical Society, 1988), pp. 155-175.
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"Le Développement de la Théorie des Algèbres au XIXème Siècle,"
Sciences et Techniques en Perspective 10 (1985-1986):129-144.
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"The Art of Algebra From Al-Khwarizmi to Viète: A Study in the Natural Selection of
Ideas," History of Science 26 (1988):129-164.
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"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):153-196.
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"Toward a History of Nineteenth-Century Invariant Theory," in
The History of Modern Mathematics, ed. David E. Rowe and John McCleary, 2 vols.
(Boston: Academic Press, 1989), 1:157-206.
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"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. 1-24.
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Dictionary of Scientific Biography: Supplement II (New York: Charles
Scribner's Sons, 1990), S.v. "Albert, Abraham Adrian."
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"A Century-Old Snapshot of American Mathematics," The Mathematical Intelligencer
12 (3) (1990):7-11.
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"The One-Hundredth Anniversary of the Death of Invariant Theory?," The
Mathematical Intelligencer 12 (4) (1990):10-16.
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"A Study in Group Theory: Leonard Eugene Dickson's Linear Groups," The
Mathematical Intelligencer 13 (1) (1991):7-11.
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"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. 523-537.
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"The One-Hundredth Anniversary of Mathematics at the University of Chicago,''
The Mathematical Intelligencer 14 (2) (1992):39-44.
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"Embedded in the Culture: Mathematics at the World's Columbian Exposition''
(with David E. Rowe), The Mathematical Intelligencer 15 (2) (1993):40-45.
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"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. 179-227.
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"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. 229-261.
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Companion Encyclopedia of the History and Philosophy of the Mathematical Sciences, ed. Ivor Grattan-Guinness (London: Routledge, 1994), S.v. "North American Mathematics" (with David E. Rowe), pp. 1512-1525.
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"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), 2:1581-1591.
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"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. 61-69.
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"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):287-296 (this is a somewhat different version of "Mathematics in
National Contexts").
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"Building an International Reputation: The Case of J. J. Sylvester
(1814-1897)" (with Eugene Seneta), American Mathematical Monthly 104
(March 1997):210-222.
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"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. 81-111.
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"To Belong: The Role of Community in the Life and Work of J. J. Sylvester,"
The Mathematical Intelligencer 20 (1998):35-39.
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"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. 103-120.
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"The Mathematical Legacy of James Joseph Sylvester," Nieuw Archief voor
Wiskunde, 4th ser., 17 (1999):247-267.
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"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 60o compleanno, ed. Raffaella Franci et al. (Siena: Centro Studi della Matematica Medioevale, 2003), pp. 199-227.
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"Telling the Life of a Mathematician: The Case of J. J. Sylvester," Revue d'histoire des mathématiques 5 (1999):285-302.
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"Perspectives on American Mathematics," Bulletin of the American Mathematical Society 37 (2000):381-405.
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"Nineteenth-Century 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): 501-524.
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"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 (Reston, VA: National
Council of Teachers of Mathematics), to appear in 2002. This also appears in
Anais: IV Seminário nacional de história de mathemática, ed. John Fossa (Rio Claro: Editora SBH Mat, 2001), pp. 42-66.
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"The University of Virginia, 1825-1900: 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 21-24, 2001, ed. Amy Shell-Gellasch, pp. 237-254.
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"The Origins of Kac-Moody Lie Algebras" (with Stephen Berman), The Mathematical Intelligencer 24(1) (2002): 50-60.
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"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, 1800-1945,
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. 1-15.
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Defining a Mathematical Research School: The Case of Algebra at the University of Chicago, 1892-1945," Historia Mathematica, 31 (2004): 263-278.
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"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: Springer-Verlag, 2005), to appear.
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Articles 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).
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Entry on "Mathematics and Statistics" (750 words) for the The Oxford Companion to United States History (New York: Oxford University Press, 2001).
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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).
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Dictionary of Virginia Biography (Richmond: Virginia State Library and Archives,
2001), S.v. "Bonnycastle, Charles" (accepted December 1990).
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Entries on Edwin Bailey Elliott (revised entry; 1000 words) and James
Joseph Sylvester (new entry; 2000 words) for the New Dictionary of
National Biography (Oxford: Oxford University Press), to appear.
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Entries on George Salmon (600 words) and James Joseph Sylvester (3500 words) for Dictionary of Nineteenth-Century British Scientists (London: Thoemmes Press, 2004).
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Entries on James
Joseph Sylvester (500 words) and Algebra (10,000 words) for the Princeton Companion to Mathematics, ed. Tim Gowers (Princeton: Princeton University Press), to appear.
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Book Reviews
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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):376-377.
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Review of Markus Fierz's Girolamo Cardano (l501-l576): Physician, Natural
Philosopher, Mathematician, Astrologer, and Interpreter of Dreams in the Journal
of the History of Medicine and Allied Sciences 39 (l984):478-480.
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Essay Review of the English Translation of Hans Wussing's Genesis of the Abstract
Group Concept in the American Mathematical Monthly 93 (1986):823-826.
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Review of Tony Lévy's Figures de l'infini: Les mathématiques au miroir des cultures in Isis 79 (1988):325-326.
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Review of Dorothy Stein's Ada: A Life and a Legacy in Historia Mathematica 16 (1989):94-95.
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Review of Discrete Thoughts: Essays on Mathematics, Science and Philosophy by
Mark Kac, Gian-Carlo Rota, and Jacob T. Schwartz in Isis 80 (1989):155-156.
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Review of Mathematics of the Nineteenth Century, ed. A. N. Kolmogorov and A. P.
Yushkevich in American Mathematical Monthly (1994):369-374.
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Review of Aldo Brigaglia, Ciro Ciliberto, and E. Sernesi, ed., Algebra e Geometria:
Il Contribuo italiano in Historia Mathematica, 24 (1997):334-339.
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Review of Stanley Rabinowitz, ed., Problems and Solutions from "The Mathematical
Visitor" 1877-1896 in Mathematical Gazette (Summer 1998):9.
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Review of Ivor Grattan-Guinness and Gérard Bornet, ed., George Boole: Selected Manuscripts on Logic and its Philosophy in Historia Mathematica 29(2002): 492-493.
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Review of Richard Mankiewicz, The Story of Mathematics in Notices of the American Mathematical Society 49(4) (2002): 458-461.
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Review of Reinhard Siegmund-Schultze, Rockefeller and the Internationalization of Mathematics between the Two World Wars in Mathematical Association of America's On-line Reviews; see
http://www.maa.org/reviews/rockefeller.html
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Review of Richard Pipes, The Degaev Affair: Terror and Treason in Tsarist Russia in Mathematical Association of America's On-line Reviews; see
http://www.maa.org/reviews/degaev.html
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Review of Tinne Kjeldsen et al., ed., New Trends in the History and Philosophy of Mathematics in Isis, to appear.
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Miscellaneous Publications
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"Editorial: The History of Mathematics, the History of Science, Mathematics, and
Historia Mathematica" (with Jan P. Hogendijk), Historia Mathematica 23
(1996):1-5.
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"Editorial: Historia Mathematica and the World Wide Web" (with Jan P. Hogendijk),
Historia Mathematica 23 (1996):353-354.
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"Editorial: Changes Underway at Historia Mathematica" (with Jan P. Hogendijk),
Historia Mathematica 24 (1997):359.
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"Editorial: Thoughts and Thanks from the Editors" (with Jan P. Hogendijk),
Historia Mathematica 26 (1999):311-313.
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"The Value of Mathematical Archives" (with Steve Batterson, Charles Curtis, and Albert Lewis), Notices of the American Mathematical Society 50 (2003): 1409-1415.