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References
Addresses at the Inauguration of Daniel C. Gilman, as President of the Johns Hopkins University, Baltimore, February 22, 1876. Baltimore: John Murphy & Co., 1876.
Andrews, George E. “Generalizations of the Durfee Square.” Journal of the London Mathematical Society 3 (1971): 563–570.
Andrews, George E. “On a Partition Problem of J. J. Sylvester.” Journal of the London Mathematical Society 2 (1970): 571–576.
Andrews, George E. Partitions: Yesterday and Today. Wellington: New Zealand Mathematical Society, 1979.
Andrews, George E. The Theory of Partitions. Encyclopedia of Mathematics and its Applications, vol. 2. Reading: Addison Wesley Publishing Company, 1976.
Archibald, Raymond Clare, ed. A Semicentennial History of the American Mathematical Society: 1888–1938. New York: American Mathematical Society, 1938.
Archibald, Raymond Clare “Unpublished Letters of James Joseph Sylvester and Other New Information Concerning His Life and Work.” Osiris 1 (1936): 85–154.
Baltimore, Maryland. The Johns Hopkins University. Special Collections Division. Milton S. Eisenhower Library. Daniel C. Gilman Papers Ms. 1.
Bôcher, Maxime, Curtiss, D. R., Smith, P. F., & Van Vleck, E. B. “Graduate Work in Mathematics in Universities and in Other Institutions of Like Grade in the United States.” Bulletin of the American Mathematical Society 18 (1911): 122–137.
Boole, George. “Exposition of a general theory of linear transformation.” Cambridge Mathematical Journal 3 (1841): 1–20.
Boole, George. “Exposition of a general theory of transformations.” Cambridge Mathematical Journal 3 (1841): 106–119.
Browne, Charles Albert, & Weeks, Mary Elvira. A History of the American Chemical Society: Seventy-five Eventful Years. Washington, D.C.: American Chemical Society, 1952.
Bruce, Robert V. “A Statistical Profile of American Scientists, 1846–1876.” In Nineteenth-Century American Science: A Reappraisal, pp. 63–94. Edited by George H. Daniels. Evanston: Northwestern University Press, 1972.
Cambridge, England. St. John's College. The Library. James Joseph Sylvester Papers.
Cayley, Arthur. The Collected Mathematical Papers of Arthur Cayley. Edited by Arthur Cayley & A. R. Forsyth. 14 vols. Cambridge: University Press, 1889–1898.
Cayley, Arthur. “An Introductory Memoir Upon Quantics.” Philosophical Transactions of the Royal Society of London 144 (1854): 244–258.
Cayley, Arthur. “On Linear Transformations.” Cambridge and Dublin Mathematical Journal 1 (1846): 104–122.
Cayley, Arthur. “A Ninth Memoir on Quantics.” Philosophical Transactions of the Royal Society of London 161 (1871): 17–50.
Cayley, Arthur. “Researches on the Partitions of Numbers'” Philosophical Transactions of the Royal Society of London 145 (1855): 127–140.
Cayley, Arthur. “A Second Memoir Upon Quantics.” Philosophical Transactions of the Royal Society of London 146 (1856): 101–126.
Cayley, Arthur. “Supplementary Researches on the Partition of Numbers.” Philosophical Transactions of the Royal Society of London 148 (1858): 47–52.
Cordasco, Francesco. Daniel Coit Gilman and the Protean Ph.D.: The Shaping of American Graduate Education. Leiden: E. J. Brill, 1960.
Crilly, Anthony James. “The mathematics of Arthur Cayley with particular reference to linear algebra.” Ph.D. dissertation. Middlesex Polytechnic, June 1981.
Crilly, Anthony James. “The Rise of Cayley's Invariant Theory (1841–1862).” Historia Mathematica 13 (1986): 241–254.
Daniels, George H. American Science in the Age of Jackson. New York: Columbia University Press, 1968.
Daniels, George H., ed. Nineteenth-Century American Science: A Reappraisal. Evanston: Northwestern University Press, 1972.
Daniels, George H. “The Process of Professionalization in American Science: The Emergent Period, 1820–1860.” Isis 58 (1967): 151–166.
Dickson, Leonard E. Algebraic Theories. New York: Dover Publications, Inc. 1959.
Durfee, William Pitt. “Tables of Symmetric Functions of the Twelfthic.” American Journal of Mathematics 5 (1882): 45–61.
Durfee, William Pitt. “The Tabulation of Symmetric Functions.” American Journal of Mathematics 5 (1882): 348–349.
Elliott, Clark A., ed. Biographical Dictionary of American Science: The Seventeenth Through the Nineteenth Centuries. Westport: Greenwood Press, 1979.
Elliott, Edwin Bailey. An Introduction to the Algebra of Quantics. 2d ed. Oxford: University Press, 1913; reprint ed., New York: Chelsea Publishing Company, 1964.
Euler, Leonhard. Introductio in analysin infinitorum. Lausannae: apud Marcum-Michaelem Bousquet, 1748.
Faà di Bruno, Francesco. Théorie des Formes binaires. Turin: P. Marietti, 1876.
Feuer, Lewis S. “America's First Jewish Professor: James Joseph Sylvester at the University of Virginia.” American Jewish Archives 36 (1984): 151–201.
Feuer, Lewis S. “Sylvester in Virginia.” The Mathematical Intelligencer 9 (1987): 13–19.
Flexner, Abraham. Daniel Coit Gilman: Creator of the American Type of University. New York: Harcourt, Brace and Co., 1946.
Franklin, Fabian. The Life of Daniel Coit Gilman. New York: Dodd, Mead and Co., 1910.
Franklin, Fabian. “On the Calculation of the Generating Functions and Tables of Ground-forms for Binary Quantics.” American Journal of Mathematics 3 (1880): 128–153.
Franklin, Fabian. “Sur le développement du produit infini (1-x) (1-x2) (1-x3) (1-x4)...” Comptes rendus 82 (1881): 448–450.
French, John C. A History of the University Founded by Johns Hopkins. Baltimore: The Johns Hopkins University Press, 1946.
Gillispie, Charles C., ed. The Dictionary of Scientific Biography. 16 vols. 1 supp. New York: Charles S. Scribner's Sons, 1970–1980.
Gilman, Daniel Coit. The Launching of a University and Other Papers: A Sheaf of Remembrances. New York: Dodd, Mead & Co., 1906.
Gordan, Paul. “Beweis, dass jede Covariante und Invariante einer binären Form eine ganze Function mit numerischen Coefficienten einer endlichen Anzahl solcher Formen ist.” Journal für die reine and angewandte Mathematik 69 (1868): 323–354.
Grabiner, Judith V. “Mathematics in America: The First Hundred Years.” In The Bicentennial Tribute to American Mathematics: 1776–1976, pp. 9–24. Edited by Dalton Tarwater. N. P.: Mathematical Association of America, 1977.
Greene, John C. “American Science Comes of Age, 1780–1820.” The Journal of American History 55 (1968): 22–41.
Greene, John C. American Science in the Age of Jefferson. Ames: The Iowa State University Press, 1984.
Guralnick, Stanley M. “The American Scientist in Higher Education, 1820–1910.” In The Sciences in the American Context: New Perspectives, pp. 99–141. Edited by Nathan Reingold. Washington, D.C.: Smithsonian Institution Press, 1976.
Guralnick, Stanley M. Science and the Ante-Bellum American College. Philadelphia: American Philosophical Society, 1975.
Guralnick, Stanley M. “Sources of Misconception on the Role of Science in the Nineteenth-Century American College.” Isis 65 (1974): 352–366.
Hawkins, Hugh. Pioneer: A History of The Johns Hopkins University 1874–1889. Ithaca: Cornell University Press, 1960.
Hofstadter, Richard. “The Revolution in Higher Education.” In Paths of American Thought, pp. 269–290. Edited by Arthur M. Schlesinger, Jr., & Morton White. Boston: Houghton Mifflin Company, 1970.
Hofstadter, Richard, & Hardy, C. DeWitt. The Development and Scope of Higher Education in the United States. New York: Columbia University Press, 1952.
Johns Hopkins University Celebration of the Twenty-Fifth Anniversary of the Founding of the University and Inauguration of Ira Remsen, LL.D. as President of the University. Baltimore: The Johns Hopkins Press, 1902.
Kevles, Daniel J. The Physicists: The History of a Scientific Community in Modern America. New York: Alfred A. Knopf, 1978.
Kohlstedt, Sally Gregory. The Formation of the American Scientific Community: The American Association for the Advancement of Science 1848–60. Urbana: University of Illinois Press, 1976.
Legendre, Adrien-Marie. Théorie des Nombres. 2 vols. Paris: 1830, reprint ed., Paris Albert Blanchard, 1955.
MacMahon, Percy A. “Combinatory Analysis: A Review of the Present State of Knowledge.” Proceedings of the London Mathematical Society 28 (1897): 5–32.
MacMahon, Percy A. Percy Alexander MacMahon: Collected Papers. Edited by George E. Andrews. 2 vols. Cambridge: MIT Press, 1986.
Matz, F. P. “Prof. Thomas Craig, C. E., Ph.D.” American Mathematical Monthly 8 (1901): 183–187.
Oleson, Alexandra, & Brown, Sanborn C., ed. The Pursuit of Knowledge in the Early American Republic: American Scientific and Learned Societies from Colonial Times to the Civil War. Baltimore: Johns Hopkins University Press, 1976.
Parshall, Karen Hunger. “Eliakim Hastings Moore and the Founding of a Mathematical Community in America, 1892–1902.” Annals of Science 41 (1984): 313–333.
Reingold, Nathan. “American Indifference to Basic Research: A Reappraisal.” In Nineteenth-Century American Science: A Reappraisal, pp. 38–62. Edited by George H. Daniels. Evanston: Northwestern University Press, 1972.
Reingold, Nathan. “Definitions and Speculations: The Professionalization of Science in America in the Nineteenth Century.” In The Pursuit of Knowledge in the Early American Republic: American Scientific and Learned Societies from Colonial Times to the Civil War, pp. 33–69. Edited by Alexandra Oleson & Sanborn C. Brown. Baltimore: Johns Hopkins University Press, 1976.
Reingold, Nathan, ed. The Sciences in the American Context: New Perspectives. Washington, D.C.: Smithsonian Institution Press, 1976.
Rosenberg, Charles E. No Other Gods: On Science and American Social Thought. Baltimore: Johns Hopkins University Press, 1976.
Rossiter, Margaret W. Women Scientists in America: Struggles and Strategies to 1940. Baltimore: Johns Hopkins University Press, 1982.
Rowe, David E. “Die Wirkung deutscher Mathematiker auf die amerikanische Mathematik, 1875–1900.” Mitteilungen der mathematischen Gesellschaft der DDR, to appear.
Schlesinger, Arthur M., Jr., & White, Morton, ed. Paths of American Thought. Boston: Houghton Mifflin Company, 1970.
Servos, John. “Mathematics and the Physical Sciences in America, 1880–1930.” Isis 77 (1986): 611–629.
Simons, Lao G. “The Influence of French Mathematicians at the End of the Eighteenth Century upon the Teaching of Mathematics in American Colleges.” Isis 15 (1931): 104–123.
Smith, David Eugene. “Early American Mathematical Publications.” Scripta Mathematica 1 (1933): 277–285.
Smith, David Eugene, & Ginsburg, Jekuthiel. A History of Mathematics in America Before 1900. Chicago: Mathematical Society of America, 1934; reprint ed., New York: Arno Press, 1980.
Sylvester, James Joseph. “Analytical Developments of Fresnel's Optical Theory of Crystals.” Philosophical Magazine 11 (1837): 461–469, 537–541, and 12 (1838): 73–83, 341–345.
Sylvester, James Joseph. The Collected Mathematical Papers of James Joseph Sylvester. Edited by H. F. Baker. 4 vols. Cambridge: University Press, 1904–1912; reprint ed., New York: Chelsea Publishing Co., 1973.
Sylvester, James Joseph. “A Constructive Theory of Partitions, Arranged in Three Acts, an Interact, and an Exodion” American Journal of Mathematics 5 (1882) 251–330.
Sylvester, James Joseph. “Démonstration graphique d'un Théorème d'Euler concernant les Partitions des Nombres.” Comptes rendus 96 (1883): 1110–1112.
Sylvester, James Joseph. “An Instantaneous Graphical Proof of Euler's Theorem on the Partitions of Pentagonal and Non-Pentagonal Numbers.” Johns Hopkins University Circulars 2 (1883): 71.
Sylvester, James Joseph. The Laws of Verse; or, Principles of Versification Exemplified in Metrical Translations: Together with an Annotated Reprint of the Inaugural Presidential Address to the Mathematical and Physical Sections of the British Association at Exeter. London: Longmans, Green, & Co., 1870.
Sylvester, James Joseph. “Note on the Paper of Mr. Durfee's.” Johns Hopkins University Circulars 2 (1883): 23, 24, 42, 43.
Sylvester, James Joseph. “On a Discovery in the Partition of Number.” Quarterly Journal of Mathematics 1 (1855): 81–84.
Sylvester, James Joseph. “On Mr. Cayley's Impromptu Demonstration of the Rule for Determining at Sight the Degree of any Symmetrical Function of the Roots of an Equation Expressed in Terms of the Coefficients.” Philosophical Magazine 5 (1853): 199–202.
Sylvester, James Joseph. “On the Partition of Number.” Quarterly Journal of Mathematics 1 (1855): 141–152.
Sylvester, James Joseph. “On the Problem of the Virgins, and the General Theory of Compound Partition.” Philosophical Magazine 16 (1858): 371–376.
Sylvester, James Joseph. “On Subinvariants, that is, Semi-invariants to Binary Quantics of an Unlimited Order.” American Journal of Mathematics 5 (1882): 79–136.
Sylvester, James Joseph. “Outlines of Seven Lectures on the Partitions of Numbers.” Proceedings of the London Mathematical Society 28 (1897): 33–96.
Sylvester, James Joseph. “Proof of the hitherto Undemonstrated Fundamental Theorem of Invariants.” Philosophical Magazine 5 (1878): 178–188.
Tarwater, Dalton, ed. The Bicentennial Tribute to American Mathematics: 1776–1976. N. P.: Mathematical Association of America, 1977.
Truesdell, Clifford. An Idiot's Fugitive Essays on Science: Methods, Criticism, Training, Circumstances. New York: Springer-Verlag, 1984.
Veysey, Laurence R. The Emergence of the American University. Chicago: University of Chicago Press, 1965.
Yates, R. C. “Sylvester at the University of Virginia.” American Mathematical Monthly 44 (1937): 194–201.
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Communicated by H. Freudenthal & C. Truesdell
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Parshall, K.H. America's first school of mathematical research: James Joseph Sylvester at The Johns Hopkins University 1876–1883. Arch. Hist. Exact Sci. 38, 153–196 (1988). https://doi.org/10.1007/BF00348456
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DOI: https://doi.org/10.1007/BF00348456