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UNITED STATES.—The New York Mathematical Society, founded in 1888, developed into the American Mathematical Society (1894) which now has about 1,80o members, and is dedi cated to promoting mathematical research. The Bulletin of the New York Mathematical Society (1891-94) was continued as Bulletin of the American Mathematical Society (1894+). The Transactions of the American Mathematical Society was estab lished in 190o, and in 1927 the Society acquired an important share in editorial control of the American Journal of Mathematics (1878+), established by The Johns Hopkins University under Sylvester's direction. The Society has also published volumes on important topics of modern mathematics. The Mathematical Association of America, founded in 1915, and now having over 2,000 members, aspires particularly to serve the colleges of the country by awakening and sustaining interest in mathematics and by fostering the beginnings of mathematical research. Its official organ (1916+) is The American Mathematical Monthly (1894+) founded and published for many years by B. F. Finkel. Bibliotheca Mathematica (see under Sweden) was revived by the Association in 1929.

Other important mathematical publications are : Annals of Mathematics (1884+), a continuation of The Analyst (1874-83), published by the University of Virginia 1884-99, by Harvard University till 1912, and since then by Princeton University; and Journal of Mathematics and Physics (1921+) published by the Massachusetts Institute of Technology. Brief announcements of

new results are to be found in National Academy of Sciences, Proceedings (1915+). Some valuable mathematical work is to be found in University of California, Publications in Mathematics (1912+), Rice Institute Pamphlets (1915+), Houston, Texas; American Academy of Arts and Sciences, Proceedings (1846-0, National Academy of Science, Memoirs (1866+), and in Isis (1913+ ; not published between 1914 and 1919) the official organ of the History of Science Society. (See under Belgium.) Mathematics Teacher (1908+) is the official journal (192 I -1- ) of the National Council of Teachers of Mathematics, organized in 1920, and now having about 5,000 members. It publishes also a Yearbook (1926+).

BIBLIOGRAPHY.-Current journals grouped under countries of publi cation are listed in International Catalogue of Scientific Literature, List of Journals, 1903, and Supplementary List of Journals, 1904. But from the bibliographic point of view the great Union List of Serials in Libraries of the United States and Canada, New York, 1927, supersedes everything else of the kind. (R. C. A.)