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Dominion of

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DOMINION OF CANADA.—Some mathematical papers are to be found in Proceedings and Transactions of the Royal Society of Canada (1882 + ) .

FINLAND.

Mathematical papers of importance are to be found in : Finska V etenskaps-Societeten, Acta, Societatia Scientiarum Fennicae (1842+) and Commentationes Physico-Mathematicae (1922+) ; and in Suomen Tiedeakatemia, Toimituksia, A (Finnish Academy of Sciences, Annales, A, 1909+). The papers of the latter are entirely in English, French and German.

FRANCE.—The Societe Mathematique de France, founded at Paris in 1872, has about 415 members and publishes a Bulletin (1873+). The other most important periodicals for mathematics are: Annales Scientifiques de l'Ecole Normale Superieure (1864 +) ; Journal de l'Ecole Polytechnique ; Journal de Mathematiques Pures et Appliquees (1836+), continuation of Annales de Mathematiques Pures et Appliquees (1810-32); An nales de la Faculte des Sciences de l'Universite de Toulouse pour les Sciences Mathematiques et les Sciences Physiques (1887+); L'Institut de France, L'Academie des Sciences, Comptes Rendu.c (1835+); Societe Philomathique de Paris, Bulletin (1789+); and Association Francaise pour l'Avancement des Sciences, Compte Rendu (1872+). There is much of mathematical interest in Revue du Mois (1906-2o) (Borel) and Revue de Metaphysique et de Morale (1893 + ), Paris.

Other periodicals are : Nouvelles Annales de Mathematiques (1842-1927); L'Intermediaire des Mathematiciens of value for bibliography and history; Revue de Mathematiques Speciales (1890+) for secondary schools; and Journal de Mathe matiques Elementaires et Speciales (1877-1901) (de Long champs).

GERMANY.

The oldest mathematical society in existence is the Mathematische Gesellschaft in Hamburg, founded in 1690 as "Kunstrechnungsliebende Societat," and continued, 1790-1876, as "Gesellschaft zur Verbreitung der mathematischen Wissen schaften." It has about ioo members and has published Mitteil ungen (1873-188o, mimeographed; 1881+, printed) and at least 8o issues of Jahresbriefe or Jalzres-Berichte or Berichte (1723-1878). What constitutes a complete set is unknown. The national society, Deutsche Mathematiker Vereinigung, was founded in 1891 and has about i,roo members. It has published Jahresbericht (189 2+), with Ergdnzungsbande (1906-14 ). The

Berliner Mathematische Gesellschaft, founded in 1901, has about 30o members, and has published a Sitzungsberichte (1902+). The Gesellschaft fill% angewandte Mathematik und Mechanik, which was founded at Leipzig in 1922, has approximately 32o members.

Four of the most important periodicals in the world are: Mathematische Annalen (1869+), Mathematische Zeitschrift (1918+), and Journal fur die rein and angewandte Mathematik (Crelle, 1826+), and Jahrbuch fiber die Fortschritte der Mathe matik (1871+) an annual survey of mathematical literature since 1868. Other publications of special value for the mathe matician are : Nachrichten, mathematisch-physikalische Klasse, of the Gesellschaft der Wissenschaften (1845+), Gottingen; Preussische Akademie der Wissenschaften, various publications (I7io+), Bayerische Akademie der iVissenschaften, Sitzungs berichte ( 186o+ ) and Abhandlungen (1829+ ) ; Siichsische Gesellschaft (Akademie) der Wissenschaften, Berichte (1846+) and Abhandlungen ; Heidelberg, Akademie der Wissen schaften, Sitzungsberichte (1910+). Among others are : Archiv der Mathematik and Physik (1841-192o); Zeitschrift fur Mathe matik and Physik (1856-1917) to which Abhandlungen zur Ge schichte der mathematischen Wissenschaften (1877-1913) was a supplement (1877–I900) ; Matfematisch-nturvissenschaftliche Mitteilungen, Tubingen and Stuttgart (1884-1922; no numbers 1893-98; title extended, 1899+, by: im Auftrag des mathema tisch-naturwissenschaftlichen V ereins in 'Wurttemberg), which in 1891-92 had the title Alitteilungen des mathematisch-naturwis senscltaf tlichen V ereins in Wurttemberg; University of Hamburg, Abhandlungen aus dem mathematischen Seminar (I 922+ ) ; Zeitschrift fur angewandte Mathematik und Mechanik (192I+); and Zeitschrift fur mathematischen and naturwissenschaftlichen Unterricht (1870+). Of historical interest are: Acta Eruditorum and Supplementa ; Nova Acta Eruditorum and Sup plementa (1732-76) ; Mitteilungen zur Geschichte der Medizin and der Naturwissenschaften (1902+) ; and Archiv fiir die Ge schichte der Naturwissenschaften and der Technik (1909-22), continued as Archiv fur Geschichte der Mathematik, der Natur wissenschaften und der Technik (1927+).

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