MATHEMATICAL SOCIETIES AND PERIODI CALS. The number of mathematical societies, clubs, and circles organized since the early one at Hamburg in 1690 is exceedingly large, but the number of mathematical periodicals since the seven teenth century is very much larger. Important mathematical work of a country is often given in publications of its academies or societies. Hence any listing of mathematical periodicals must take account of these. Space limitations require that a selection only be made from the vast amount of available material regard ing societies and periodicals. That each country's contribution in this regard might be clearly set forth, the material has been arranged alphabetically according to countries.
The great national mathematical societies were established in their countries in the following order : Russia, Great Britain, France, Italy, United States and Germany.
ARGENTINA.—The Sociedad Matematica Argentina was organ ized at Buenos Aires in 1921 and in 1924 adopted Revista de Matemdticas y Fisicas Elementales (1919-24), as its official or gan, the name being then changed to Revista Matemdtica (1924+). These periodicals were continuations of Revista de Matemdticas, Buenos Aires (1916-18). Material of more im portance has appeared in Universidad Nacional de la Plata, Fa cultad de Ciencias Fisice,s, Matemdticas y Astronomicas (1901 +), and Boletin del Seminario Matemdtico Argentino (1928+).
AUSTRALASIA.—There are some mathematical papers in Royal Society of New South Wales, Journal and Proceedings (1867+), Sydney; and Royal Society of Victoria, Proceedings (1854+), Melbourne.
AUSTRIA.—Monatshefte fur Mathematik and Physik (189o+) has been issued by the Mathematical Seminary of the University of Vienna. The Anzeiger and Denkschriften and Sitzungsberichte, mathematisch-physikalische Klasse (1848+), of the K. Akademie der Wissenschaften, are of importance for the mathematician.
BELGIUM.—The Societe Mathematique de Belgique, founded at Brussels in 1921, adopted Mathesis, recueil mathematique l'usage des Ecoles Speciales, Ghent (1881+, suspended 1916— 20) as its official organ. But the chief sources for research ma terial in mathematics are : Academie Royale des Sciences, des Lettres et des Beaux-Arts, Brussels, Bulletin (1832+), and Me moires (I 840+) ; and Societe Scientifique de Bruxelles, Annales (1875+ ; suspended 1914-19), Louvain. Another publication of
this Societe, Revue des Questions Scientifiques (1877+), con tains interesting material, especially for the history of mathe matics. Correspondance Mathematique et Physique (Quetelet) published at Ghent and Brussels (1825-39) was of more impor tance than Nouvelle Correspondance Mathematique, Brussels (1875-8o). A recent Flemish publication at Ghent is Wis-en Natuurkundig Tijdschrift (19214.). Isis (1913), a journal de voted to the history of science was founded, and is still con ducted, by Sarton. After one and a half volumes had been issued the publication was continued in the United States (see there).
Publications de la Faculte des Sciences de l'Universite Ma saryk (1921+) Briinn, contain a number of mathematical mono graphs.