# Mathematical Journals

## Mathematical Journals

Specialized mathematical journals that were organs of different scientific institutions, societies, and associations appeared at the beginning of the 19th century. By the 1970’s more than 250 mathematical journals were being published in the world. The ever-increasing output of such publications has made necessary the publication of abstracting journals. The growth of mathematical education has led to the creation of mathematical journals dealing with teaching problems and techniques for teaching mathematics, primarily in secondary schools.

** General journals**. Individual mathematical articles were first published in general journals. Of historical interest are the

*Journal des savants*(Paris-Amsterdam-Leipzig, first published in 1665), which printed the works of the Bernoulli brothers on the infinitesimal calculus;

*Acta eruditorum*(Leipzig, 1682-1731), which published many works of G. von Leibniz on the differential and integral calculus, an exposition of the contents of I. Newton’s

*Mathematical Foundations of Natural Philosophy,*and articles by G. de L’Hopital, the Bernoulli brothers, and other leading mathematicians; and

*Commentarii Academiae scientiarum imperialis Petropolitanae*(St. Petersburg, 1728-51; the name was changed several times). The publication of the St. Petersburg Academy of Sciences included 43 papers by D. Bernoulli, 473 papers by L. Euler (printed before 1830), and papers by such famous Russian mathematicians as M. V. Ostrogradskii (60 papers), V. Ia. Buniakovskii (103 papers), P. L. Chebyshev (50 papers), E. L Zolotarev (six papers), A. A. Markov (51 papers), A. M. Liapunov (20 papers), and V. A. Steklov (47 papers).

Many scientific societies and universities in various cities of Russia and the USSR have published and continue to publish their own publications (for example, *Izvestiia, Trudy, Soobshcheniia, Sborniki rabot*) which also contain mathematical articles. Among these publications are *Kazanskii vestnik* (1821-33) and its successor, *Uchenye zapiski Kazanskogo Universiteta* (first published, 1834) in which the most important papers of N. I. Lobachevskii were first published. Other such journals include *Izvestiia Fiziko-matematicheskogo obshchestva pri Kazanskom universitete* (first published, 1891), *Uchenye zapiski imp. Moskovskogo universiteta* (1833-36), *Uchenye zapiski imp. Moskovskogo universiteta: Otdel fiziko-matematicheskii* (1880-1916), and *Uchenye zapiski Moskovskogo universiteta* (since 1933).

Various general publications of foreign academies, universities, and scientific societies also devote considerable attention to mathematical articles.

A number of general journals carry short preliminary reports on results obtained in mathematics. The leading journals of this type are *Doklady Akademii nauk SSSR* (since 1922), *Comptes rendus de l’Académic des sciences* (Paris, since 1835), and *Proceedings of the National Academy of Sciences of the United States of America* (Washington, D. C., since 1915).

** Specialized mathematical journals**. The oldest mathematical journals still being published (1974) are

*Matematicheskii sbornik*(since 1866),

*Journal fur die reine und angewandte Mathematik*(Berlin, since 1826),

*Journal de mathematiques pures et appliquees*(Paris, since 1836),

*Annales scientifiques de l’École normale Superieure*(Paris, since 1864),

*Proceedings of the London Mathematical Society*(London, since 1865),

*Mathematische Annalen*(Berlin-Leipzig, since 1869),

*Bulletin de la Societe mathematique de France*(Paris, since 1872),

*American Journal of Mathematics*(Baltimore, Md., since 1878),

*Acta mathematica*(Uppsala-Stockholm, since 1882),

*Proceedings of the Edinburgh Mathematical Society*(Edinburgh, since 1883),

*Annals of Mathematics*(Princeton, N. J., since 1884),

*Rendiconti del Circolo matematico di Palermo*(Palermo, since 1884),

*and Bulletin of the American Mathematical Society*(Providence, R. I., since 1891).

More recent specialized mathematical journals include *Izvestiia AN SSSR: Seriia matematicheskaia* (from 1937), *Uspekhi matematicheskikh nauk* (since 1946), *Ukrainskii matematicheskiizhurnal* (Kiev, since 1949), *Sibirskii matematicheskii zhurnal* (Novosibirsk, since 1960), *Matematicheski zametki* (since 1967), *Transactions of the American Mathematical Society* (Providence, R. I., since 1900), *Biometrika* (London, since 1901), *Mathematische Zeitschrift* (West Berlin, since 1918), *Fundamenta mathematicae* (Warsaw, since 1920), *Journal of the London Mathematical Society* (London, since 1926), *Quarterly Journal of Mathematics* (Oxford, since 1930), *Scripta mathematica* (New York, since 1931), *Duke Mathematical Journal (Durham*, N. C, since 1935), and *Quarterly of Applied Mathematics* (Providence, R. I., since 1943).

Other recent journals are *Journal of the Mathematical Society of Japan* (Tokyo, since 1948), *Annales de l’lnstitut Fourier* (Grenoble, since 1949), *Canadian Journal of Mathematics* (Toronto, Ont., since 1949), *Mathematikai lapok* (Budapest, since 1949), *Mathematische Nachrichten* (Berlin, since 1948), *Studii§i cercetdri matematice* (Bucharest, since 1950), *Proceedings of the American Mathematical Society* (Providence, R. I., since 1950), *Nagoya Mathematical Journal* (Nagoya, since 1950), *Acta mathematica Academiae scientiarum hungaricae* (Budapest, since 1950), *Casopis pro pe’stovdni matematiky* (Prague, since 1951), *Publications de l’lnstitut mathematique de Belgrade* (Belgrade, since 1947), *Michigan Mathematical Journal* (Ann Arbor, since 1952), *Ricerche di matematica* (Naples, since 1952), *SI AM Journal on Applied Mathematics* (Philadelphia, Pa., since 1953), *Publications of the Mathematical Society of Japan* (Tokyo, since 1955), *Revue roumaine de mathematiques pures et appliquees* (Bucharest, since 1956), *Izvestiia na Matematicheskiia institut (Bulgarska Akademiia na nau-kite*) (Sofia, since 1953), *Illinois Journal of Mathematics* (Urbana, since 1957), *Monatshefte fur Mathematik* (Vienna, since 1948), *The Journal of the Australian Mathematical Society* (Groningen-Melbourne, since 1959), *Advances in Mathematics* (New York, since 1961), *Osaka Journal of Mathematics* (Osaka, since 1964), *Bulletin of the London Mathematical Society* (London, since 1969), *and Mathematica balkanica* (Belgrade, since 1971).

** Journals in separate branches of mathematics**. The rapid development of mathematics in the second half of the 20th century created the need for mathematical journals dealing with separate branches of mathematics. These journals include

*Teoriia veroiatnostei i ee primeneniia*(since 1956),

*Zhurnal vychislitel’noi matematiki i matematicheskoi fiziki*(since 1961),

*Differentsial’nye uravneniia*(Minsk, since 1965),

*Funktsional’nyi analiz i ego prilozheniia*(since 1967),

*Bulletin of Mathematical Statistics*(Fukuoka, since 1947),

*Bulletin of the Calcutta Statistical Association*(Calcutta, since 1947),

*Journal*of

*Applied Probability*(Sheffield, England, since 1964),

*Journal of the Royal Statistical Society: Series C*(London, since 1952),

*Metrika*(Vienna-Wiirzburg, since 1958),

*Operational Research Quarterly*(London, since 1950), and

*Sankhya: The Indian Journal of Statistics*(Calcutta, since 1933).

Other such journals are *Zeitschrift fur Wahrscheinlichkeitstheorie und verwandte Gebiete* (West Berlin, since 1962), *Journal of Algebra* (New York, since 1964), *Journal of Combinatorial Theory* (New York, since 1966), *Journal of Symbolic Logic* (Menasha, Wis., since 1936), *Journal of Differential Geometry* (Providence, R. I., since 1967), *Journal of ’Differential Equations* (New York, since 1965), *Journal of Functional Analysis* (New York-London, since 1967), *Journal of Number Theory* (London-New York, since 1969), *Funkcialaj Ekvacioj* (Tokyo, since 1958), *Topology* (Oxford-New York, since 1962), *Zeitschrift fur mathematische Logik und Grundlagen der Mathematik* (Berlin, since 1955), *Tensor* (Sapporo, since 1938), *Annals of Probability* (Baltimore, Md., since 1973), *and Annals of Statistics* (Baltimore, Md. since 1973).

** Abstracting journals**. Abstracting journals in mathematics include the following: V. V. Bobynin’s

*Russkaia fiziko-matematicheskaia bibliografiia*(Russian Physicomathematical Bibliography; 1885-1900),

*Russkaia bibliografiia po estestvoznaniiu imatematike, sostavlennaia sostoiashchim pri imp. Akademii Nauk S.-Peterburgskim biuro mezhdunarodnoi bibliografii*(Russian Bibliography in the Natural Sciences and Mathematics; vols. 1-9, 1904-17),

*Fiziko-matematicheskii referativnyi zhurnal*(1939-41),

*Referativnyi zhurnal: Matematika*(since 1953),

*Jahrbuch über die Fortschritte der Mathematik*(Berlin-Leipzig, since 1868),

*Zentralblatt fur Mathematik und ihre Grenzgebiete*(Berlin, since 1931), and

*Mathematical Reviews*(Providence, R. I., since 1940).

** Journals of general interest and of elementary mathematics**. Journals of general interest and of elementary mathematics include

*Matematika v shkole*(since 1934),

*Archimedes*(Regensburg, since 1948),

*Bulletin de l’Association des professeurs de mathematiques de l’enseignement public*(Paris, since 1920),

*American Mathematical Monthly*(Washington, D. C., since 1894),

*Euclides*(Groningen, since 1925),

*Mathematika ve škole*(Prague, since 1951),

*A matematika tanitdsa*(Budapest, since 1953),

*Mathematics Magazine*(Washington, D. C., since 1947),

*Mathematics Teacher*(Reston, Va., since 1908),

*Mathematik in der Schule*(Berlin, since 1953),

*Nordisk matematisk tidskrift*(Oslo, since 1953).

*Education mathematique*(Paris, since 1898),

*Enseignement mathematique*(Paris-Geneva, since 1899),

*Praxis der Mathematik*(Cologne, since 1959), and

*Revue de mathematiques speciales*(Paris, since 1890).

Edited by R. V. GAMKRELIDZE