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zbMATH Open, formerly Zentralblatt MATH, is a major reviewing service providing reviews and abstracts for articles in pure and
applied mathematics Applied mathematics is the application of mathematics, mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and Industrial sector, industry. Thus, applied mathematics is a ...
, produced by the Berlin office of FIZ Karlsruhe – Leibniz Institute for Information Infrastructure GmbH. Editors are the European Mathematical Society, FIZ Karlsruhe, and the Heidelberg Academy of Sciences. zbMATH is distributed by
Springer Science+Business Media Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing. Originally founded in 1842 in ...
. It uses the
Mathematics Subject Classification The Mathematics Subject Classification (MSC) is an alphanumerical classification scheme that has collaboratively been produced by staff of, and based on the coverage of, the two major mathematical reviewing databases, Mathematical Reviews and Zen ...
codes for organising reviews by topic.


History

Mathematicians Richard Courant, Otto Neugebauer, and Harald Bohr, together with the publisher Ferdinand Springer, took the initiative for a new mathematical reviewing journal. Harald Bohr worked in Copenhagen. Courant and Neugebauer were professors at the
University of Göttingen The University of Göttingen, officially the Georg August University of Göttingen (, commonly referred to as Georgia Augusta), is a Public university, public research university in the city of Göttingen, Lower Saxony, Germany. Founded in 1734 ...
. At that time, Göttingen was considered one of the central places for mathematical research, having appointed mathematicians like
David Hilbert David Hilbert (; ; 23 January 1862 – 14 February 1943) was a German mathematician and philosopher of mathematics and one of the most influential mathematicians of his time. Hilbert discovered and developed a broad range of fundamental idea ...
, Hermann Minkowski, Carl Runge, and
Felix Klein Felix Christian Klein (; ; 25 April 1849 – 22 June 1925) was a German mathematician and Mathematics education, mathematics educator, known for his work in group theory, complex analysis, non-Euclidean geometry, and the associations betwe ...
, the great organiser of mathematics and physics in Göttingen. His dream of a building for an independent mathematical institute with a spacious and rich reference library was realised four years after his death. The credit for this achievement is particularly due to Richard Courant, who convinced the
Rockefeller Foundation The Rockefeller Foundation is an American private foundation and philanthropic medical research and arts funding organization based at 420 Fifth Avenue, New York City. The foundation was created by Standard Oil magnate John D. Rockefeller (" ...
to donate a large amount of money for the construction. The service was founded in 1931, by Otto Neugebauer as ''Zentralblatt für Mathematik und ihre Grenzgebiete''. It contained the bibliographical data of all recently published mathematical articles and book, together with
peer review Peer review is the evaluation of work by one or more people with similar competencies as the producers of the work (:wiktionary:peer#Etymology 2, peers). It functions as a form of self-regulation by qualified members of a profession within the ...
s done by mathematicians over the world. In the preface to the first volume, the intentions of Zentralblatt are formulated as follows: ''Zentralblatt'' and the '' Jahrbuch über die Fortschritte der Mathematik'' had in essence the same agenda, but ''Zentralblatt'' published several issues per year. An issue was published as soon as sufficiently many reviews were available, in a frequency of three or four weeks. In the late 1930s, it began rejecting some
Jew Jews (, , ), or the Jewish people, are an ethnoreligious group and nation, originating from the Israelites of ancient Israel and Judah. They also traditionally adhere to Judaism. Jewish ethnicity, religion, and community are highly inte ...
ish reviewers and a number of reviewers in
England England is a Countries of the United Kingdom, country that is part of the United Kingdom. It is located on the island of Great Britain, of which it covers about 62%, and List of islands of England, more than 100 smaller adjacent islands. It ...
and
United States The United States of America (USA), also known as the United States (U.S.) or America, is a country primarily located in North America. It is a federal republic of 50 U.S. state, states and a federal capital district, Washington, D.C. The 48 ...
resigned in protest. Some of them helped start ''
Mathematical Reviews ''Mathematical Reviews'' is a journal published by the American Mathematical Society (AMS) that contains brief synopses, and in some cases evaluations, of many articles in mathematics, statistics, and theoretical computer science. The AMS also pu ...
'', a competing publication. The electronic form was provided under the name ''INKA-MATH'' (
acronym An acronym is a type of abbreviation consisting of a phrase whose only pronounced elements are the initial letters or initial sounds of words inside that phrase. Acronyms are often spelled with the initial Letter (alphabet), letter of each wor ...
for ''In''formation System ''Ka''rlsruhe-Database on ''Math''ematics) since at least 1980. The name was later shortened to ''Zentralblatt MATH.'' In addition to the print issue, the services were offered online under the name ''zbMATH'' since 1996. Since 2004 older issues were incorporated back to 1826. The printed issue was discontinued in 2013. Since January 2021, the access to the database is now open under the name ''zbMATH Open''.


''Jahrbuch über die Fortschritte der Mathematik''

The ''Jahrbuch über die Fortschritte der Mathematik'' (Yearbook on the Progress of Mathematics) was internationally the first comprehensive journal of abstracts in the
history of mathematics The history of mathematics deals with the origin of discoveries in mathematics and the History of mathematical notation, mathematical methods and notation of the past. Before the modern age and the worldwide spread of knowledge, written examples ...
. It contains information about almost all of the most important publications in mathematics and their areas of application from the period 1868 to 1942. The ''Jahrbuch'' was written in 1868 by the mathematicians Carl Ohrtmann (1839–1885) and Felix Müller (1843–1928). It appeared annually with a few exceptions and initially contained 880 references per year (1868) and up to 7000 references in the later phase (around 1930). Some of the mathematical abstracts were written by famous mathematicians such as
Felix Klein Felix Christian Klein (; ; 25 April 1849 – 22 June 1925) was a German mathematician and Mathematics education, mathematics educator, known for his work in group theory, complex analysis, non-Euclidean geometry, and the associations betwe ...
,
Sophus Lie Marius Sophus Lie ( ; ; 17 December 1842 – 18 February 1899) was a Norwegian mathematician. He largely created the theory of continuous symmetry and applied it to the study of geometry and differential equations. He also made substantial cont ...
, Richard Courant, or
Emmy Noether Amalie Emmy Noether (23 March 1882 – 14 April 1935) was a German mathematician who made many important contributions to abstract algebra. She also proved Noether's theorem, Noether's first and Noether's second theorem, second theorems, which ...
. During WW II publication of the ''Jahrbuch'' was stopped. The ''Jahrbuchs founding concept was characterized by its documentary completeness. The ''Jahrbuch'' only appeared when all papers in a year had been completely processed. This was later paid for with a great loss of relevance. In addition, there was since 1931 the ''Zentralblatt MATH'', which surpassed the ''Jahrbuch'' in terms of speed of publication.


Services

The ''Zentralblatt MATH'' abstracting service provides reviews (brief accounts of contents) of current articles, conference papers, books and other publications in mathematics, its applications, and related areas. The reviews are predominantly in English, with occasional entries in German and French. Reviewers are volunteers invited by the editors based on their published work or a recommendation by an existing reviewer. ''Zentralblatt MATH'' is provided both over the Web and in printed form. The service reviews more than 2,300 journals and serials worldwide, as well as books and conference proceedings. ''Zentralblatt MATH'' is now edited by the European Mathematical Society, FIZ Karlsruhe, and the Heidelberg Academy of Sciences. The database also incorporates the 200,000 entries of the earlier similar publication ''Jahrbuch über die Fortschritte der Mathematik'' from 1868 to 1942, added in 2003. As of January 2021, the complete database is accessible for free. Previously, only the first three records in a search were available without a subscription.


See also

* All-Russian Mathematical Portal *
List of academic databases and search engines This page contains a representative list of major databases and search engines useful in an academic setting for finding and accessing articles in academic journals, institutional repository, institutional repositories, archives, or other collecti ...
*''
Mathematical Reviews ''Mathematical Reviews'' is a journal published by the American Mathematical Society (AMS) that contains brief synopses, and in some cases evaluations, of many articles in mathematics, statistics, and theoretical computer science. The AMS also pu ...
'', published in the United States * MathSciNet *'' Referativny Zhurnal'', published in the former Soviet Union and now in Russia


References


External links

*
Jahrbuch database
{{DEFAULTSORT:zbMATH Bibliographic databases and indexes Mathematical databases Online databases Publications established in 1931