Mathematical Reviews was founded by Otto E. Neugebauer in 1940^{ [3] } as an alternative to the German journal Zentralblatt für Mathematik ,^{ [4] } which Neugebauer had also founded a decade earlier, but which under the Nazis had begun censoring reviews by and of Jewish mathematicians.^{ [3] } The goal of the new journal was to give reviews of every mathematical research publication. As of November 2007, the Mathematical Reviews database contained information on over 2.2 million articles. The authors of reviews are volunteers, usually chosen by the editors because of some expertise in the area of the article. It and Zentralblatt für Mathematik are the only comprehensive resources of this type. (The Mathematics section of Referativny Zhurnal is available only in Russian and is smaller in scale and difficult to access.) Often reviews give detailed summaries of the contents of the paper, sometimes with critical comments by the reviewer and references to related work. However, reviewers are not encouraged to criticize the paper, because the author does not have an opportunity to respond. The author's summary may be quoted when it is not possible to give an independent review, or when the summary is deemed adequate by the reviewer or the editors. Only bibliographic information may be given when a work is in an unusual language, when it is a brief paper in a conference volume, or when it is outside the primary scope of the Reviews. Originally the reviews were written in several languages, but later an "English only" policy was introduced. Selected reviews (called "featured reviews") were also published as a book by the AMS, but this program has been discontinued.
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In 1980, all the contents of Mathematical Reviews since 1940 were integrated into an electronic searchable database. Eventually the contents became part of MathSciNet, which was officially launched in 1996.^{ [2] } MathSciNet also has extensive citation information.^{ [5] }
Mathematical Reviews computes a "mathematical citation quotient" (MCQ) for each journal. Like the impact factor, this is a numerical statistic that measures the frequency of citations to a journal.^{ [6] } The MCQ is calculated by counting the total number of citations into the journal that have been indexed by Mathematical Reviews over a five-year period, and dividing this total by the total number of papers published by the journal during that five-year period.
For the period 2012 – 2014, the top five journals in Mathematical Reviews by MCQ were:^{ [7] }
The "All Journal MCQ" is computed by considering all the journals indexed by Mathematical Reviews as a single meta-journal, which makes it possible to determine if a particular journal has a higher or lower MCQ than average. The 2018 All Journal MCQ is 0.41.
Current Mathematical Publications was a subject index in print format that published the newest and upcoming mathematical literature, chosen and indexed by Mathematical Reviews editors. It covered the period from 1965 until 2012, when it was discontinued.^{ [8] }
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Centaurus is a quarterly peer-reviewed academic journal covering research on the history of mathematics, science, and technology. It is the official journal of the European Society for the History of Science. The journal was established in 1950. The present publisher is John Wiley & Sons. The editor-in-chief is Koen Vermeir.
zbMATH, formerly Zentralblatt MATH, is a major international reviewing service providing reviews and abstracts for articles in pure and applied mathematics, produced by the Berlin office of FIZ Karlsruhe – Leibniz Institute for Information Infrastructure GmbH. Editors are the European Mathematical Society (EMS), FIZ Karlsruhe, and the Heidelberg Academy of Sciences. zbMATH is distributed by Springer Science+Business Media. It uses the Mathematics Subject Classification codes for organising the reviews by topic.
Studia Mathematica is a triannual peer-reviewed scientific journal of mathematics published by the Polish Academy of Sciences. Papers are written in English, French, German, or Russian, primarily covering functional analysis, abstract methods of mathematical analysis, and probability theory. The editor-in-chief is Adam Skalski.
MathSciNet is a searchable online bibliographic database created by the American Mathematical Society in 1996. It contains all of the contents of the journal Mathematical Reviews (MR) since 1940 along with an extensive author database, links to other MR entries, citations, full journal entries, and links to original articles. It contains almost 3.6 million items and over 2.3 million links to original articles.
The Journal of Physics A: Mathematical and Theoretical is a peer-reviewed scientific journal published by IOP Publishing. It is part of the Journal of Physics series and covers theoretical physics focusing on sophisticated mathematical and computational techniques. It was established in 1968 from the division of the earlier title, Proceedings of the Physical Society.
Classical and Quantum Gravity is a peer-reviewed journal that covers all aspects of gravitational physics and the theory of spacetime. Its scope includes:
Acta Numerica is a mathematics journal publishing research on numerical analysis. It was established in 1992 to publish widely accessible summaries of recent advances in the field. One volume is published each year, consisting of review and survey articles from authors invited by the journal's editorial board.
Acta Mathematica Sinica is a peer-reviewed mathematics journal published quarterly by Springer. Founded in 1985, the journal publishes articles on all areas of mathematics, and allows submissions from researchers of all nationalities. The journal is indexed by Mathematical Reviews and Zentralblatt MATH. Its 2009 MCQ was 0.42, and its 2015 impact factor was 0.386.
Archive for Mathematical Logic is a peer-reviewed mathematics journal published by Springer Science+Business Media. It was established in 1950 and publishes articles on mathematical logic. The journal is indexed by Mathematical Reviews and Zentralblatt MATH. Its 2009 MCQ was 0.32 and its 2018 impact factor was 0.394.
Numerische Mathematik is a peer-reviewed mathematics journal on numerical analysis. It was established in 1959 and is published by Springer Science+Business Media. The journal is indexed by Mathematical Reviews and Zentralblatt MATH. Its 2009 MCQ was 1.06, and its 2016 impact factor was 2.152.
Journal of the European Mathematical Society is a monthly peer-reviewed mathematical journal. Founded in 1999, the journal publishes articles on all areas of pure and applied mathematics.
The Journal of Cosmology and Astroparticle Physics is an online-only peer-reviewed scientific journal focusing on all aspects of cosmology and astroparticle physics. This encompasses theory, observation, experiment, computation and simulation. It has been published jointly by IOP Publishing and the International School for Advanced Studies since 2003. Journal of Cosmology and Astroparticle Physics has been a part of the SCOAP^{3} initiative. But from 1 January 2017 it has moved out from SCOAP^{3} agreement.
The Annals of Functional Analysis is a peer-reviewed mathematics journal published by the Tusi Mathematical Research Group. The journal was established in 2009 and covers functional analysis and operator theory. It is indexed by Science Citation Index Expanded, Mathematical Reviews and Zentralblatt MATH. The journal has an MCQ-2012 of 0.36 by MathSciNet.
The International Journal of Applied Mathematics and Computer Science is a peer-reviewed quarterly scientific journal published since 1991 by the University of Zielona Góra in partnership with De Gruyter Poland and Lubuskie Scientific Society, under the auspices of the Committee on Automatic Control and Robotics of the Polish Academy of Sciences. The editor-in-chief is Józef Korbicz. The journal covers various fields related to control theory, applied mathematics, scientific computing, and computer science.
The Journal of Group Theory is a bimonthly peer-reviewed mathematical journal covering all aspects of group theory. It was established in 1998 and is published by Walter de Gruyter. The editor-in-chief is Chris Parker.
Combinatorics, Probability and Computing is a peer-reviewed scientific journal in mathematics published by Cambridge University Press. Its editor-in-chief is Béla Bollobás. The journal covers combinatorics, probability theory, and theoretical computer science. Currently, it publishes six issues annually. As with other journals from the same publisher, it follows a hybrid green/gold open access policy, in which authors may either place copies of their papers in an institutional repository after a six-month embargo period, or pay an open access charge to make their papers free to read on the journal's website.
The Bulletin of Mathematical Sciences is a peer-reviewed scientific journal of mathematics published by Springer Open as a diamond open access journal. The journal concentrates on publishing high level expository papers, mostly invited, in all areas of mathematics, as well as short papers with original research. The journal publishes one volume per year, consisting of three issues. The journal's Executive Editors are Efim Zelmanov, S.K. Jain and Ahmed Alsaedi.
The Bulletin of the Brazilian Mathematical Society is a quarterly peer-reviewed scientific journal covering all areas of mathematics. It is the official journal of the Brazilian Mathematical Society and is published on their behalf by Springer Science+Business Media. The journal was established in 1970 as the Boletim da Sociedade Brasileira de Matemática, obtaining its current title in 1989. The editor-in-chief is Marcelo Viana.
The Journal of Modern Dynamics is a peer-reviewed scientific journal of mathematics published by the American Institute of Mathematical Sciences with the support of the Anatole Katok Center for Dynamical Systems and Geometry. The editor-in-chief is Giovanni Forni.
Research in Number Theory is a peer-reviewed mathematics journal covering number theory and arithmetic geometry. The editors-in-chief are Florian Luca, Ken Ono, and Andrew Sutherland. It was established in 2015 as a full open access journal, but is now a hybrid open access journal, published by Springer Science+Business Media.