Zentralblatt MATH

Zentralblatt MATH is a comprehensive online database of mathematics reviews, providing access to reviews of mathematical analysis, number theory, algebraic geometry, and other areas of pure mathematics and applied mathematics, covering publications from University of Cambridge, Massachusetts Institute of Technology, California Institute of Technology, and University of Oxford. It is published by FIZ Karlsruhe and supported by the European Mathematical Society, with contributions from Mathematical Reviews, American Mathematical Society, and London Mathematical Society. The database contains reviews of articles from Journal of the American Mathematical Society, Inventiones Mathematicae, Annals of Mathematics, and other prominent mathematics journals, including those published by Springer Science+Business Media, Elsevier, and Taylor & Francis.

Introduction

Zentralblatt MATH is an essential tool for mathematicians, physicists, and computer scientists from institutions like Stanford University, Harvard University, and University of California, Berkeley, providing reviews of mathematical physics, differential equations, and numerical analysis. It covers a wide range of topics, including combinatorics, graph theory, and probability theory, with reviews written by experts from University of Chicago, Columbia University, and University of California, Los Angeles. The database is used by researchers from Max Planck Society, National Science Foundation, and European Research Council to stay up-to-date with the latest developments in their field, including research published in Proceedings of the National Academy of Sciences, Nature, and Science.

History

The history of Zentralblatt MATH dates back to 1931, when it was founded by the German Mathematical Society, with support from David Hilbert, Emmy Noether, and other prominent mathematicians from University of Göttingen and University of Berlin. Initially, it was published in print form, with reviews written by experts from University of Paris, University of Rome, and University of Moscow. Over the years, the database has undergone significant changes, including the introduction of an online version in 1999, which has made it more accessible to researchers from Chinese Academy of Sciences, Indian Institute of Technology, and University of Tokyo. Today, Zentralblatt MATH is one of the most comprehensive and authoritative databases of mathematics reviews, with contributions from International Mathematical Union, European Mathematical Society, and American Mathematical Society.

Content and Coverage

Zentralblatt MATH contains reviews of articles from over 3,000 mathematics journals, including Acta Mathematica, Journal of Differential Equations, and Mathematische Annalen, published by Birkhäuser, Wiley-VCH, and Oxford University Press. The database covers a wide range of topics, including algebra, geometry, and topology, with reviews written by experts from University of Michigan, University of Illinois at Urbana-Champaign, and University of Wisconsin-Madison. It also includes reviews of conference proceedings, monographs, and textbooks from Cambridge University Press, Springer Science+Business Media, and Elsevier, making it an essential resource for researchers from NASA, CERN, and Los Alamos National Laboratory.

Editorial Process

The editorial process of Zentralblatt MATH involves a team of expert mathematicians from University of California, San Diego, University of Washington, and University of Texas at Austin, who review and evaluate articles from mathematics journals and conference proceedings. The reviews are written in English, German, or French, and are designed to provide a concise and informative summary of the article's content, including research published in Journal of Mathematical Physics, Communications in Mathematical Physics, and Physical Review Letters. The database is updated regularly, with new reviews added daily, and is available online through a subscription-based service, with access provided by JSTOR, EBSCO Information Services, and ProQuest.

Impact and Influence

Zentralblatt MATH has had a significant impact on the mathematics community, providing a valuable resource for researchers from MIT, Caltech, and University of Cambridge to stay up-to-date with the latest developments in their field. It has also played a crucial role in the development of new areas of mathematics, such as chaos theory and fractal geometry, with research published in Journal of Mathematical Biology, Mathematical Biosciences, and SIAM Journal on Applied Mathematics. The database has been widely cited in mathematics literature, including articles published in Proceedings of the London Mathematical Society, Journal of the London Mathematical Society, and Mathematical Proceedings of the Cambridge Philosophical Society, and has been recognized as one of the most authoritative and comprehensive databases of mathematics reviews, with awards from International Mathematical Union and European Mathematical Society.

Digital Availability

Zentralblatt MATH is available online through a subscription-based service, with access provided by FIZ Karlsruhe, EBSCO Information Services, and ProQuest. The database can be searched using a variety of criteria, including author, title, and keyword, and provides links to the full-text of reviewed articles, including those published in Journal of Algebra, Journal of Number Theory, and Mathematical Computing. The online version of Zentralblatt MATH is updated regularly, with new reviews added daily, and is available to researchers from University of Oxford, University of Cambridge, and Imperial College London through institutional subscriptions, with support from National Science Foundation, European Research Council, and Wellcome Trust.