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2010
DOI: 10.1007/s11192-010-0249-x
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Mathematics 1868–2008: a bibliometric analysis

Abstract: This paper presents a bibliometric analysis of the literature published in the field of mathematics from 1868 to date. The data originate from the Zentralblatt MATH database. The increase rate of publications per year reflects the growth of the mathematics community and both can well be represented by exponential or linear functions, the latter especially after the Second World War. The distribution of publications follows Bradford 0 s law but in contrast to many other disciplines there is no strong domination… Show more

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Cited by 32 publications
(22 citation statements)
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“…Because of the very well documented vast increase in the overall absolute number of psychological publications in the 20th century (which can be modeled by way of exponential smoothing [9]), the absolute frequencies found for professional comments and replies must be relativized by the total number of publications documented in the database for each year of publication. This is similar to findings in the other sciences: Behrens and Luksch [10], for example, showed a similar increase in literature published in the field of mathematics between 1868 and 2010, which can be modeled by exponential or linear functions. These increased rates reflect the growth of the research communities and resources and have been-in addition-strongly intensified in the last decades by digitalization technologies that enable more efficient submission, communication, and publication systems via the Internet, and shorter production times.…”
Section: Data Handlingsupporting
confidence: 87%
“…Because of the very well documented vast increase in the overall absolute number of psychological publications in the 20th century (which can be modeled by way of exponential smoothing [9]), the absolute frequencies found for professional comments and replies must be relativized by the total number of publications documented in the database for each year of publication. This is similar to findings in the other sciences: Behrens and Luksch [10], for example, showed a similar increase in literature published in the field of mathematics between 1868 and 2010, which can be modeled by exponential or linear functions. These increased rates reflect the growth of the research communities and resources and have been-in addition-strongly intensified in the last decades by digitalization technologies that enable more efficient submission, communication, and publication systems via the Internet, and shorter production times.…”
Section: Data Handlingsupporting
confidence: 87%
“…Some subfields of mathematics may gain citations from their relationship to a higher citation field engaging in more generous citation practices. Citation counting in mathematics can pick out only certain subdisciplines and neglect others in a way that does not match any standard that mathematicians would recognize (Behrens and Luksch, 2011).…”
Section: Mathematicians and Citationsmentioning
confidence: 99%
“…However, bibliometric data can be used prospectively too. The objective of such applications refers not only to the description of the past, but to the forecasting of future research and publication trends as well (for mathematics see, e. g., Behrens and Luksch 2011). These future trends are estimated mathematically from trends in past publication activities.…”
Section: Introductionmentioning
confidence: 99%