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Article . 1968 . Peer-reviewed
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Growth and Quality of the Mathematical Literature

Growth and quality of the mathematical literature
Authors: May, K. O.;

Growth and Quality of the Mathematical Literature

Abstract

Starting from the assertion that the growth of the entire mathematical literature is following very closely an annual rate of increase of 2,5 \% (by titles) -- in the last years, at least, this rate has been considerably higher (the reviewer) -- the author gives a quantitative and qualitative analysis of the development of the literature of the theory of determinants. Classifying the papers till 1920 into six categories (New ideas and results, Applications, Systematization and history, Texts and education, Duplications, Trivia) the author estimates that ``all the significant information about determinants, including the main lines of the history of its ideas, is contained in less than 10 \% of the titles'' and that ``the publications containing significant new ideas, results, applications, and systematizations together with high-quality texts make up less than a third of the total literature''. For a special subtopic (derivative of a determinant) duplications of results and embodiment of results in textbooks are analysed.

Keywords

quality, growth, determinants, mathematical literature, Bibliographic studies

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    popularity
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    influence
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
23
Average
Top 1%
Average
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