Nineteenth-Century Mathematics in the Mirror of Its Literature: A Quantitative Approach

Wagner-Döbler, Roland; Berg, Jan

doi:10.1006/hmat.1996.0029

Cited by 15 publications

(6 citation statements)

References 8 publications

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“…His influence on the whole discussion of this topic in the years after 1963 is demonstrated in a review article by Furner (2003) (Of course, 40 years ago the available data sets providing the necessary basis for a discussion of this growth were much more limited than they are today.) There are also some earlier studies (May 1966) (Wagner-Döbler and Berg 1996;Wagner-Döbler 1997b) that are restricted to mathematics. With the exception of May, however, these authors did not apply special mathematical growth models.…”

Section: Growth Ratesmentioning

confidence: 94%

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Mathematics 1868–2008: a bibliometric analysis

Behrens¹,

Luksch

2010

Scientometrics

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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 of a small number of journals. The productivity of authors follows two inverse power laws of the Lotka form with different parameters, one in the range of low productivity and the other in the range of high productivity. The average productivity has changed only slightly since the year 1870. As far as multiple authorship is concerned the distribution of the number of authors per publication can be described quite well by a Gamma Distribution. The average number of authors per publication has been increasing steadily; while it was close to 1 up to the first quarter of the last century it has now reached a value of 2 in the last few years. This means that the percentage of single-authored papers has fallen from over 95% in the years before 1930 to about 30% today.

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Section: Growth Ratesmentioning

confidence: 94%

“…His studies covered either special topics (see for example (Wagner-Döbler and Berg 1995;Wagner-Döbler 1995, 1996, 1997a), or a specific publication time period An extensive study of mathematics publications during the 19th century was performed by Wagner-Döbler and Berg (1996). This study was…”

Section: Introductionmentioning

confidence: 99%

Mathematics 1868–2008: a bibliometric analysis

Behrens¹,

Luksch

2010

Scientometrics

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“…Attempts have been made in the scholarly literature to highlight motivational factors in specific areas such as Medicine (Masic, 2013), Chemistry (Kato & Ando, 2013), Physics (Zheng, Yuan, Pan, & Zhao, 2011), Agricultural Sciences (Dinu, Schileru, & Atanase, 2012;Nederhof, Meijer, Moed, & Vanraan, 1993), Mathematics (Bensman, Smolinsky, & Pudovkin, 2010;Wagner-Dobler & Berg, 1996), Environmental Sciences and Ecology (Dragos & Dragos, 2013) and Engineering (Jesiek et al, 2011). Using a Poisson model and data from important international conferences, Gantman (2009) assesses the effect of economic and non-economic variables on scientific output in the field of management.…”

Section: Introductionmentioning

confidence: 99%

Scientometric approach of productivity in scholarly economics and business

Dragoș

Dinu

Pop

et al. 2014

Economic Research-Ekonomska Istraživanja

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Some scientometric studies attempt to explain the factors affecting a country's scientific output, which is usually measured by proxy variables such as the number of articles and citations in internationally-renowned journals. This paper highlights the main drivers for scientific output in economics and business, namely, financing of education and research, population size, the number of scholarly journals and English as the official language. We use multiple OLS regressions and data provided by Web of Knowledge and the World Bank covering 56 nations. The study also highlights the relationship between scientific output and the efficiency in using the research funding. The rankings of sample countries show that there is a learning process at national level, the output being doubled by efficiency.

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“…In this decade, the publication activity of differential equations increased markedly. 13 Scientometrics 39 (1997) The standard case will be, as in economic income distributions, that the less prolific sources contribute less and less in relative terms. Thus, the Groos droop in a scientometric Bradford graph will grow continuously in the course of the development of an expanding subject literature.…”

Section: Further Examples Of the Phase-dependence Of The Bradford Dismentioning

confidence: 99%

“…The mathematical index of the Catalogue of Scientific Papers was prepared for computer-assisted analysis at the Institute for Philosophy of the Technical University in Munich. 13 The Catalogue comprises scientific papers of all disciplines in the 19th century, approximately 787,000 papers written by 115,000 authors -a bibliographical mammut enterprise. Pure Mathematics consists of 5,500 authors with 36,100 papers.…”

Section: -1990 and In Mathematics 1801-1900mentioning

confidence: 99%

Time dependencies of Bradford distributions: Structures of journal output in 20th-century logic and 19th-century mathematics

Wagner-Döbler

1997

Scientometrics

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Time dependencies of Bradford distributions are investigated for 19th-century mathematics and for 20th-century logic. To facilitate comparisons, for the representation of empirical Bradford distributions "Pareto's law" and Lorenz diagrams are used. It is shown that the character of a Bradford distribution (including the "core zone" and the "Groos droop") depends on the stage in the development of a scientific field and that it varies with the time-span considered.

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Nineteenth-Century Mathematics in the Mirror of Its Literature: A Quantitative Approach

Cited by 15 publications

References 8 publications

Mathematics 1868–2008: a bibliometric analysis

Mathematics 1868–2008: a bibliometric analysis

Scientometric approach of productivity in scholarly economics and business

Time dependencies of Bradford distributions: Structures of journal output in 20th-century logic and 19th-century mathematics

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