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Topic · Theoretical Computer Science

History and Theory of Mathematics

History and Theory of Mathematics is a research topic within Theoretical Computer Science. Science Explorer counts 34k research works in it since 1950. 13.7% of them reached the world's top 10% most cited for their field and year.

This cluster of papers explores the use of history in mathematics education, the evolution of mathematical concepts, the teaching methods involving historical sources, and the cultural transmission of mathematical traditions. It also delves into the philosophical aspects of mathematics and the contributions of ancient mathematicians to the field. The papers discuss the impact of historical context on mathematical pedagogy and highlight the importance of understanding mathematical evolution.

  • Mathematics Education
  • Historical Sources
  • Mathematical Concepts
  • Teaching Methods
  • Cultural Transmission
  • Philosophy of Mathematics
  • Ancient Mathematicians
  • Mathematical Traditions
  • Mathematical Evolution
  • Mathematical Pedagogy
Research works
34k
fractional, since 1950
In the world top 10%
4.7k
per year above
Top-10% rate
13.7%
share of its works in the world top 10%
Growth, 2013–17 → 2018–22
+4%
the tick is no change

Which countries lead History and Theory of Mathematics research?

By volume, the United States and Germany publish the most (832 and 509 works in 2022–2025).

By volume, 2022–2025

  1. 1 United States 832 works
  2. 2 Germany 509 works
  3. 3 France 326 works
  4. 4 United Kingdom 214 works
  5. 5 Italy 176 works
  6. 6 India 133 works
  7. 7 Brazil 122 works
  8. 8 Canada 119 works
  9. 9 China 110 works
  10. 10 Russia 100 works

How concentrated that is

The same countries as shares of everything the list above accounts for. A node where two countries do two thirds of the work and one spread evenly across twelve read alike as a ranking and not at all alike here.

United States: 31.5%Germany: 19.3%France: 12.3%United Kingdom: 8.1%6 others listed: 28.8%31%largest
United States832 · 31.5%Germany509 · 19.3%France326 · 12.3%United Kingdom214 · 8.1%6 others listed760 · 28.8%

Shares of the rows listed above, not of the whole node.

Which institutions lead History and Theory of Mathematics research?

By volume in 2022–2025, University of Cambridge publishes the most History and Theory of Mathematics research, followed by Centre National de la Recherche Scientifique and University of Oxford.

By volume, 2022–2025

  1. 1 University of CambridgeUnited Kingdom 35 works
  2. 2 Centre National de la Recherche ScientifiqueFrance 31 works
  3. 3 University of OxfordUnited Kingdom 29 works
  4. 4 Technical University of MunichGermany 27 works
  5. 5 Schön Klinik NeustadtGermany 24 works
  6. 6 University of TorontoCanada 23 works
  7. 7 Sapienza University of RomeItaly 21 works
  8. 8 ETH ZurichSwitzerland 19 works
  9. 9 Klinikum LeverkusenGermany 18 works
  10. 10 Freie Universität BerlinGermany 16 works

Who are the leading researchers in History and Theory of Mathematics?

The most-cited researchers publishing on History and Theory of Mathematics include Kenneth J. Arrow.

  1. 1 Kenneth J. Arrow United States 5.4k citations

Ranked by citations received across their whole record, among researchers with at least three works on this topic.

Where is History and Theory of Mathematics research done?

The largest centres of History and Theory of Mathematics research in 2022–2025 are Paris (France), Munich (Germany), New York (United States) and Moscow (Russia). Among places with at least 20 works in it, it is an unusually large share of all research in Neustadt and Leverkusen.

Largest cities, 2022–2025

  1. 1 Paris France 126 works
  2. 2 Munich Germany 48 works
  3. 3 New York United States 42 works
  4. 4 Moscow Russia 41 works
  5. 5 Berlin Germany 36 works
  6. 6 Rome Italy 36 works
  7. 7 Cambridge United Kingdom 36 works
  8. 8 Beijing China 35 works
  9. 9 Toronto Canada 32 works
  10. 10 London United Kingdom 31 works

Where it is the local speciality

  1. NeustadtDE · 23.7 works333×
  2. LeverkusenDE · 26.4 works85×
← less than its size predicts1×more →

Location quotient: how much more of its research is in History and Theory of Mathematics than the world average.

See History and Theory of Mathematics on the map

Where is the best place to study History and Theory of Mathematics?

Among universities, judged by research, Johannes Gutenberg University Mainz, University of Wuppertal and Université Paris Cité score highest, combining excellence, specialisation, size, growth and international reach. Research strength is one signal when choosing where to study; it does not measure teaching.

0%10%20%30%mean 16.79%fractional works in this node (log) →share in the world top 10% →Johannes Gutenberg University Mainz: 14, 22.4%University of Wuppertal: 12, 18.2%Université Paris Cité: 14, 20.7%University of Vienna: 14, 25.0%University of Cambridge: 35, 6.7%Technical University of Munich: 27, 11.3%ETH Zurich: 19, 16.3%Weizmann Institute of Science: 11, 18.6%KU Leuven: 13, 19.8%University of Oxford: 29, 8.9%University of ViennaJohannes Gutenberg U…Université Paris CitéUniversity of Wupper…
above the meannear itbelow it

One dot per university in the table below. The upper left is the interesting corner: small places doing unusually strong work.

#UniversityScoreTop 10%SpecialisationWorksGrowth
1 Johannes Gutenberg University MainzGermany 68.822.4%13.5×14 +211.0%
2 University of WuppertalGermany 61.018.2%24.6×12 +351.3%
3 Université Paris CitéFrance 56.320.7%9.8×14 -16.4%
4 University of ViennaAustria 55.825.0%8.3×14 +14.6%
5 University of CambridgeUnited Kingdom 55.66.7%9.4×35 -53.2%
6 Technical University of MunichGermany 55.611.3%9.9×27 -47.4%
7 ETH ZurichSwitzerland 52.316.3%7.9×19 -24.2%
8 Weizmann Institute of ScienceIsrael 51.918.6%21.5×11 -15.0%
9 KU LeuvenBelgium 50.019.8%4.3×13 +165.2%
10 University of OxfordUnited Kingdom 49.98.9%6.5×29 +19.2%

Universities only. Score blends excellence (30%), specialisation (25%), size (20%), growth (15%) and international reach (10%), 2015–2022; growth compares 2010–14 with 2015–19.

Is History and Theory of Mathematics research growing?

Output in 2018–2022 was 4% higher than in 2013–2017, peaking in 2018. The fastest-growing topics are History and Theory of Mathematics.

19801990200020102020
grewheldshrank

The same series as a ribbon — one cell per year, darker for more. The line above answers how much; this answers when.

Which topics inside it are moving

Growth and decline on one axis around a shared zero. Two lists side by side hide the thing that matters: whether the growth dwarfs the decline, or the other way round.