Science Explorer Interactive view Map

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 Cambridge United Kingdom 35 works
  2. 2 Centre National de la Recherche Scientifique France 31 works
  3. 3 University of Oxford United Kingdom 29 works
  4. 4 Technical University of Munich Germany 27 works
  5. 5 Schön Klinik Neustadt Germany 24 works
  6. 6 University of Toronto Canada 23 works
  7. 7 Sapienza University of Rome Italy 21 works
  8. 8 ETH Zurich Switzerland 19 works
  9. 9 Klinikum Leverkusen Germany 18 works
  10. 10 Freie Universität Berlin Germany 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 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 predictsmore →

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
1Johannes Gutenberg University Mainz Germany 68.822.4%13.5×14 +211.0%
2University of Wuppertal Germany 61.018.2%24.6×12 +351.3%
3Université Paris Cité France 56.320.7%9.8×14 -16.4%
4University of Vienna Austria 55.825.0%8.3×14 +14.6%
5University of Cambridge United Kingdom 55.66.7%9.4×35 -53.2%
6Technical University of Munich Germany 55.611.3%9.9×27 -47.4%
7ETH Zurich Switzerland 52.316.3%7.9×19 -24.2%
8Weizmann Institute of Science Israel 51.918.6%21.5×11 -15.0%
9KU Leuven Belgium 50.019.8%4.3×13 +165.2%
10University of Oxford United 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.