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Top Countries in Applied Mathematics Research

United States ranks first in 2022-now, followed by China and Germany, out of 47 ranked countries.

Quality score: the square root of excellence (the share of works in the world top 10% against what the place's own topics predict, on English-language articles and reviews) times the square root of the journal factor (its papers in the Nature Index's selective journals against what its topics predict), times output to the power 0.3 times breadth (how much of the selected area it works in) to the power 0.25. Floor: 100 fractional works in this field.

Ranked by research quality, 2022-now

#CountryScoreTop-10% rateWorksCitationsAll time
1United States 100.0 10.7% 4.7k 14k#1
2China 82.0 10.9% 9.6k 28k#2
3Germany 71.5 11.5% 1.5k 4.4k#3
4United Kingdom 64.0 13.1% 800 2.8k#5
5France 58.2 8.1% 1.7k 4.3k#4
6Italy 53.5 14.0% 1.6k 5.6k#8
7Spain 49.5 11.8% 978 2.8k#6
8Switzerland 46.0 14.7% 216 911#7
9Canada 42.9 9.7% 585 1.4k#9
10South Korea 40.2 11.8% 742 2.2k#13
11India 37.7 10.3% 3.2k 7.6k#17
12Austria 35.5 13.3% 293 829#12
13Australia 33.4 14.5% 366 1.2k#10
14Israel 31.5 10.0% 277 654#11
15Finland 29.7 15.7% 208 675#22
16Japan 28.0 5.6% 1.2k 2k#15
17Sweden 26.4 8.8% 220 522#19
18Saudi Arabia 24.9 16.4% 1.1k 4.7k#18
19Belgium 23.5 10.3% 210 513#20
20Taiwan 22.2 15.4% 294 1.1k#26
21Poland 20.9 8.5% 656 1.6k#23
22Czechia 19.7 9.1% 271 647#24
23Portugal 18.6 10.2% 239 585#27
24Hungary 17.5 10.3% 208 571#35
25Indonesia 16.4 8.4% 14k 15k#32
26Russia 15.4 4.4% 2.8k 4.3k#28
27Brazil 14.4 5.7% 942 1.8k#29
28Ukraine 13.5 9.0% 648 1.2k#49
29Türkiye 12.5 11.7% 1.5k 3.9k#36
30Romania 11.7 12.7% 501 1.6k#37
31Philippines 10.8 14.3% 259 346#44
32Thailand 10.0 11.8% 216 629#45
33Malaysia 9.2 17.7% 324 768#51
34Vietnam 8.4 7.9% 492 982#43
35Pakistan 7.7 19.8% 526 2.5k#42
36Mexico 6.9 7.7% 282 575#46
37Serbia 6.2 11.2% 207 563#48
38Jordan 5.5 19.8% 253 1.1k#57
39Iran 4.8 10.0% 739 1.9k#47
40Morocco 4.2 8.9% 740 1.7k#54
41Uzbekistan 3.5 9.2% 362 774#61
42Kazakhstan 2.9 7.0% 289 449#55
43Egypt 2.3 13.1% 347 1.3k#56
44Algeria 1.7 8.3% 626 1.4k#60
45Tunisia 112.9 8.5% 401 916#62
46Nigeria 55.9 7.3% 255 366#66
47Iraq 0.0 9.9% 322 818#67

countries ranked worldwide in Applied Mathematics (47). rank on the quality score within the stated pool. The score track runs 0 to 100; the rate track carries no average mark, because the average differs by field (about 6% in Dentistry, 21% in Economics).

How spread out this pool is

Every row above on one axis, one tick each. Right is a higher score. A field where the top few are far clear of everyone and one that runs down evenly look identical as a table.

0 to 5: 9 places5 to 10: 7 places10 to 15: 5 places15 to 20: 5 places20 to 25: 4 places25 to 30: 3 places30 to 35: 2 places35 to 40: 2 places40 to 45: 2 places45 to 50: 2 places50 to 55: 1 places55 to 60: 1 places60 to 65: 1 places65 to 70: 0 places70 to 75: 1 places75 to 80: 0 places80 to 85: 1 places85 to 90: 0 places90 to 95: 0 places95 to 100: 1 places0100

One bar per band of score, counting the rows on this page.

Ranked by volume, 2022-now

  1. 1 Indonesia 15k works
  2. 2 China 11k works
  3. 3 United States 5.6k works
  4. 4 India 3.7k works
  5. 5 Russia 3.1k works
  6. 6 France 1.9k works
  7. 7 Italy 1.9k works
  8. 8 Germany 1.7k works
  9. 9 Türkiye 1.6k works
  10. 10 Japan 1.4k works
  11. 11 Saudi Arabia 1.3k works
  12. 12 Spain 1.1k works