## Introduction

This report provides a comprehensive analytics report of the publisher **American Mathematical Society (AMS)** including basic bibliometric information, citation data, impact metrics, top journals, publication keywords, etc., over recent years. The Crossref database (up to the end of 2021) processed by ScienceGate has been used for this report as the source of data.

**American Mathematical Society (AMS)** has published 133332 documents so far, receiving a total of 921887 citations. These numbers are equal to 0.11% and 0.08% of the total documents
and citations in the scientific community, respectively. **American Mathematical Society (AMS)** has a score of 6.91 as a number of citations per document based on all recorded data. There are different types of documents published by **American Mathematical Society (AMS)**.
In this regard, Journal Article, Chapter, Other, Book, Posted Content, Report, and Monograph a with the total document number of 85166, 22221, 22320, 1222, 345, 1, and 2057 have the largest share, respectively. These numbers are equal to 63.88%, 16.67%, 16.74%, 0.92%, 0.26%, 0.00%, and 1.54%
of the total documents published in **American Mathematical Society (AMS)** so far, respectively. **American Mathematical Society (AMS)** has been an active publisher from 1891-2021.

## Basic Bibliometric Information

This section provides the bibliometrics data of **American Mathematical Society (AMS)** over the last 11 years, including the number of published documents, total citations, citations per document, and scaled number of citations per document by year. Share of **American Mathematical Society (AMS)**
documents and citations among all published scientific documents are also presented here. **American Mathematical Society (AMS)** has the highest annual number of publications in 2012, with 2800
published documents. Most annual citations are also received in 2010, with 12790 citations. The highest citations per document’s scores, scaled by the number
of years ahead, are associated with 2020, with scores of 0.15.

Year | Documents | Citations | Citations/Documents | Average Citations/Documents | Documents Share | Citations Share |
---|---|---|---|---|---|---|

2010 | 2640 | 12790 | 4.8447 | 0.4404 | 0.0007 | 0.0003 |

2011 | 2527 | 10798 | 4.2731 | 0.4273 | 0.0007 | 0.0003 |

2012 | 2800 | 13681 | 4.8861 | 0.5429 | 0.0007 | 0.0004 |

2013 | 1983 | 7096 | 3.5784 | 0.4473 | 0.0005 | 0.0002 |

2014 | 2576 | 8909 | 3.4585 | 0.4941 | 0.0006 | 0.0003 |

2015 | 2713 | 7968 | 2.9370 | 0.4895 | 0.0006 | 0.0003 |

2016 | 2187 | 4857 | 2.2209 | 0.4442 | 0.0004 | 0.0002 |

2017 | 2558 | 4171 | 1.6306 | 0.4076 | 0.0005 | 0.0002 |

2018 | 2761 | 2986 | 1.0815 | 0.3605 | 0.0005 | 0.0002 |

2019 | 2563 | 1459 | 0.5693 | 0.2846 | 0.0004 | 0.0001 |

2020 | 2026 | 309 | 0.1525 | 0.1525 | 0.0003 | 0.0001 |

## Document Types

There are different types of documents published by publishers. In this section, the yearly publication data of **American Mathematical Society (AMS)** are presented by document type, including Journal Articles, Chapters, Monographs, Books, Posted Contents, and Reports.

The number of published documents by **American Mathematical Society (AMS)** are 85166, 22221, 2057, 1222, 345, and 1 for Journal Articles, Chapters, Monographs, Books, Posted Contents, and Reports, respectively. These numbers are equal to 0.09%, 0.14%, 0.35%, 0.14%, 0.04%, and 0.00% of the whole published
Journal Articles, Chapters, Monographs, Books, Posted Contents, and Reports in the database so far, respectively.

The number of received citations by Journal Articles, Chapters, Monographs, Books, Posted Contents, and Reports of **American Mathematical Society (AMS)** are 733625, 14992, 73432, 2726, 0, and 4, respectively. These numbers are equal to 0.07%, 0.09%, 1.32%, 0.04%, 0.00%, and 0.00% of the citations
received by whole Journal Articles, Chapters, Monographs, Books, Posted Contents, and Reports of the database so far, respectively.

The h-index value for published Journal Articles, Chapters, Monographs, Books, Posted Contents, and Reports by **American Mathematical Society (AMS)** are 236, 46, 134, 20, 0, and 1, respectively. The corresponding values for the whole data of the database are 3201, 588, 760, 793, 79, and 253,
respectively.

The g-index value for published Journal Articles, Chapters, Monographs, Books, Posted Contents, and Reports by **American Mathematical Society (AMS)** are 30, 10, 22, 8, 0, and 1, respectively. The corresponding values for the whole data of the database are 129, 48, 60, 60, 14, and 29,
respectively.

The score of citations per document for published Journal Articles, Chapters, Monographs, Books, Posted Contents, and Reports by **American Mathematical Society (AMS)** are 8.614, 0.675, 35.699, 2.231, 0.000, and 4.000, respectively. The corresponding values for the whole data of the database are 11.521, 1.016, 9.566, 8.593, 0.197, and 1.416,
respectively.

The highest number of annually published Journal Articles, Chapters, Monographs, Books, Posted Contents, and Reports by **American Mathematical Society (AMS)** are 1564, 1035, 84, 32, 0, and 1, respectively. The corresponding year of maximum publication for Journal Articles, Chapters, Monographs, Books, Posted Contents, and Reports
are 2012, 2010, 2010, 2016, 2020, and 2018, respectively.

The highest number of annual received citations by Journal Articles, Chapters, Monographs, Books, Posted Contents, and Reports published in **American Mathematical Society (AMS)** are 10727, 317, 2606, 127, 0, and 4, respectively. The corresponding years of maximum received citations for Journal Articles, Chapters, Monographs, Books, Posted Contents, and Reports
are 2012, 2011, 2010, 2012, 2020, and 2018, respectively.

The highest values of citations per number of document for Journal Articles, Chapters, Monographs, Books, Posted Contents, and Reports published in **American Mathematical Society (AMS)** are 8.33, 0.36, 31.02, 4.23, 0.00, and 4.00, respectively. The corresponding years of maximum values
of citations per document for Journal Articles, Chapters, Monographs, Books, Posted Contents, and Reports are 2010, 2011, 2010, 2012, 0, and 2018, respectively.

## Impact Metrics

Various metrics and indicators are used to evaluate the impact and quality of publishers and journals. Here, h-index, g-index, and i-index are selected as impact evaluation metrics of the publisher **American Mathematical Society (AMS)**.

### H-index

H-index indicates the number of articles published by a journal/publisher, h, that have been cited at least h times. h5-index and h10-index are the h-index for papers of a publishers/journals published in the last 5 and 10 years, respectively. h-index,
h10-index, and h5-index of the documents published by **American Mathematical Society (AMS)**, are 263, 61, and 30, respectively. The corresponding values for the whole data of the database are 3269, 1489, and 795, respectively.

Metric | American Mathematical Society (AMS) | All Publishers |
---|---|---|

h-index | 263 | 3269 |

h10-index | 61 | 1489 |

h5-index | 30 | 795 |

### G-index

The g-index indicator is the first g papers of a publisher/journal (sorted by the highest to the lowest number of citations) that have cumulatively received at least g^2 citations. Again, g5-index and g10-index are the g-index for papers of a publishers/journals
published in the last 5 and 10 years, respectively. G-index, g10-index, and g5-index of the documents published by **American Mathematical Society (AMS)** are 31, 13, and 8, respectively. The corresponding values for the whole data of the database are 131, 80, and 55,
respectively.

Metric | American Mathematical Society (AMS) | All Publishers |
---|---|---|

g-index | 31 | 131 |

g10-index | 13 | 80 |

g5-index | 8 | 55 |

### I-n index

I-n index shows the number of publications of a publisher/journal with at least n citations. Read another post here for more detailed information
on different research impact metrics. It is to be noted that, i10-index, i25-index, i50-index, i100-index, i250-index, i500-index, i1000-index, i2500-index, i5000-index, and i10000-index of the documents published by **American Mathematical Society (AMS)**, are 19085, 7468, 3214, 1227, 277, 93, 30, 5, 2, and 0, respectively. The corresponding values for the whole data of the database are
21796896, 10617845, 4822066, 1785083, 390499, 114230, 31648, 5505, 1423, and 355, respectively.

Metric | American Mathematical Society (AMS) | All Publishers |
---|---|---|

i10-index | 19085 | 21796896 |

i25-index | 7468 | 10617845 |

i50-index | 3214 | 4822066 |

i100-index | 1227 | 1785083 |

i250-index | 277 | 390499 |

i500-index | 93 | 114230 |

i1000-index | 30 | 31648 |

i2500-index | 5 | 5505 |

i5000-index | 2 | 1423 |

i10000-index | 0 | 355 |

## Top Journals

This section provides the basic bibliometrics data of the **American Mathematical Society (AMS)** top journals, including the number of published documents, total citations, and citations per document. Share of documents and citations of each journal among all published documents
by **American Mathematical Society (AMS)** is also presented here. In the following tag cloud chart, top journals are displayed based on the largest number of published documents.

The Top 5 journals of **American Mathematical Society (AMS)** based on the number of published documents are Proceedings of the American Mathematical Society, Transactions of the American Mathematical Society, Bulletin of the American Mathematical Society, Mathematics of Computation, and Quarterly of Applied Mathematics. The numbers of documents published so far by these top 5 journals are 37139, 22210, 14566, 10800, and 3637, respectively.
These numbers are equal to 27.855%, 16.658%, 10.925%, 8.100%, and 2.728% of the total documents published by **American Mathematical Society (AMS)** so far, respectively.

Concerning the number of received citations, the top 5 journals of **American Mathematical Society (AMS)** are Transactions of the American Mathematical Society, Proceedings of the American Mathematical Society, Mathematics of Computation, Bulletin of the American Mathematical Society, and Quarterly of Applied Mathematics. The total number of citations received so far by these top 5 journals are 22210, 37139, 10800, 14566, and 3637,
respectively. These numbers are equal to 2.409%, 4.029%, 1.172%, 1.580%, and 0.395% of the total citations received by **American Mathematical Society (AMS)** publications so far, respectively.

Regarding the number of citations received per document, the top 5 journals of **American Mathematical Society (AMS)** are Journal of the American Mathematical Society, Quarterly of Applied Mathematics, Mathematics of Computation, Bulletin of the American Mathematical Society, and Memoirs of the American Mathematical Society. The numbers of citations received per published document so far by these top 5 journals are 30.241, 18.436, 12.695, 12.210, and 11.356,
respectively.

## Top Keywords

The Most used keywords are of particular importance for reviewing a publisher. This section provides detailed information about basic bibliometrics data of top used keywords in **American Mathematical Society (AMS)**. The metrics used here are the number of documents, citations
and citations per document. Share of documents and citations of each keyword among whole published documents is also presented here. In the following tag cloud chart, top keywords are displayed based on the largest number of published documents.

According to the number of published documents, the top 10 keywords of the publisher **American Mathematical Society (AMS)** are differential equations, banach spaces, boundary value, lie algebras, partial differential, second order, partial differential equations, lie groups, boundary value problems, and fixed point, respectively. The number of published documents in which the mentioned 10 keywords are used are, 1871, 655, 634, 579, 571, 567, 480, 480, 470, and 440,
respectively.

Based on the number of received citations, the top 10 keywords of the publisher **American Mathematical Society (AMS)** are differential equations, finite element, boundary value, second order, partial differential, partial differential equations, fourier series, boundary value problems, banach spaces, and navier stokes, respectively. The number of citations received by the documents in which the mentioned 10 keywords are
used are, 1871, 412, 634, 567, 571, 480, 290, 470, 655, and 223, respectively.

Concerning the score of received citations per document, the top 10 keywords of the publisher **American Mathematical Society (AMS)** are stokes equations, navier stokes, fourier series, finite element, boundary conditions, error estimates, the stability, partial differential equations, conservation laws, and boundary value problems, respectively. The score of citations received per document in which the mentioned
10 keywords are used are, 36.714, 31.386, 30.086, 27.971, 21.824, 20.113, 20.058, 18.446, 18.250, and 17.847, respectively.

Keyword | Documents | Documents Share | Citations | Citations Share | Citations/Documents | Active Years | Active Years For All Data |
---|---|---|---|---|---|---|---|

differential equations | 1871 | 0.0272 | 25768 | 0.0384 | 13.7723 | 1891-2020 | 1827-2020 |

banach spaces | 655 | 0.0595 | 7202 | 0.0870 | 10.9954 | 1936-2020 | 1936-2020 |

boundary value | 634 | 0.0240 | 10049 | 0.0517 | 15.8502 | 1906-2020 | 1906-2020 |

lie algebras | 579 | 0.0855 | 4263 | 0.0762 | 7.3627 | 1937-2020 | 1935-2020 |

partial differential | 571 | 0.0387 | 9347 | 0.0504 | 16.3695 | 1900-2020 | 1829-2020 |

second order | 567 | 0.0105 | 9568 | 0.0152 | 16.8748 | 1898-2020 | 1809-2020 |

partial differential equations | 480 | 0.0341 | 8854 | 0.0478 | 18.4458 | 1900-2020 | 1829-2020 |

lie groups | 480 | 0.0916 | 3502 | 0.0833 | 7.2958 | 1936-2020 | 1902-2020 |

boundary value problems | 470 | 0.0289 | 8388 | 0.0590 | 17.8468 | 1906-2020 | 1906-2020 |

fixed point | 440 | 0.0209 | 6489 | 0.0475 | 14.7477 | 1926-2020 | 1793-2020 |

analytic functions | 414 | 0.0769 | 3801 | 0.1456 | 9.1812 | 1899-2020 | 1896-2020 |

finite element | 412 | 0.0027 | 11524 | 0.0091 | 27.9709 | 1970-2020 | 1958-2020 |

dynamical systems | 386 | 0.0204 | 6125 | 0.0238 | 15.8679 | 1917-2020 | 1907-2020 |

finite groups | 358 | 0.0628 | 2563 | 0.0789 | 7.1592 | 1904-2020 | 1880-2020 |

differential operators | 346 | 0.0656 | 2131 | 0.0580 | 6.1590 | 1944-2020 | 1867-2020 |

two dimensional | 321 | 0.0020 | 2521 | 0.0010 | 7.8536 | 1909-2020 | 1878-2020 |

one dimensional | 312 | 0.0051 | 3278 | 0.0038 | 10.5064 | 1905-2020 | 1500-2020 |

abelian groups | 305 | 0.0814 | 1920 | 0.1111 | 6.2951 | 1902-2020 | 1900-2020 |

elliptic equations | 304 | 0.0494 | 3202 | 0.0526 | 10.5329 | 1954-2020 | 1952-2020 |

fourier series | 290 | 0.0449 | 8725 | 0.2198 | 30.0862 | 1923-2020 | 1888-2020 |

number theory | 284 | 0.0778 | 2366 | 0.1097 | 8.3310 | 1910-2020 | 1875-2020 |

continuous functions | 283 | 0.0683 | 1908 | 0.1102 | 6.7420 | 1905-2020 | 1893-2020 |

fixed points | 279 | 0.0393 | 3252 | 0.0554 | 11.6559 | 1903-2020 | 1769-2020 |

riemann surfaces | 276 | 0.1106 | 1267 | 0.0744 | 4.5906 | 1946-2020 | 1931-2020 |

hilbert space | 274 | 0.0401 | 4857 | 0.0844 | 17.7263 | 1922-2020 | 1922-2020 |

elliptic curves | 274 | 0.0827 | 1675 | 0.0751 | 6.1131 | 1954-2020 | 1931-2020 |

locally compact | 273 | 0.0987 | 1455 | 0.0999 | 5.3297 | 1937-2020 | 1934-2020 |

entire functions | 268 | 0.1114 | 1899 | 0.1979 | 7.0858 | 1923-2020 | 1870-2020 |

integral equations | 267 | 0.0221 | 4683 | 0.0428 | 17.5393 | 1910-2020 | 1863-2020 |

von neumann | 260 | 0.0611 | 2443 | 0.0810 | 9.3962 | 1940-2020 | 1855-2020 |

quadratic forms | 254 | 0.0815 | 1551 | 0.0752 | 6.1063 | 1907-2020 | 1854-2020 |

vector fields | 253 | 0.0497 | 1965 | 0.0438 | 7.7668 | 1946-2020 | 1924-2020 |

linear differential | 253 | 0.0530 | 2700 | 0.0852 | 10.6719 | 1891-2020 | 1827-2020 |

mathematical society | 247 | 0.1332 | 69 | 0.0870 | 0.2794 | 1894-2020 | 1852-2020 |

group actions | 243 | 0.1364 | 1117 | 0.1114 | 4.5967 | 1964-2020 | 1956-2020 |

finite dimensional | 243 | 0.0464 | 1476 | 0.0364 | 6.0741 | 1943-2020 | 1943-2020 |

new york | 241 | 0.0008 | 28 | 0.0001 | 0.1162 | 1891-2014 | 1724-2020 |

infinite dimensional | 241 | 0.0435 | 1644 | 0.0316 | 6.8216 | 1945-2020 | 1943-2020 |

conservation laws | 240 | 0.0332 | 4380 | 0.0382 | 18.2500 | 1966-2020 | 1926-2020 |

symmetric spaces | 240 | 0.1057 | 1425 | 0.1009 | 5.9375 | 1960-2020 | 1944-2020 |

boundary conditions | 239 | 0.0057 | 5216 | 0.0123 | 21.8243 | 1919-2020 | 1874-2020 |

modular forms | 239 | 0.0997 | 1150 | 0.0742 | 4.8117 | 1909-2020 | 1909-2020 |

finite fields | 237 | 0.0618 | 2411 | 0.0898 | 10.1730 | 1934-2020 | 1934-2020 |

asymptotic behavior | 234 | 0.0306 | 1714 | 0.0184 | 7.3248 | 1948-2020 | 1941-2020 |

orthogonal polynomials | 234 | 0.0590 | 3723 | 0.1009 | 15.9103 | 1931-2020 | 1931-2020 |

differential equation | 232 | 0.0118 | 1777 | 0.0115 | 7.6595 | 1902-2020 | 1822-2020 |

harmonic functions | 231 | 0.0926 | 1552 | 0.1261 | 6.7186 | 1909-2020 | 1862-2020 |

parabolic equations | 229 | 0.0438 | 2641 | 0.0578 | 11.5328 | 1956-2020 | 1948-2020 |

riemannian manifolds | 228 | 0.0642 | 1789 | 0.0532 | 7.8465 | 1945-2020 | 1935-2020 |

representation theory | 227 | 0.0969 | 1274 | 0.0573 | 5.6123 | 1940-2020 | 1937-2020 |

ordinary differential equations | 227 | 0.0256 | 3266 | 0.0410 | 14.3877 | 1891-2020 | 1834-2020 |

navier stokes | 223 | 0.0134 | 6999 | 0.0306 | 31.3857 | 1953-2020 | 1943-2020 |

american mathematical society | 222 | 0.1991 | 49 | 0.1445 | 0.2207 | 1894-2020 | 1894-2020 |

metric spaces | 216 | 0.0284 | 1578 | 0.0314 | 7.3056 | 1932-2020 | 1929-2020 |

operator algebras | 215 | 0.1477 | 1894 | 0.1251 | 8.8093 | 1947-2020 | 1947-2020 |

banach algebras | 210 | 0.0960 | 952 | 0.1156 | 4.5333 | 1945-2020 | 1945-2020 |

function spaces | 210 | 0.0754 | 1636 | 0.0974 | 7.7905 | 1945-2020 | 1941-2020 |

power series | 208 | 0.0397 | 1210 | 0.0385 | 5.8173 | 1900-2020 | 1898-2020 |

algebraic geometry | 203 | 0.1173 | 1023 | 0.0549 | 5.0394 | 1929-2020 | 1825-2020 |

harmonic analysis | 202 | 0.0477 | 1970 | 0.0448 | 9.7525 | 1933-2020 | 1878-2020 |

hopf algebras | 196 | 0.1144 | 2192 | 0.1404 | 11.1837 | 1960-2020 | 1960-2020 |

vector bundles | 196 | 0.0913 | 1251 | 0.0949 | 6.3827 | 1959-2020 | 1955-2020 |

difference equations | 195 | 0.0269 | 1959 | 0.0341 | 10.0462 | 1904-2020 | 1881-2020 |

mean curvature | 195 | 0.0594 | 1282 | 0.0458 | 6.5744 | 1940-2020 | 1886-2020 |

number fields | 193 | 0.0873 | 732 | 0.0896 | 3.7927 | 1933-2020 | 1901-2020 |

continued fractions | 192 | 0.0829 | 916 | 0.0856 | 4.7708 | 1901-2020 | 1852-2020 |

higher order | 189 | 0.0050 | 1390 | 0.0031 | 7.3545 | 1935-2020 | 1844-2020 |

periodic solutions | 187 | 0.0209 | 1839 | 0.0254 | 9.8342 | 1905-2020 | 1902-2020 |

minimal surfaces | 187 | 0.1023 | 883 | 0.0545 | 4.7219 | 1918-2020 | 1898-2020 |

schrödinger operators | 187 | 0.0867 | 1266 | 0.0605 | 6.7701 | 1967-2020 | 1967-2020 |

schrodinger operators | 187 | 0.0873 | 1266 | 0.0607 | 6.7701 | 1967-2020 | 1967-2020 |

banach space | 182 | 0.0372 | 2204 | 0.0774 | 12.1099 | 1935-2020 | 1935-2020 |

the real | 181 | 0.0036 | 1476 | 0.0058 | 8.1547 | 1902-2020 | 1705-2020 |

compact groups | 180 | 0.1015 | 741 | 0.0542 | 4.1167 | 1943-2020 | 1936-2020 |

wave equation | 179 | 0.0163 | 1587 | 0.0130 | 8.8659 | 1918-2020 | 1918-2020 |

calculus of variations | 176 | 0.0901 | 1407 | 0.0601 | 7.9943 | 1901-2019 | 1824-2020 |

first order | 176 | 0.0058 | 972 | 0.0030 | 5.5227 | 1892-2020 | 1816-2020 |

c algebras | 199 | 0.0702 | 1190 | 0.0613 | 5.9799 | 1964-2020 | 1955-2020 |

k theory | 174 | 0.0794 | 627 | 0.0375 | 3.6034 | 1966-2020 | 1964-2020 |

differential geometry | 173 | 0.0623 | 1121 | 0.0502 | 6.4798 | 1906-2020 | 1906-2020 |

spectral theory | 172 | 0.0951 | 1214 | 0.0704 | 7.0581 | 1943-2020 | 1924-2020 |

field theory | 167 | 0.0071 | 709 | 0.0017 | 4.2455 | 1902-2020 | 1900-2020 |

holomorphic functions | 167 | 0.0906 | 592 | 0.0919 | 3.5449 | 1951-2020 | 1912-2020 |

zeta functions | 167 | 0.0902 | 930 | 0.0873 | 5.5689 | 1953-2020 | 1879-2020 |

three dimensional | 166 | 0.0008 | 1592 | 0.0005 | 9.5904 | 1919-2020 | 1500-2020 |

zeta function | 164 | 0.0565 | 1248 | 0.0765 | 7.6098 | 1923-2020 | 1913-2020 |

linear operators | 163 | 0.0531 | 1313 | 0.0518 | 8.0552 | 1939-2020 | 1930-2020 |

schrödinger equation | 161 | 0.0158 | 1413 | 0.0096 | 8.7764 | 1960-2020 | 1931-2020 |

stokes equations | 182 | 0.0169 | 6682 | 0.0403 | 36.7143 | 1955-2020 | 1933-2020 |

schrodinger equation | 157 | 0.0159 | 1264 | 0.0089 | 8.0510 | 1960-2020 | 1931-2020 |

the stability | 156 | 0.0032 | 3129 | 0.0055 | 20.0577 | 1897-2020 | 1765-2020 |

almost periodic | 155 | 0.0502 | 1110 | 0.0476 | 7.1613 | 1934-2020 | 1926-2020 |

hilbert spaces | 152 | 0.0343 | 1587 | 0.0535 | 10.4408 | 1935-2020 | 1920-2020 |

algebraic groups | 152 | 0.1267 | 780 | 0.0779 | 5.1316 | 1951-2020 | 1949-2020 |

error estimates | 151 | 0.0390 | 3037 | 0.0535 | 20.1126 | 1967-2020 | 1954-2020 |

composition operators | 151 | 0.0833 | 1389 | 0.1419 | 9.1987 | 1974-2020 | 1971-2020 |

linear differential equations | 172 | 0.0604 | 2146 | 0.1139 | 12.4767 | 1891-2020 | 1827-2020 |