Karl Menger

7.0k total citations
48 papers, 505 citations indexed

About

Karl Menger is a scholar working on Theoretical Computer Science, Geometry and Topology and Computational Theory and Mathematics. According to data from OpenAlex, Karl Menger has authored 48 papers receiving a total of 505 indexed citations (citations by other indexed papers that have themselves been cited), including 8 papers in Theoretical Computer Science, 5 papers in Geometry and Topology and 3 papers in Computational Theory and Mathematics. Recurrent topics in Karl Menger's work include History and Theory of Mathematics (8 papers), Mathematics and Applications (4 papers) and Advanced Thermodynamics and Statistical Mechanics (2 papers). Karl Menger is often cited by papers focused on History and Theory of Mathematics (8 papers), Mathematics and Applications (4 papers) and Advanced Thermodynamics and Statistical Mechanics (2 papers). Karl Menger collaborates with scholars based in United States. Karl Menger's co-authors include Mark W. Zemansky, Hans Freudenthal, Leonard M. Blumenthal, John W Dawson, Egbert Dierker, Karl Sigmund, Shimon Even, Berthold Schweizer, A. Sklar and Ben Dushnik and has published in prestigious journals such as Science, Proceedings of the National Academy of Sciences and Journal of Educational Psychology.

In The Last Decade

Karl Menger

43 papers receiving 420 citations

Peers — A (Enhanced Table)

Peers by citation overlap · career bar shows stage (early→late) cites · hero ref

Name h Career Trend Papers Cites
Karl Menger United States 10 91 90 69 68 63 48 505
Raymond Ayoub United States 9 42 0.5× 92 1.0× 11 0.2× 29 0.4× 18 0.3× 33 482
Hans Rudi Fischer United States 10 131 1.4× 161 1.8× 166 2.4× 15 0.2× 18 0.3× 39 755
Konrad Knopp Germany 4 98 1.1× 87 1.0× 38 0.6× 5 0.1× 16 0.3× 15 643
George Boole 10 103 1.1× 37 0.4× 19 0.3× 76 1.1× 4 0.1× 15 566
J. C. P. Miller United Kingdom 13 84 0.9× 57 0.6× 11 0.2× 5 0.1× 17 0.3× 46 507
Robert S. Lehman United States 12 85 0.9× 78 0.9× 9 0.1× 19 0.3× 7 0.1× 42 472
Daniel J. Velleman United States 11 171 1.9× 213 2.4× 20 0.3× 12 0.2× 11 0.2× 68 640
Gerald L. Alexanderson United States 11 57 0.6× 91 1.0× 5 0.1× 15 0.2× 10 0.2× 91 369
Antonio Machı̀ Italy 8 129 1.4× 60 0.7× 77 1.1× 40 0.6× 44 0.7× 19 572
Israel Kleiner Canada 12 33 0.4× 50 0.6× 7 0.1× 31 0.5× 8 0.1× 38 344

Countries citing papers authored by Karl Menger

Since Specialization
Citations

This map shows the geographic impact of Karl Menger's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Karl Menger with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Karl Menger more than expected).

Fields of papers citing papers by Karl Menger

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Karl Menger. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Karl Menger. The network helps show where Karl Menger may publish in the future.

Co-authorship network of co-authors of Karl Menger

This figure shows the co-authorship network connecting the top 25 collaborators of Karl Menger. A scholar is included among the top collaborators of Karl Menger based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Karl Menger. Karl Menger is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

20 of 20 papers shown
1.
Menger, Karl. (2003). Selecta Mathematica. 2 indexed citations
2.
Menger, Karl, B. Schweizer, A. Sklar, et al.. (2003). Selecta Mathematica : Volume 2.
3.
Menger, Karl, Egbert Dierker, Karl Sigmund, & John W Dawson. (1998). Ergebnisse eines Mathematischen Kolloquiums. 35 indexed citations
4.
Menger, Karl. (1979). Selected Papers in Logic and Foundations, Didactics, Economics. 30 indexed citations
5.
Menger, Karl. (1974). Morality, Decision and Social Organization. 8 indexed citations
6.
Even, Shimon, et al.. (1962). On the Number of Partitionings of a Set of n Distinct Objects. American Mathematical Monthly. 69(8). 782–782. 8 indexed citations
7.
Menger, Karl. (1960). A counterpart of Occam's razor in pure and applied mathematics ontological uses. Synthese. 12(4). 415–428. 7 indexed citations
8.
Menger, Karl, Berthold Schweizer, & A. Sklar. (1959). On probabilistic metrics and numerical metrics with probability. I. Czechoslovak Mathematical Journal. 9(3). 459–466. 5 indexed citations
9.
Menger, Karl. (1959). Gulliver in the Land without One, Two, Three. The Mathematical Gazette. 43(346). 241–250. 2 indexed citations
10.
Menger, Karl. (1958). New Approach To Teaching Intermediate Mathematics. Science. 127(3310). 1320–1323. 1 indexed citations
11.
Menger, Karl. (1956). What Are x and y ?. The Mathematical Gazette. 40(334). 246–255. 4 indexed citations
12.
Menger, Karl. (1955). THE BEHAVIOR OF A COMPLEX FUNCTION AT INFINITY. Proceedings of the National Academy of Sciences. 41(7). 512–513.
13.
Menger, Karl. (1954). ON VARIABLES IN MATHEMATICS AND IN NATURAL SCIENCE. The British Journal for the Philosophy of Science. 5(18). 134–142. 9 indexed citations
14.
Menger, Karl. (1954). A SIMPLE DEFINITION OF ANALYTIC FUNCTIONS AND GENERAL MULTIFUNCTIONS. Proceedings of the National Academy of Sciences. 40(9). 819–821. 2 indexed citations
15.
Menger, Karl, et al.. (1953). Calculus—A Modern Approach. American Journal of Physics. 21(5). 398–399. 10 indexed citations
16.
Menger, Karl, et al.. (1953). The Nature of Number. An Approach to Basic Ideas of Modern Mathematics.. American Mathematical Monthly. 60(4). 273–273.
17.
Menger, Karl. (1952). The Formative Years of Abraham Wald and His Work in Geometry. The Annals of Mathematical Statistics. 23(1). 14–20. 13 indexed citations
18.
Menger, Karl, et al.. (1952). You Will Like Geometry. American Journal of Physics. 20(8). 521–521. 5 indexed citations
19.
Menger, Karl. (1951). The Mathematics of Elementary Thermodynamics. American Journal of Physics. 19(8). 476–477. 1 indexed citations
20.
Menger, Karl. (1951). Probabilistic Theories of Relations. Proceedings of the National Academy of Sciences. 37(3). 178–180. 44 indexed citations

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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