Reuben Hersh

6.9k total citations · 1 hit paper
79 papers, 3.4k citations indexed

About

Reuben Hersh is a scholar working on Theoretical Computer Science, Mathematical Physics and Applied Mathematics. According to data from OpenAlex, Reuben Hersh has authored 79 papers receiving a total of 3.4k indexed citations (citations by other indexed papers that have themselves been cited), including 16 papers in Theoretical Computer Science, 14 papers in Mathematical Physics and 10 papers in Applied Mathematics. Recurrent topics in Reuben Hersh's work include History and Theory of Mathematics (16 papers), Mathematics Education and Teaching Techniques (7 papers) and Differential Equations and Boundary Problems (6 papers). Reuben Hersh is often cited by papers focused on History and Theory of Mathematics (16 papers), Mathematics Education and Teaching Techniques (7 papers) and Differential Equations and Boundary Problems (6 papers). Reuben Hersh collaborates with scholars based in United States and Brazil. Reuben Hersh's co-authors include Stanislas Dehaene, Philip J. Davis, Elena Anne Marchisotto, Philip J. Davis, Gian‐Carlo Rota, William McGowen Priestley, Henry S. Tropp, Richard J. Griego, Philip Davis and Morris Kline and has published in prestigious journals such as Proceedings of the National Academy of Sciences, Journal of the American Statistical Association and Physics Today.

In The Last Decade

Reuben Hersh

70 papers receiving 2.9k citations

Hit Papers

The Number Sense: How the Mind Creates Mathematics. 1998 2026 2007 2016 1998 250 500 750 1000
What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

  1. The Number Sense: How the Mind Creates Mathematics.
    1998 1.2k citations Reuben Hersh et al. profile →

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Reuben Hersh United States 22 1.6k 1.2k 721 429 354 79 3.4k
David Tall United Kingdom 38 4.4k 2.8× 2.1k 1.7× 983 1.4× 135 0.3× 647 1.8× 153 5.4k
Hans Freudenthal Netherlands 24 2.3k 1.5× 1.2k 0.9× 492 0.7× 55 0.1× 282 0.8× 110 4.0k
Matthew Inglis United Kingdom 29 2.2k 1.4× 1.7k 1.4× 986 1.4× 355 0.8× 149 0.4× 109 3.0k
George Pólya United States 19 1.1k 0.7× 587 0.5× 401 0.6× 83 0.2× 202 0.6× 50 5.2k
Tommy Dreyfus Israel 26 2.2k 1.4× 1.1k 0.9× 704 1.0× 78 0.2× 211 0.6× 107 2.7k
Rafael Núñez United States 26 895 0.6× 815 0.7× 1.0k 1.4× 601 1.4× 116 0.3× 60 3.6k
Morris Kline United States 19 480 0.3× 197 0.2× 133 0.2× 87 0.2× 507 1.4× 49 2.3k
David Hestenes United States 37 4.6k 2.9× 188 0.2× 2.2k 3.1× 236 0.6× 49 0.1× 81 8.6k
Ernst von Glasersfeld United States 24 1.9k 1.2× 533 0.4× 1.0k 1.4× 257 0.6× 56 0.2× 77 3.5k
Alan H. Schoenfeld United States 42 5.8k 3.7× 1.7k 1.4× 2.6k 3.6× 168 0.4× 126 0.4× 150 7.4k

Countries citing papers authored by Reuben Hersh

Since Specialization
Citations

This map shows the geographic impact of Reuben Hersh'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 Reuben Hersh with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Reuben Hersh more than expected).

Fields of papers citing papers by Reuben Hersh

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Reuben Hersh. 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 Reuben Hersh. The network helps show where Reuben Hersh may publish in the future.

Co-authorship network of co-authors of Reuben Hersh

This figure shows the co-authorship network connecting the top 25 collaborators of Reuben Hersh. A scholar is included among the top collaborators of Reuben Hersh 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 Reuben Hersh. Reuben Hersh 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.
Hersh, Reuben. (2014). Peter Lax, Mathematician: An Illustrated Memoir. CERN Document Server (European Organization for Nuclear Research). 1 indexed citations
2.
Hersh, Reuben. (2012). Why the Faulhaber Polynomials Are Sums of Even or Odd Powers of ( n + 1/2). College Mathematics Journal. 43(4). 322–324. 2 indexed citations
3.
Hersh, Reuben. (2011). Alvin White, A Man of Courage. Journal of Humanistic Mathematics. 1(2). 56–60. 2 indexed citations
4.
Hersh, Reuben. (2011). Mathematical Intuition (Poincaré, Polya, Dewey). The Mathematics Enthusiast. 8(1-2). 35–50. 1 indexed citations
5.
Hersh, Reuben. (2010). Under-represented Then Over-represented: A Memoir of Jews in American Mathematics. College Mathematics Journal. 41(1). 2–9. 2 indexed citations
6.
Hersh, Reuben. (2006). 18 Unconventional Essays on the Nature of Mathematics. CERN Document Server (European Organization for Nuclear Research). 47 indexed citations
7.
Hersh, Reuben. (2003). The Birth of Random Evolutions. The Mathematical Intelligencer. 25(1). 53–60. 6 indexed citations
8.
Davis, Philip J., Reuben Hersh, & Elena Anne Marchisotto. (2003). The Companion Guide to the Mathematical Experience, Study Edition. CERN Document Server (European Organization for Nuclear Research). 2 indexed citations
9.
Davis, Philip J., Reuben Hersh, & Elena Anne Marchisotto. (1995). The Companion Guide to the Mathematical Experience. Birkhäuser Boston eBooks. 5 indexed citations
10.
Hersh, Reuben. (1992). In Memoriam: Nicholas D. Kazarinoff. SIAM Review. 34(1). 127–127. 1 indexed citations
11.
Tropp, Henry S., Philip J. Davis, & Reuben Hersh. (1982). The Mathematical Experience. The Two-Year College Mathematics Journal. 13(1). 72–72. 188 indexed citations
12.
Hersh, Reuben & Tosio Kato. (1979). High-Accuracy Stable Difference Schemes for Well-Posed Initial-Value Problems. SIAM Journal on Numerical Analysis. 16(4). 670–682. 58 indexed citations
13.
Hersh, Reuben. (1979). Some proposals for reviving the philosophy of mathematics. Advances in Mathematics. 31(1). 31–50. 98 indexed citations
14.
Hersh, Reuben. (1978). Proofs and refutations. Advances in Mathematics. 29(1). 131–133. 7 indexed citations
15.
Hersh, Reuben. (1978). Introducing imre lakatos. The Mathematical Intelligencer. 1(3). 148–151. 2 indexed citations
16.
Hersh, Reuben. (1974). Random evolutions: A survey of results and problems. Rocky Mountain Journal of Mathematics. 4(3). 67 indexed citations
17.
Davis, Martin & Reuben Hersh. (1973). Hilbert's 10th Problem. Scientific American. 229(5). 84–91. 5 indexed citations
18.
Griego, Richard J. & Reuben Hersh. (1971). Theory of random evolutions with applications to partial differential equations. Transactions of the American Mathematical Society. 156(0). 405–418. 69 indexed citations
19.
Hersh, Reuben. (1970). Explicit solution of a class of higher-order abstract Cauchy problems. Journal of Differential Equations. 8(3). 570–579. 33 indexed citations
20.
Hersh, Reuben. (1969). A class of “central limit theorems” for convolution products of generalized functions. Transactions of the American Mathematical Society. 140(0). 71–85. 3 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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