Arthur Sard

1.6k total citations
18 papers, 367 citations indexed

About

Arthur Sard is a scholar working on Mathematical Physics, Computational Theory and Mathematics and Numerical Analysis. According to data from OpenAlex, Arthur Sard has authored 18 papers receiving a total of 367 indexed citations (citations by other indexed papers that have themselves been cited), including 4 papers in Mathematical Physics, 2 papers in Computational Theory and Mathematics and 1 paper in Numerical Analysis. Recurrent topics in Arthur Sard's work include Mathematical Dynamics and Fractals (2 papers), Topological and Geometric Data Analysis (2 papers) and Iterative Methods for Nonlinear Equations (1 paper). Arthur Sard is often cited by papers focused on Mathematical Dynamics and Fractals (2 papers), Topological and Geometric Data Analysis (2 papers) and Iterative Methods for Nonlinear Equations (1 paper). Arthur Sard collaborates with scholars based in United States and United Kingdom. Arthur Sard's co-authors include Frank Quinn, Pál Révész and Steven H. Weintraub and has published in prestigious journals such as Annals of the New York Academy of Sciences, Annals of Mathematics and Transactions of the American Mathematical Society.

In The Last Decade

Arthur Sard

17 papers receiving 262 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Arthur Sard United States 10 124 109 100 89 72 18 367
W. Gilbert Strang United States 6 83 0.7× 94 0.9× 189 1.9× 60 0.7× 84 1.2× 7 412
I. P. Natanson 5 47 0.4× 180 1.7× 80 0.8× 121 1.4× 70 1.0× 8 366
H. L. Loeb United States 13 95 0.8× 106 1.0× 146 1.5× 166 1.9× 71 1.0× 40 440
Elliott Ward Cheney United States 4 41 0.3× 87 0.8× 74 0.7× 61 0.7× 88 1.2× 5 268
H. L. Garabedian United States 6 67 0.5× 94 0.9× 47 0.5× 77 0.9× 28 0.4× 8 320
Zvi Ziegler Israel 10 149 1.2× 170 1.6× 118 1.2× 174 2.0× 90 1.3× 28 466
Hans Weinert Germany 3 119 1.0× 148 1.4× 362 3.6× 119 1.3× 102 1.4× 4 550
L. A. Karlovitz United States 11 73 0.6× 86 0.8× 185 1.9× 118 1.3× 107 1.5× 19 423
Franz-Jürgen Delvos Germany 8 75 0.6× 88 0.8× 44 0.4× 63 0.7× 25 0.3× 27 198
J. Barros-Neto United States 7 81 0.7× 259 2.4× 175 1.8× 77 0.9× 180 2.5× 23 485

Countries citing papers authored by Arthur Sard

Since Specialization
Citations

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

Fields of papers citing papers by Arthur Sard

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Arthur Sard

This figure shows the co-authorship network connecting the top 25 collaborators of Arthur Sard. A scholar is included among the top collaborators of Arthur Sard 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 Arthur Sard. Arthur Sard is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

18 of 18 papers shown
1.
Sard, Arthur. (1973). Approximation based on nonscalar observations. Journal of Approximation Theory. 8(4). 315–334. 10 indexed citations
2.
Quinn, Frank & Arthur Sard. (1972). Hausdorff Conullity of Critical Images of Fredholm Maps. American Journal of Mathematics. 94(4). 1101–1101. 19 indexed citations
3.
Sard, Arthur, et al.. (1972). A Book of Splines.. Journal of the Royal Statistical Society Series A (General). 135(1). 158–158.
4.
Révész, Pál, Arthur Sard, & Steven H. Weintraub. (1971). A book of splines. Medical Entomology and Zoology. 16 indexed citations
5.
Sard, Arthur. (1969). A theory of cotypes. Bulletin of the American Mathematical Society. 75(5). 936–940. 2 indexed citations
6.
Sard, Arthur. (1968). Optimal approximation: an addendum. Journal of Functional Analysis. 2(3). 368–369. 13 indexed citations
7.
Sard, Arthur. (1967). Optimal approximation. Journal of Functional Analysis. 1(2). 222–244. 27 indexed citations
8.
Sard, Arthur, et al.. (1966). Linear Approximation.. American Mathematical Monthly. 73(10). 1138–1138. 25 indexed citations
9.
Sard, Arthur. (1965). Hausdorff Measure of Critical Images on Banach Manifolds. American Journal of Mathematics. 87(1). 158–158. 33 indexed citations
10.
Sard, Arthur. (1963). Linear Approximation. Mathematical surveys and monographs. 136 indexed citations
11.
Sard, Arthur. (1960). NEW FUNCTION SPACES AND THEIR ADJOINTS†. Annals of the New York Academy of Sciences. 86(3). 700–757. 2 indexed citations
12.
Sard, Arthur. (1958). Images of Critical Sets. Annals of Mathematics. 68(2). 247–247. 40 indexed citations
13.
Sard, Arthur. (1956). Approximation and Projection. Journal of Mathematics and Physics. 35(1-4). 127–144. 5 indexed citations
14.
Sard, Arthur. (1952). Remainders as integrals of partial derivatives. Proceedings of the American Mathematical Society. 3(5). 732–741. 8 indexed citations
15.
Sard, Arthur. (1952). Remainders as Integrals of Partial Derivatives. Proceedings of the American Mathematical Society. 3(5). 732–732. 3 indexed citations
16.
Sard, Arthur. (1952). Approximation and Variance. Transactions of the American Mathematical Society. 73(3). 428–428. 6 indexed citations
17.
Sard, Arthur. (1952). Approximation and variance. Transactions of the American Mathematical Society. 73(3). 428–446. 13 indexed citations
18.
Sard, Arthur. (1951). Remainders: Functions of several variables. Acta Mathematica. 84(0). 319–346. 9 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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