Detlef Laugwitz

1.1k total citations
60 papers, 527 citations indexed

About

Detlef Laugwitz is a scholar working on Theoretical Computer Science, Mathematical Physics and Geometry and Topology. According to data from OpenAlex, Detlef Laugwitz has authored 60 papers receiving a total of 527 indexed citations (citations by other indexed papers that have themselves been cited), including 22 papers in Theoretical Computer Science, 15 papers in Mathematical Physics and 12 papers in Geometry and Topology. Recurrent topics in Detlef Laugwitz's work include History and Theory of Mathematics (22 papers), Mathematics and Applications (12 papers) and Mathematical and Theoretical Analysis (12 papers). Detlef Laugwitz is often cited by papers focused on History and Theory of Mathematics (22 papers), Mathematics and Applications (12 papers) and Mathematical and Theoretical Analysis (12 papers). Detlef Laugwitz collaborates with scholars based in Germany and Switzerland. Detlef Laugwitz's co-authors include Ludwig Danzer, Hanfried Lenz, E. R. Lorch, Herbert Meschkowski, Rul Gunzenhäuser, Morris Newman, Allen J. Schwenk and Charles R. Johnson and has published in prestigious journals such as American Mathematical Monthly, American Journal of Mathematics and Proceedings of the American Mathematical Society.

In The Last Decade

Detlef Laugwitz

51 papers receiving 426 citations

Peers — A (Enhanced Table)

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

Name h Career Trend Papers Cites
Detlef Laugwitz Germany 11 196 170 111 103 83 60 527
Thomas Hawkins United States 14 154 0.8× 67 0.4× 32 0.3× 134 1.3× 70 0.8× 27 432
Herbert Meschkowski Germany 8 60 0.3× 85 0.5× 119 1.1× 44 0.4× 34 0.4× 38 353
H. B. Griffiths United Kingdom 11 27 0.1× 130 0.8× 57 0.5× 173 1.7× 7 0.1× 47 411
Jesper Lützen Denmark 9 89 0.5× 41 0.2× 19 0.2× 43 0.4× 49 0.6× 31 223
M. M. Schiffer United States 9 10 0.1× 70 0.4× 118 1.1× 103 1.0× 5 0.1× 23 275
Carl B. Allendoerfer United States 5 11 0.1× 121 0.7× 109 1.0× 122 1.2× 4 0.0× 21 328
Olli Lehto Finland 14 41 0.2× 432 2.5× 1.3k 11.3× 1.3k 12.8× 18 0.2× 29 1.8k
Hung-Hsi Wu United States 11 21 0.1× 123 0.7× 443 4.0× 343 3.3× 3 0.0× 23 799
Michèle Audin France 11 15 0.1× 320 1.9× 160 1.4× 516 5.0× 9 0.1× 36 635
David Bleecker United States 11 9 0.0× 134 0.8× 157 1.4× 135 1.3× 6 0.1× 30 438

Countries citing papers authored by Detlef Laugwitz

Since Specialization
Citations

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

Fields of papers citing papers by Detlef Laugwitz

Since Specialization
Physical SciencesHealth SciencesLife SciencesSocial Sciences

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

Co-authorship network of co-authors of Detlef Laugwitz

This figure shows the co-authorship network connecting the top 25 collaborators of Detlef Laugwitz. A scholar is included among the top collaborators of Detlef Laugwitz 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 Detlef Laugwitz. Detlef Laugwitz 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.
Laugwitz, Detlef. (1999). Bernhard Riemann 1826–1866. Birkhäuser Boston eBooks. 25 indexed citations
2.
Laugwitz, Detlef. (1996). Bernhard Riemann 1826-1866: Wendepunkte in der Auffassung der Mathematik. Birkhäuser eBooks. 9 indexed citations
3.
Laugwitz, Detlef, et al.. (1994). Riemann and the Cauchy—Hadamard formula for the convergence of power series. Historia Mathematica. 21(1). 64–70. 1 indexed citations
4.
5.
Laugwitz, Detlef, et al.. (1990). Konzepte des Mathematischen Unendlichen Im 19. Jahrhundert. Vandenhoeck & Ruprecht eBooks. 1 indexed citations
6.
Laugwitz, Detlef. (1987). Infinitely small quantities in Cauchy's textbooks. Historia Mathematica. 14(3). 258–274. 25 indexed citations
7.
Laugwitz, Detlef. (1982). Bolzano's infinitesimal numbers. Czechoslovak Mathematical Journal. 32(4). 667–670. 2 indexed citations
8.
Laugwitz, Detlef. (1980). The theory of infinitesimals : an introduction to nonstandard analysis : ciclo di lezioni tenute nel marzo 1977. 1 indexed citations
9.
Newman, Morris, et al.. (1976). E2516. American Mathematical Monthly. 83(3). 201–201. 1 indexed citations
10.
Laugwitz, Detlef. (1975). On characterizations of inner product spaces. Proceedings of the American Mathematical Society. 50(1). 184–184. 3 indexed citations
11.
Meschkowski, Herbert, et al.. (1972). Didaktik der Mathematik. 6 indexed citations
12.
Laugwitz, Detlef, et al.. (1969). Schulmathematik vom höheren Standpunkt. Medical Entomology and Zoology. 1 indexed citations
13.
Laugwitz, Detlef. (1968). Eine nichtarchimedische Erweiterung angeordneter Körper. Mathematische Nachrichten. 37(3-4). 225–236. 15 indexed citations
14.
Laugwitz, Detlef, et al.. (1966). Differential and Riemannian Geometry.. American Mathematical Monthly. 73(3). 327–327. 116 indexed citations
15.
Laugwitz, Detlef. (1965). Differentialgeometrie in Vektorräumen ; unter besonderer Berücksichtigung der unendlichdimensionalen Räume. 4 indexed citations
16.
Laugwitz, Detlef. (1963). I. M. Gelfand ‐ G. E. Schilow, Verallgemeinerte Funktionen (Distributionen). Band I und II. 364 bzw. XII + 216 S. m. 5 Abb. Berlin 1960/1962. VEB Deutscher Verlag der Wissenschaften. Preis geb. DM 37,‐/ DM 27,–. ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 43(7-8). 385–385. 16 indexed citations
17.
Laugwitz, Detlef. (1961). Einige differentialgeometrische Charakterisierungen der Quadriken. Annali di Matematica Pura ed Applicata (1923 -). 55(1). 307–314.
18.
Laugwitz, Detlef. (1959). Beiträge zur affinen Flächentheorie mit Anwendungen auf die allgemein-metrische Differentialgeometrie. 1 indexed citations
19.
Laugwitz, Detlef. (1958). Eine Bemerkung über konvexe Kurven. Mathematische Zeitschrift. 70(1). 463–464. 1 indexed citations
20.
Laugwitz, Detlef. (1954). Differentialgeometrie ohne Dimensionsaxiom. Mathematische Zeitschrift. 61(1). 100–118. 2 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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