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Mathematics

D-Index
37
Citations
20913
World Ranking
2410
National Ranking
1009

Overview

Roger B. Nelsen is affiliated with Lewis & Clark College in the United States and has contributed extensively to the field of mathematics. Their research encompasses a broad range of topics within mathematics and its applications.

The main fields of study covered by their work include:

  • Mathematics

Nelsen's research extends into several subfields, notably:

  • Geometry and Topology
  • Theoretical Computer Science
  • Statistical and Nonlinear Physics
  • Applied Mathematics
  • Algebra and Number Theory

The primary topics addressed in their publications are:

  • Mathematics and Applications
  • History and Theory of Mathematics
  • Advanced Mathematical Theories and Applications
  • Mathematical Inequalities and Applications
  • graph theory and CDMA systems
  • Advanced Topics in Algebra
  • Advanced Theoretical and Applied Studies in Material Sciences and Geometry

Roger B. Nelsen has authored numerous papers, including recent works such as:

  • Elementary Proofs of the Trigonometric Inequalities of Huygens, Cusa, and Wilker (2020), Mathematics Magazine
  • Almost Equilateral Heronian Triangles (2020), Mathematics Magazine
  • Sums of Consecutive Odd Numbers (2023), Mathematics Magazine
  • Machin's Formula Via a Proof Without Words (2021), College Mathematics Journal

Some publications have been coauthored with scholars such as:

  • Claudi Alsina
  • Brian Hopkins

The venues where their work appears most frequently include:

  • Mathematics Magazine
  • College Mathematics Journal
  • Aequationes Mathematicae
  • Math Horizons

In addition to research papers, Roger B. Nelsen has contributed to book publications with the Serbian Mathematical Society and MAA spectrum. Titles include:

  • A Cornucopia of Quadrilaterals (2020)
  • A Panoply of Polygons (2023)
  • The Genius of Gaudí (2025)

Best Publications

  • An Introduction to Copulas

    Roger B. Nelsen

  • Proofs Without Words: Exercises in Visual Thinking

    Roger B. Nelsen

  • On the relationship between Spearman's rho and Kendall's tau for pairs of continuous random variables

    Gregory A. Fredricks;Roger B. Nelsen

  • Best-possible bounds for the distribution of a sum — a problem of Kolmogorov

    M. J. Frank;R. B. Nelsen;B. Schweizer

  • Dependence in probabilistic modeling, Dempster-Shafer theory, and probability bounds analysis.

    William Louis Oberkampf;W. Troy Tucker;Jianzhong Zhang;Lev Ginzburg

  • On the characterization of a class of binary operations on distribution functions

    Claudi Alsina;Roger B. Nelsen;Berthold Schweizer

  • Properties of a one-parameter family of bivariate distributions with specified marginals

    Roger B. Nelsen

  • On the construction of copulas and quasi-copulas with given diagonal sections ☆

    Roger B. Nelsen;José Juan Quesada-Molina;José Antonio Rodríguez-Lallena;Manuel Úbeda-Flores

  • Kendall distribution functions

    Roger B. Nelsen;José Juan Quesada-Molina;José Antonio Rodrı́guez-Lallena;Manuel Úbeda-Flores

  • Proofs without words

    Roger Nelsen

  • Copulas and Association

    Roger B. Nelsen

  • Best-possible bounds on sets of bivariate distribution functions

    Roger B. Nelsen;José Juan Quesada Molina;José Antonio Rodríguez Lallena;Manuel Úbeda Flores

  • Math Made Visual: Creating Images for Understanding Mathematics

    Claudi Alsina;Roger B. Nelsen

  • Dependence and Order in Families of Archimedean Copulas

    Roger B. Nelsen

  • Nonparametric measures of multivariate association

    Roger B. Nelsen

  • Extremes of nonexchangeability

    Roger B. Nelsen

  • Proofs Without Words III: Further Exercises in Visual Thinking

    Roger B. Nelsen

  • Copulas Constructed from Diagonal Sections

    Gregory A. Fredricks;Roger B. Nelsen

  • BOUNDS ON BIVARIATE DISTRIBUTION FUNCTIONS WITH GIVEN MARGINS AND MEASURES OF ASSOCIATION

    Roger B. Nelsen;José Juan Quesada-Molina;Joseé Antonio Rodriíguez-Lallena;Manuel Úbeda-Flores

  • Concordance and Copulas: A Survey

    Roger B. Nelsen

Frequent Co-Authors

William L. Oberkampf
William L. Oberkampf Sandia National Laboratories
Ira M. Gessel
Ira M. Gessel Brandeis University
Fabrizio Durante
Fabrizio Durante University of Salento

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