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This survey article on Hilbert's first and second problems is adapted from a one-hour colloquium lecture given at the University of Auckland in May, 2000, just three months before the 100th anniversary of Hilbert's lecture. It includes an…

General Mathematics · Mathematics 2007-05-23 Peter J. Nyikos

Incomputability as a mathematical notion arose from work of Alan Turing and Alonzo Church in the 1930s. Like Turing himself, it attracted less attention than it deserved beyond the confines of mathematics. Today our experiences in computer…

History and Overview · Mathematics 2013-04-24 S. Barry Cooper

This is an intrusion in the life and the mathematics of Norbert A'Campo, intended to be a tribute to him and an acknowledgement of his impact on those who know him and his work. The final version of this paper appears in the book ``Essays…

History and Overview · Mathematics 2023-10-27 Athanase Papadopoulos

The 75th anniversary of Turing's seminal paper and his centennial year anniversary occur in 2011 and 2012, respectively. It is natural to review and assess Turing's contributions in diverse fields in the light of new developments that his…

Computational Complexity · Computer Science 2014-02-10 Miguel-Angel Martin-Delgado

Over the past thirty years or so the authors have been teaching various programming for mathematics courses at our respective Universities, as well as incorporating computer algebra and numerical computation into traditional mathematics…

History and Overview · Mathematics 2022-03-16 Jack Betteridge , Eunice Y. S. Chan , Robert M. Corless , James H. Davenport , James Grant

This article attempts to place the emergence of probabilistic numerics as a mathematical-statistical research field within its historical context and to explore how its gradual development can be related both to applications and to a modern…

Numerical Analysis · Mathematics 2024-12-20 C. J. Oates , T. J. Sullivan

In the article "The Tale of Two Queens and Two Towering Figures" published in CNJ in 2012 (CNJ vol. 57 No. 5, pp. 304-315), we discussed the contributions of Copernicus and Newton to coin minting and monetary reforms, as well as the…

History and Overview · Mathematics 2016-09-30 Henryk Fukś

The Committee of Presidents of Statistical Societies (COPSS) will celebrate its 50th Anniversary in 2013. As part of its celebration, COPSS intends to publish a book with contributions from the past recipients of its four awards, namely the…

Statistics Theory · Mathematics 2013-03-26 Grace Wahba

The University of Strasbourg, fundamentally humanistic since its creation, has a complicated history, being sometimes German, sometimes French through the ages. If one focus, from 1871, on the area of mathematics, we can identify two…

History and Philosophy of Physics · Physics 2025-10-16 D Huilier

The article describes the biography and manifold contributions to research in mathematics of Mikhail Aleksandrovich Shubin.

Since its introduction by P.L. Lions in his lectures and seminars at the College de France, see [9], and also the very helpful notes of Cardialaguet [4] on Lions' lectures, the Master Equation has attracted a lot of interest, and various…

Optimization and Control · Mathematics 2015-03-27 Alain Bensoussan , Jens Frehse , Phillip Yam

We collect here various conjectures on congruences made by the author in a series of papers, some of which involve binary quadratic forms and other advanced theories. Part A consists of 100 unsolved conjectures of the author while…

Number Theory · Mathematics 2015-03-13 Zhi-Wei Sun

The words ``Programming is the second literacy'' were coined more than 40 years ago but never came to life. This paper is one in the series of papers aimed at the analysis of mathematical requirements for a merge of school mathematics with…

History and Overview · Mathematics 2022-12-26 Alexandre Borovik , Vladimir Kondratiev

An obituary of J.R. Dorfman. The focus is on his scientific career and on his many important publications.

Statistical Mechanics · Physics 2026-01-21 T. R. Kirkpatrick , J. V. Sengers , H. van Beijeren

This paper, which is dedicated to Alan Turing on the 50th anniversary of his death, gives an overview and discusses the philosophical implications of incompleteness, uncomputability and randomness.

History and Overview · Mathematics 2007-05-23 G. J. Chaitin

The current work revisits the results of L.F. Meyers and R. See in [3], and presents the census-taker problem as a motivation to introduce the beautiful theory of numbers.

History and Overview · Mathematics 2012-04-11 I. J. L. Garces , M. L. Loyola

We introduce a methodology to analyze citation metrics across fields of Mathematics. We use this methodology to collect and analyze the MathSciNet profiles of Full Professors of Mathematics at all 131 R1, research oriented US universities.…

History and Overview · Mathematics 2020-08-26 Joshua Paik , Igor Rivin

The old lie of mathematical inadequacy of Indigenous communities has been curiously persistent despite increasing evidence shows that many Indigenous communities practiced mathematics. Attempts to study and teach Indigenous mathematical…

History and Overview · Mathematics 2022-12-07 Hongzhang Xu , Rowena Ball

A homage to the life and mathematics of John K. S. McKay. Obituary for the Bulletin of the London Mathematical Society.

History and Overview · Mathematics 2023-05-02 Yang-Hui He

In this talk I will describe the deep influence Planck had on the development of statistical mechanics. At this end I will first outline the theoretical situation of statistical mechanics before Planck. I will then describe his main…

Statistical Mechanics · Physics 2007-05-23 Giorgio Parisi