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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

Professor Sir Karl Popper (1902-1994) was one of the most influential philosophers of science of the twentieth century, best known for his doctrine of falsifiability. His axiomatic formulation of probability, however, is unknown to current…

History and Philosophy of Physics · Physics 2014-12-25 Alan B. Whiting

The classical platonist/formalist dilemma in philosophy of mathematics can be expressed in lay terms as a deceptively naive question: is new mathematics discovered or invented? Using an example from my own mathematical life, I argue that…

History and Overview · Mathematics 2013-09-24 Alexandre Borovik

Prof. K.G Ramanathan was a legendary Indian Mathematician, working in Number Theory and a prolific Institution builder. Apart from this, he was an excellent teacher and influenced several brilliant students. In this article, we overview his…

Number Theory · Mathematics 2022-11-24 Maitreyo Bhattacharjee

In this paper we give a short biography of Harald Niederreiter and we spotlight some cornerstones from his wide-ranging work. We focus on his results on uniform distribution, algebraic curves, polynomials and quasi-Monte Carlo methods. In…

History and Overview · Mathematics 2014-07-15 Gerhard Larcher , Friedrich Pillichshammer , Arne Winterhof , Chaoping Xing

Karl Pearson played an enormous role in determining the content and organization of statistical research in his day, through his research, his teaching, his establishment of laboratories, and his initiation of a vast publishing program. His…

Methodology · Statistics 2008-09-01 Stephen M. Stigler

Theory of Probability is distinguished by several high-level philosophical attitudes, some stressed by Jeffreys, some implicit. By reviewing these we may recognize the importance in this work in the historical development of statistics.…

Methodology · Statistics 2010-01-19 Robert Kass

We construct the complex tangent as a meromorphic function in the plane, using an approach developed by Weierstrass in his characterization of analytic functions that satisfy algebraic addition theorems.

Classical Analysis and ODEs · Mathematics 2019-02-11 P. L. Robinson

We consider the mathematical theory of geographical maps, with an emphasis on the eighteenth century works of Euler, Lagrange and Delisle. This period is characterized by the frequent use of maps that are no more obtained by the…

History and Overview · Mathematics 2021-11-23 Athanase Papadopoulos

This chapter presents a brief review of complexity research in mathematics education. We argue how research on complexity, as it pertains to mathematics education, can be viewed as an epistemological discourse, an historical discourse, a…

Physics Education · Physics 2018-05-22 Brent Davis , Pratim Sengupta

The aim of this paper is to study the historical evolution of mathematical thinking and its spatial spreading. To do so, we have collected and integrated data from different online academic datasets. In its final stage, the database…

History and Overview · Mathematics 2016-03-22 Floriana Gargiulo , Auguste Caen , Renaud Lambiotte , Timoteo Carletti

This article was written on the occasion of Hans Grauert receiving the Cantor Medallion of the Deutsche Mathematische Vereinigung. It is a brief overview of his mathematical contributions and attempts to convey the author's great respect…

History and Overview · Mathematics 2010-04-01 Alan Huckleberry

The paper is an introduction to intuitionistic mathematics.

Logic · Mathematics 2021-02-03 Wim Veldman

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

Stieltjes' work on continued fractions and the orthogonal polynomials related to continued fraction expansions is summarized and an attempt is made to describe the influence of Stieltjes' ideas and work in research done after his death,…

Classical Analysis and ODEs · Mathematics 2013-10-16 Walter Van Assche

As David Berlinski writes (1997), the existence and nature of mathematics is a more compelling and far deeper problem than any of the problems raised by mathematics itself. Here we analyze the essence of mathematics making the main emphasis…

History and Overview · Mathematics 2017-09-21 Mark Burgin

This chapter takes a historical view of the development of mathematics education, from its initial status as a business mostly managed by mathematicians to the birth of mathematics education as a scientific field of research. Starting from…

History and Overview · Mathematics 2016-03-03 Fulvia Furinghetti , José Manuel Matos , Marta Menghini

In remembrance of Professor Uffe Valentin Haagerup (1949--2015), as a brilliant mathematician, we review some aspects of his life, and his outstanding mathematical accomplishments.

Functional Analysis · Mathematics 2021-07-23 Mohammad Sal Moslehian , Erling Størmer , Steen Thorbjørnsen , Carl Winsløw

Historian Herbert Mehrtens sought to portray the history of turn-of-the-century mathematics as a struggle of modern vs countermodern, led respectively by David Hilbert and Felix Klein. Some of Mehrtens' conclusions have been picked up by…

History and Overview · Mathematics 2018-05-29 Jacques Bair , Piotr Błaszczyk , Peter Heinig , Mikhail G. Katz , Jan Peter Schäfermeyer , David Sherry

The fundamental role of mathematics as an inspiration for artists, but also as a tool for art creation, is presented in this paper following different art fields, like architecture, sculpture, painting, photography, literature and poetry,…

History and Overview · Mathematics 2025-03-06 Maria J. Esteban