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This article gives an account of a teaching experience carried out from 2008 to 2021 at the university of Franche-Comt{\'e} as an answer to the ministerial command of proposing cross-disciplinary courses in the curricula. The goal of the…

History and Overview · Mathematics 2022-01-13 Spangle Durac , Claude Merker , Stefan Neuwirth

An account of the careers of the five women who completed a doctorate in mathematics in France before 1960 and became internationally known scientists, followed by a more general description of the place of women on the mathematical scene…

History and Overview · Mathematics 2015-02-27 Yvette Kosmann-Schwarzbach

This is a review of ``Potentiality, Entanglement and Passion-at-a-Distance: Quantum Mechanical Studies for Abner Shimony, Volume Two''. The Festschrift contains contributions from some of the most eminent workers in foundations of quantum…

Quantum Physics · Physics 2016-07-05 Joy Christian

This is an updated version of the lectures notes for a course on condensed mathematics taught in the summer term 2019 at the University of Bonn. The material presented is joint work with Dustin Clausen. This is intended as a stable citable…

Number Theory · Mathematics 2026-05-06 Peter Scholze

In spite of the wide range of his book, Cournot did not know some essential discoveries in natural sciences (William Herschel, Daniel Bernoulli, Humboldt) and his deliberations about measurement were almost useless. But he introduced the…

History and Overview · Mathematics 2019-02-11 A. A. Cournot

This is the introduction I wrote for the multi-authored book "From Riemann to differential geometry and relativity", edited by L. Ji, A. Papadopoulos and S. Yamada (Berlin, Springer verlag, 2017). The book consists of twenty chapters,…

History and Overview · Mathematics 2017-09-04 Athanase Papadopoulos

We examine evaluations of the contributions of Matrix Mechanics and Max Born to the formulation of quantum mechanics from Heisenberg's Helgoland paper of 1925 to Born's Nobel Prize of 1954. We point out that the process of evaluation is…

History and Philosophy of Physics · Physics 2023-07-12 John L. Heilbron , Carlo Rovelli

This paper starts with a biographical sketch of the life of Josef Meixner. Then his motivations to work on orthogonal polynomials and special functions are reviewed. Meixner's 1934 paper introducing the Meixner and Meixner-Pollaczek…

History and Overview · Mathematics 2024-01-05 Paul L. Butzer , Tom H. Koornwinder

This article--summarizing the authors' then novel formulation of General Relativity--appeared as Chapter 7 of an often cited compendium edited by L. Witten in 1962, which is now long out of print. Intentionally unretouched, this posting is…

General Relativity and Quantum Cosmology · Physics 2009-11-10 R. Arnowitt , S. Deser , C. W. Misner

Mathematics as an area of study occupies an important place in higher education. Due in part to its utility in other disciplines as well as its role in student learning, institutions of higher education (IHEs) often have large numbers of…

History and Overview · Mathematics 2024-04-16 Edgar J. Fuller

This is an English translation of the obituary notice by Beno Eckmann, appearing in Elemente der Mathematik 47.3 (1992) 118--122 (in German).

History and Overview · Mathematics 2016-11-14 Beno Eckmann

This history of the concept of fact reveals that the fact-oriented practices of German physicists and historians derived from common origins. The concept of fact became part of the German language remarkably late. It gained momentum only…

History and Philosophy of Physics · Physics 2019-06-20 Sjang L. Ten Hagen

We provide an English translation of "\"Uber positive Darstellungen von Polynomen" by Ernst Meissner, originally published 1911 in Mathematische Annalen (70) 223-235.

History and Overview · Mathematics 2024-01-23 Hannah K. Wayment-Steele

As a social science information service for the German language countries, we document research projects, publications, and data in relevant fields. At the same time, we aim to provide well-founded bibliometric studies of these fields.…

Digital Libraries · Computer Science 2013-09-23 Andreas Strotmann , Arnim Bleier

This volume covers one of the most thrilling two-year periods in twentieth-century physics, as matrix mechanics - developed chiefly by W. Heisenberg, M. Born, and P. Jordan - and wave mechanics - developed by E. Schr\"odinger - supplanted…

This is a translation of Heinz Bachmann's influential paper, wherein the Bachmann-Howard ordinal is defined, and some general considerations given on systems of ordinal functions. Permission to post has been granted by the editors of…

Logic · Mathematics 2019-03-13 Heinz Bachmann

This text is based on an invited talk at the Dedekind Symposium at Braunschweig in October 2016. It summarizes views from my recent commented edition of Dedekinds two books on the foundations of mathematics.

History and Overview · Mathematics 2017-01-10 Stefan Müller-Stach

This is a slightly edited translation of a paper in Dutch which appeared in Nieuw Archief voor Wiskunde (5) 25 (2024), No.2, 87-90 on the occasion of I.G. Macdonald's death in 2023, and aimed at a very broad mathematical audience. First we…

History and Overview · Mathematics 2026-01-13 Gert Heckman , Tom Koornwinder , Eric Opdam

Measurements have historically presented a problem for the consistent description of quantum theories, be it in non-relativistic quantum mechanics or in quantum field theory. Drawing on a recent surge of interest in the description of…

Mathematical Physics · Physics 2024-03-01 Felipe Dilho Alves

This work is a dissertation thesis written at the WWU Muenster (Germany), supervised by Prof. Dr. Raimar Wulkenhaar. We present an approach to adelic physics based on the language of algebraic spaces. Relative algebraic spaces X over a base…

High Energy Physics - Theory · Physics 2008-09-23 Rene Schmidt