output
20032026
most citedEuler and Chebyshev: From the sphere to the plane and backwards

12 citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

collaborating institutions
Showing math.HOShow all

28 papers · 1 filter

math.HO2026

Spherical trigonometry before the modern era:The treatise of Nasir al-Din al-Tusi

Athanase Papadopoulos

This is an overview of Nasir al-Din al-Tusi's Treatise of the quadrilateral, an invaluable 13th century document on spherical geometry which was translated into French in 1891. The…

math.HO2026

Johann Heinrich Lambert's memoir "Theorie der Parallellinien": A review with commentary

Athanase Papadopoulos, Guillaume Théret

We review the memoir \emph{heorie der Parallellinien} by Johann Heinrich Lambert, written in 1766. Lambert, a victim of the prejudices of his time, conceived this memoir as an atte…

math.HO2026

Simone Weil, Andr{é} Weil, Bourbaki and Pythagorean mathematics

Athanase Papadopoulos

Simone Weil is one of the most prominent 20th century French philosophers. She is the sister of Andr{é} Weil, the renowned mathematician, the father of modern algebraic geometry an…

math.HO2025

Galilei and Huygens: Music and science

Athanase Papadopoulos

Vincenzo Galilei and Constantijn Huygens were both humanists and eminent musicians, the former from the late Renaissance and the latter from the early Modern era. Their respective…

math.HO2025

Andr{é} and Simone Weil: Mathematics, social activism and Indian culture

Athanase Papadopoulos, Susumu Tanabé

This is an essay on the relation of Andr{é} and Simone Weil with Indian culture and Sanskrit literature, especially the Bhagavad G{ī}t{ā}, a Hindu scripture which they knew well, w…

math.HO2025

Euler's work on spherical geometry: An overview with comments

Athanase Papadopoulos, Vladimir Turaev

We review Euler's work on spherical geometry. After an introduction concerning the general place that trigonometric formulae occupy in geometry, we start by the two memoirs of Eule…

math.HO2025

The mathematics of periodic anthyphairesis as a basis for the full understanding of Plato's philosophy

Stelios Negrepontis, Athanase Papadopoulos

Even though Plato's philosophy in ancient times was always closely associated with mathematics, modern Platonic scholarship, during the last five centuries, has moved steadily towa…

math.HO2025

On the Marinus--Ptolemy and Delisle--Euler conical maps

Hideki Miyachi, Ken'Ichi Ohshika, Athanase Papadopoulos

We examine connections between the mathematics behind methods of drawing geographical maps due, on the one hand to Marinos and Ptolemy (1st-2nd c. CE) and on the other hand to Deli…

math.HO2024

Geometry in the twentieth century: A return to Euclid -- The work of Herbert Busemann

Athanase Papadopoulos

This is a point of view of the work of Herbert Busemann (1905-1994), seen as a return to the geometry of Ancient Greece. The importance of this work, its recognition and its relati…

math.HO2023

Café conversations: A tribute to Norbert A'Campo

Athanase Papadopoulos

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. Th…

math.HO2023

Pavel Florensky and his world

Athanase Papadopoulos

This is an overview of the life and works of Pavel Florensky, an important and singular figure of the period rightly described as the \emph{Silver Age of Russian mathematics}, with…

math.HO2022

On Delisle's geographical projection

Charalampos Charitos, Athanase Papadopoulos

Joseph-Nicolas Delisle was one of the most important scientists at the Saint Petersburg Academy of Sciences during the first period when Euler was working there. Euler was helping…

math.HO2022

Clairaut, Euler and the figure of the Earth

Athanase Papadopoulos

The sphericity of the form of the Earth was questioned around the year 1687, primarily, by Isaac Newton who deduced from his theory of universal gravitation that the Earth has the…

math.HO2022

Ren{é} Thom: From mathematics to philosophy

Athanase Papadopoulos

I discuss Ren{é} Thom's approach to philosophy based on his mathematical background. At the same time, I will highlight his connection with Aristotle, his criticism of the modern v…

math.HO2021

Math{é}matiques, musique et cosmologie : A partir du Tim{é}e de Platon

Athanase Papadopoulos

Based on Plato's Timaeus, we present some reflections on music, cosmology and mathematics and their mutual influence.The article is dedicated to the composer Walter Zimmermann. The…

math.HO2020★ 1 cited

Map drawing and foliations of the sphere

Athanase Papadopoulos

I will consider some questions related to Euler's work on cartography and its consequences, in which the foliations of the sphere by meridians and parallels play important roles.

math.HO2020

Messiaen et les mathématiques

Athanase Papadopoulos

We review some of Olivier Messiaen's use of mathematics in his composition and his theoretical writings. The final version of this paper appeared in the book Twentieth-Century Musi…

math.HO2020

A note on Nicolas-Auguste Tissot: At the origin of quasiconformal mappings (to appear in Vol. VII of the Handbook of Teichm{ü}ller Theory)

Athanase Papadopoulos

Nicolas-Auguste Tissot (1824--1897) was a French mathematician and cartographer. He introduced a tool which became known among geographers under the name ``Tissot indicatrix'', and…

math.HO2019

Convexity in Greek antiquity

Athanase Papadopoulos

We consider several appearances of the notion of convexity in Greek antiquity, more specifically in mathematics and optics, in the writings of Aristotle, and in art. The final vers…

math.HO2017

Physics in Riemann's mathematical papers

Athanase Papadopoulos

Riemann's mathematical papers contain many ideas that arise from physics, and some of them are motivated by problems from physics. In fact, it is not easy to separate Riemann's ide…

math.HO2017

Herbert Busemann (1905--1994). A biography for his Selected Works edition

Athanase Papadopoulos

This is a biography of Herbert Busemann (1905--1994). The final version will appear in Volume I of the Selected Works of Herbert Busemann (2 volumes, Springer Verlag, to appear in…

math.HO2017

Looking backward: From Euler to Riemann

Athanase Papadopoulos

We survey the main ideas in the early history of the subjects on which Riemann worked and that led to some of his most important discoveries. The subjects discussed include the the…

math.HO2017

Mathematics, physics and philosophy in Riemann's work and beyond

Athanase Papadopoulos

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, Springe…

math.HO2017★ 6 cited

Quasiconformal mappings, from Ptolemy's geography to the work of Teichmüller

Athanase Papadopoulos

The origin of quasiconformal mappings, like that of conformal mappings, can be traced back to old cartography where the basic problem was the search for mappings from the sphere on…