The conception of socialist calculus: statistics in the USSR within the thirties. (Former au calcul socialiste: statistiques en URSS des années 1930.)
The contributions of Hilbert and Dehn to non-archimedean geometries and their impact on the italian school
In this paper we investigate the contribution of Dehn to the development of non-Archimedean geometries. We will see that it is possible to construct some models of non-Archimedean geometries in order to prove the independence of the continuity axiom and we will study the interrelations between Archimedes’ axiom and Legendre’s theorems. Some of these interrelations were also studied by Bonola, who was one of the very few Italian scholars to appreciate Dehn’s work. We will see that, if Archimedes’...
The "Corolarium II" to the proposition XXIII of Saccheri's Euclides.
This "Corolarium" of the Euclides (1733) contains an original proof of propositions 1.27 and 1.28 of Euclide's Elements. In the same corollary Saccheri explains why he dispenses "not only with the propositions 1.27 and 1.28, but also with the very propositions 1.16 and 1.17, except when it is clearly dealt with a triangle circumscribed by alls sides"; and also why he rejects Euclide's proof. Moreover the corollarium has implications for confirmation of Saccheri's method; and also for his concept...
The correspondence between Beppo Levi and Mischa Cotlar. The first publications of Cotlar.
The Correspondence between Georg Cantor and Philip Jourdain.
The divergence theorem
This is an expository paper dealing with Jan Marik's results concerning perimeter and the divergence theorem of Gauss-Green-Ostrogradski.
The division problem gets going: more and more. (Le problème des partis bouge: de plus en plus.)
The earliest semigroup paper?
The early reception in France of the work of Poincaré and Lyapunov in the qualitative theory of differential equations
The education of Jean André Ville.
The eightieth birthday of Academician Otakar Borůvka
The eightieth birthday of Professor Josef Novák
The Elements of Geometry [Book]
The emergence of french probabilistic statistics. Borel and the Institut Henri Poincaré around the 1920s
This paper concerns the emergence of modern mathematical statistics in France after the First World War. Emile Borel’s achievements are presented, and especially his creation of two institutions where mathematical statistics was developed: the Statistical Institute of Paris University, (ISUP) in 1922 and above all the Henri Poincaré Institute (IHP) in 1928. At the IHP, a new journal Annales de l’Institut Henri Poincaré was created in 1931. We discuss the first papers in that journal dealing with...
The epistemological foundations of geometry in 19th century
The Euclidean inscribed polygon.
The Evolving Digital Mathematics Network
The grand vision of a Digital Mathematics Library (DML), coordinated by a group of institutions that establish polices and practices regarding digitization, management, access, and preservation, has not come to pass. The project encountered two related problems: it was overly ambitious, and the approach to realizing it confused local and community responsibilities. While the vision called for a network of distributed, interoperable repositories, we approached and planned the project as if we were...
The fundamental theorem of algebra before Carl Friedrich Gauss.
This is a paper about the first attemps of demonstration of the fundamental theorem of algebra.Before, we analyze the tie between complex numbers and the number of roots of an equation of n-th degree.In the second paragraph, we see the relation between integration and the fundamental theorem.Finally, we observe the linear differential equation with constant coefficients and Euler's position about the fundamental theorem, and then we consider d'Alembert's, Euler's and Laplace's demonstrations.It...
The game as a contract and the “risicum" in the work of Olivi. (Le jeu comme contrat et le risicum chez Olivi.)
The Gauss center research in multiscale scientific computation.