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.
The growth of mathematical culture in the Lvov area in the autonomy period (1870–1920) [Book]
The Hausdorff-Young Theorems of Fourier Analysis and Their Impact.
The Impact of Modern Mathematics on Ancient Mathematics
In a hitherto unpublished lecture, delivered in Atlanta, 1975, W.R. Knorr reflects on historical method, its sensitivity to modern work, both in mathematics and in the philosophy of mathematics. Three examples taken from the work of Tannery, Hasse, Scholz and Becker and concerning the study of pre-euclidean geometry are discussed: the mis-described discovery of irrational ‘numbers’, the alleged foundations crisis in the 5th century B.C. and the problem of constructibility.
The Influence of Abaci on the Chinese and Japanese Mathematics.
The influence of António A. Ribeiro Monteiro in the development of Mathematics in Brazil
The Japanese contributions to martingale theory.
The Jordan Curve Theorem Revisited.
The Kantorovich metric: the initial history and little-known applications.
The Kaṭapayādi system of numerical notation and its spread outside Kerala
While the study of the transmission of scientific ideas from and to India has its own importance, it is also necessary to examine the transmission of ideas within India, from one region to another, from Sanskrit to regional languages and vice versa. This paper attempts to map the spread of the Kaṭapayādi system of numerical notation, widely popular in Kerala, to other parts of India, and shows that this very useful tool of mathematical notation, though well known in northern India, was rarely employed...
The L. Kronecker-G. Cantor's controversy about infinite.
The late Professor Karel Rektorys
The Lehmus inequality.