A partir et autour de Wiener
A perspective on the contributions of Alan C. Lazer to critical point theory.
A philatelic excursion with Jeff Hunter in probability and matrix theory.
A preface to the reader
A Programmatic Note: on two Types of Intertextuality
The note addresses briefly some reactions to a previous article “Deuteronomic Texts: Late Antiquity and the History of Mathematics”. In particular it looks at the question: if indeed any text must depend on previous texts, what makes the dependency of commentary and commentary-like text so special to justify my emphasis on this form of writing ? A suggestion is developed, trying to define Deuteronomic texts through their precise semiotics of intertextuality: in general, it is argued, intertextuality...
À propos d'une lettre de Poincaré à Couturat
A recovery of Brouncker's proof for the quadrature continued fraction.
350 years ago in Spring of 1655 Sir William Brouncker on a request by John Wallis obtained a beautiful continued fraction for 4/π. Brouncker never published his proof. Many sources on the history of Mathematics claim that this proof was lost forever. In this paper we recover the original proof from Wallis' remarks presented in his Arithmetica Infinitorum. We show that Brouncker's and Wallis' formulas can be extended to MacLaurin's sinusoidal spirals via related Euler's products. We derive Ramanujan's...
A reminiscence about shortest spanning subtrees
A retrospective on the studies of mathematics at the University of Zulia.
A Review of the History of Japanese Mathematics
This review aims to introduce Japanese mathematics to a non-expert and a non-Japanese readership. It briefly characterizes mathematics in Japan, surveys its history, as it developed over the last century, and provides a large (if not exhaustive) bibliography of works in the primary European languages.
A short account of the history of mathematics [Book]
A short proof of an identity of Sylvester.
A short proof of Fermat's two-square theorem given by János Bolyai.
A Survey of Counterexamples to Hilbert's Fourteenth Problem
We survey counterexamples to Hilbert’s Fourteenth Problem, beginning with those of Nagata in the late 1950s, and including recent counterexamples in low dimension constructed with locally nilpotent derivations. Historical framework and pertinent references are provided. We also include 8 important open questions.
A survey on the Szlenk index and some of its applications.
We describe how the Szlenk index has been used in various areas of the geometry of Banach spaces. We cover the following domains of application of this notion: non existence of universal spaces, linear classification of C(K) spaces, descriptive set theory, renorming problems and non linear classification of Banach spaces.
A survey on the Weierstrass approximation theorem.
A tree axiom.
A tribute to the philanthropist and geometer (the 90th anniversary of V. A. Zalgaller).
A. V. Šourek (1857-1926)
Abelova cena pro Aviho Wigdersona
Abelovu cenu za rok 2021 získali společně László Lovász a Avi Wigderson za zásadní přínos v teoretické informatice a diskrétní matematice. V tomto článku představíme čtenářům Aviho Wigdersona a jeho práci výběrem tří důležitých výsledků z jeho mnoha publikací.