Professor Michal Křížek, Editor-in-Chief of Applications of Mathematics, is sixty
MSC 2010: 26A33 Dedicated to Professor Rudolf Gorenflo on the occasion of his 80th anniversaryThis paper presents a brief overview of the life story and professional career of Prof. R. Gorenflo - a well-known mathematician, an expert in the field of Differential and Integral Equations, Numerical Mathematics, Fractional Calculus and Applied Analysis, an interesting conversational partner, an experienced colleague, and a real friend. Especially his role in the modern Fractional Calculus and its applications...
V článku přiblížíme jeden téměř zapomenutý rukopis komentářů ke knize Euklids Elemente, die ersten vier Bücher z roku 1807, který vznikl v první třetině 19. století buď na německém premonstrátském gymnáziu v Plzni, nebo v klášteře premonstrátů v Teplé a byl patrně spjat s výukou geometrie. Uvedeme základní informaci o životě a díle majitele této knihy a snad i autora komentářů a provedeme stručnou analýzu obsahu tohoto rukopisu.
This paper discusses from a historical standpoint the incomplete reasoning of Book I proposition 9 of Archimedes' On the sphere and cylinder and gives a proof, which only uses means available to Archimedes himself. This paper also discusses some demonstrations which, through the centuries, have been proposed to solve this problem. One of these is the previously unpublished proof by Jakob I Bernoulli, which is here reported, recently discovered at the Universitätsbibliothek of Basel.