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I MODELLI MATEMATICI COSTRUITI PER L’INSEGNAMENTO DELLE MATEMATICHE SUPERIORI PURE E APPLICATE
Get PDFIn this paper, we want to document the history of the models of mathematical surfaces used for the didactics of pure and applied “High Mathematics”, in Italy and in Europe. These models were built between the second half of nineteenth century and the 1930s. We want here also to underline several important links that put in correspondence conception and construction of models with scholars, cultural institutes, specific views of research and didactical studies in mathematical sciences and with the world of the figurative arts furthermore, by using short descriptions and opportune examples
Studi liceali di matematici ebrei nella Mantova del tardo Ottocento
Get PDFGino Fano, Aldo Finzi, Gino Loria, Cesare Rimini, Adolfo Viterbi and Giulio Vivanti are six remarkable Mantuan Jewish mathematicians. This paper deals with their good high-school education received in Mantua before their university studies, in the second half of the nineteenth century
Notizie sulla vita e sulle opere di ‘Gioseffo Mari’ matematico e idraulico nella Mantova del Settecento
Get PDFWe have illustrated same unpublished documents, about life and works of Giuseppe Mari, best known as ‘Gioseffo Mari’. He was a very famous mathematician and hydraulician in Mantua during the second half of the seventh century and he had important charges on the management of the mantuan waters
Existence and Policy Effectiveness in Feedback Nash LQ-Games
Get PDFThis paper illustrates how the classical theory of economic policy can profitably be used to verify some properties of the Linear Nash Feedback Equilibrium in difference LQ-games. In particular, we find that both a necessary condition for the equilibrium existence and a sufficient condition for policy ineffectiveness can be defined in the terms of the simple Tinbergen counting rule
Logica fuzzy e calcolo delle probabilità: due facce della stessa medaglia?
Get PDFIl seguente articolo illustra le possibili analogie e differenze trail calcolo delle probabilità e la logica fuzzy. In particolare, sono messia confronto gli insiemi tradizionali con quelli fuzzy in base allemolteplici definizioni che si possono attribuire alla probabilità di unevento
LA GEOMETRIA NON-ARCHIMEDEA. DALLE PREMESSE AGLI INFINITI MODELLI ATTUALI
Get PDFLa geometria non-archimedea sembra essere un’ipotesi astratta e fantasiosa, accettabile nella matematica ma non per la rappresentazione spaziale, perché usa concetti a lungo esplorati nel pensiero scientifico e filosofico e spesso rigettati, quali l’infinito e l’infinitesimo attuali. L’articolo analizza gli aspetti storici, epistemologici, filosofici e matematici legati a questa geometria ed alle sue radici, considerando l’impostazione dell’inventore Giuseppe Veronese, della formalizzazione analitica di Levi-Civita e di altri matematici e filosofici che sul tema hanno fornito risultati e dibattuto, quali Cantor, Hilbert e Hahn, per terminare con gli infiniti modelli che oggi conosciamo. Questa geometria appare sottovalutata, ma si presta ad un ruolo non meno importante di alcune alternative non-euclidee, spesso semplicisticamente considerate come uniche varianti astratte dei modelli euclideo e riemanniano
Euclid and the scientific thought in the third century B.C.
Get PDFThe criticism on the texts of Euclid, even assuming different positions, starts generally from the previous assumption that the author of the Elements is totally inside the Platonic-Aristotelian tradition. The thesis affirmed in this paper is that many of the gaps and contradictions found by the criticism have their root in this assumption. The authors assert that Euclid was a scientist that belonged in a full way to the new cultural climate of the Hellenistic Kingdoms, and particularly of the Alexandria’s Museum. In this climate, characterized by lively philosophical disputes, the scientists, and in particular Euclid, tend to obtain coherent and stable results, voluntarily omitting to give their opinion on the real being of the scientificobject and on the truth of the principles