Benci, Vieri (Author)
Freguglia, Paolo (Author)
Questo libro propone un’analisi dell’infinito in matematica sia dal punto di vista storico che da quello teorico. Relativamente al primo, vengono esposti alcuni fondamentali risultati classici che riguardano i numeri e le grandezze, soffermandosi in particolare sull'incommensurabilità – che è tra i temi più significativi della storia della matematica – e sviluppando poi la trattazione sino a tempi a noi più vicini. Dal punto di vista teorico, invece, vengono illustrati risultati e teorie attuali relativi alla matematica non archimedea, cioè all'uso dei numeri infiniti e infinitesimi. [Abstract translated by Google Translate: This is the abstract in English… This book offers an analysis of infinity in mathematics both from a historical and a theoretical point of view. With respect to the former, some fundamental classical results concerning numbers and sizes are exposed, focusing in particular on the incommensurability - which is among the most significant themes in the history of mathematics - and then developing the discussion up to our closest times. From the theoretical point of view, instead, present results and theories related to non-Archimedean mathematics, i.e. to the use of infinite and infinitesimal numbers, are illustrated.]
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