Benci, Vieri (Author)
Freguglia, Paolo (Author)
Carocci Editore
Physical Details: 208 pp.
Language: Italian
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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