Book ID: CBB436831674

La matematica e l'infinito: Storia e attualità di un problema (2019)

unapi

Benci, Vieri (Author)
Freguglia, Paolo (Author)


Carocci Editore


Publication Date: 2019
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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Authors & Contributors
Katz, Mikhail G.
Zellini, Paolo
Mormann, Thomas
Błaszczyk, Piotr
Bair, Jacques
Ely, Robert
Journals
Foundations of Science
Llull: Revista de la Sociedad Española de Historia de las Ciencias y de las Técnicas
British Journal for the History of Mathematics
Science and Education
HOPOS
History and Philosophy of Logic
Publishers
Adelphi
Città del Silenzio
Walter de Gruyter
UTET
Carocci Editore
Concepts
Mathematics
Infinitesimals
Philosophy of mathematics
Calculus
Philosophy
Numbers
People
Leibniz, Gottfried Wilhelm von
Newton, Isaac
Weierstrass, Karl Theodor
Wallis, John
Nieuwentijt, Bernard
Hobbes, Thomas
Time Periods
17th century
20th century, late
20th century, early
19th century
18th century
Early modern
Places
Germany
France
Europe
China
Mesopotamia
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