Cogliati, Alberto (Author)
Plus, Pisa University Press
Physical Details: 314 pp.
Language: Italian
La geometria differenziale ha assunto negli anni un ruolo notevole nella formazione di matematici e fisici, delineandosi al contempo come una raffi nata teoria matematica e uno strumento indispensabile per la formulazione di teorie fisiche fondamentali. Questa monografia si propone di off rire una introduzione alla storia della disciplina, nell’arco temporale dei 150 anni compresi fra la pubblicazione di un lavoro di Euler sulla nozione di curvatura delle superfi ci e la celebre memoria di Levi-Civita sulla nozione di parallelismo. La trattazione si pone, tra gli altri, l’obiettivo di rendere conto dei procedimenti euristici e delle strategie dimostrative adottate dai vari autori analizzati. [Abstract translated by DeepL.com/Translator: This is the abstract in English… Over the years, differential geometry has assumed a remarkable role in the education of mathematicians and physicists, delineating itself at once as a refined mathematical theory and an indispensable tool for the formulation of fundamental phyisical theories. This monograph aims to offer an introduction to the history of the discipline, in the 150-year time span between the publication of a work by Euler on the notion of surface curvature and Levi-Civita's famous memoir on the notion of parallelism. The discussion aims, among others, to account for the heuristic procedures and demonstrative strategies adopted by the various authors analyzed.]
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