Article ID: CBB174947474

Vitali’s generalized absolute differential calculus (2022)

unapi

The paper provides an analysis of Giuseppe Vitali’s contributions to differential geometry over the period 1923–1932. In particular, Vitali’s ambitious project of elaborating a generalized differential calculus regarded as an extension of Ricci-Curbastro tensor calculus is discussed in some detail. Special attention is paid to describing the origin of Vitali’s calculus within the context of Ernesto Pascal’s theory of forms and to providing an analysis of the process leading to a fully general notion of covariant derivative. Finally, the reception of Vitali’s theory is discussed in light of Enea Bortolotti and Enrico Bompiani’s subsequent works.

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https://data.isiscb.org/isis/citation/CBB174947474/

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Authors & Contributors
McCoy, C. D.
Augusto J. Franco Oliveira
McCullough-Benner, Colin
Andrea Colombo
Welsh, Whitney Elizabeth
Verburgt, Lukas M.
Concepts
Philosophy of mathematics
Mathematics
Geometry
Calculus
Infinitesimals
Logic
Time Periods
20th century, early
19th century
17th century
20th century
Early modern
Modern
Places
France
Italy
Germany
Great Britain
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