Article ID: CBB488059395

Similarities and differences between some of the integrals of the 20th century (2023)

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In A Half-Century of Mathematics written in 1951, Hermann Weyl aims to account for the mathematics of the first half of the twentieth century. Regarding Lebesgue's integral and measure theory he stares that: "I must mention the, in all probability final, form given to the idea of integration by Lebesgue at the beginning of our century." However, there exist over a hundred integrals to date so Weyl's comment regarding the final form of the integral seems rather stringent. Our goal here is to compare two integrals in particular, Denjoy’s and Daniell’s, and to analyse the conceptual change that took place after the introduction of Lebesgue's integral that made them possible

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Article Vincent Jullien; Carmen Martínez-Adame (2023) Foreward. Almagest (pp. 6-14). unapi

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Authors & Contributors
Moore, Gregory H.
Ageron, Pierre
Archibald, Tom
Aubin, David
Auvinet, Jérôme
Biacino, Loredana
Journals
Historia Mathematica
Archive for History of Exact Sciences
Revue d'Histoire des Mathématiques
Archives Internationales d'Histoire des Sciences
Bollettino di Storia delle Scienze Matematiche
Centaurus: International Magazine of the History of Mathematics, Science, and Technology
Publishers
Société Mathématique de France
Hermann
Mimesis
Princeton University Press
Université de Montréal (Canada)
Concepts
Mathematics
Calculus
Set theory
Philosophy of mathematics
Controversies and disputes
Historiography
People
Lebesgue, Henri
Denjoy, Arnaud
Cauchy, Augustin Louis
Poincaré, Jules Henri
Riemann, Georg Friedrich Bernhard
Vitali, Giuseppe
Time Periods
20th century
19th century
20th century, early
17th century
Places
France
Europe
Institutions
Académie de Médecine, Paris
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