How to Measure the Infinite

DOI10.1142/7081zbMath1429.26001OpenAlexW2776092266MaRDI QIDQ3005888

Vieri Benci, Mauro Di Nasso

Publication date: 10 June 2011

Full work available at URL: https://doi.org/10.1142/7081

zbMATH Keywords

calculusseriesinfinitenon-Archimedean fieldnumerosityalpha-theoryalpha-calculusinfinitesimal numberalpha-limitnonstandard mathematical analysis

Mathematics Subject Classification ID

Probability distributions: general theory (60E05) Consistency and independence results (03E35) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Nonstandard measure theory (28E05) Nonstandard analysis (26E35) Research exposition (monographs, survey articles) pertaining to real functions (26-02) Nonstandard topology (54J05)

Related Items (6)

BOLZANO’S MATHEMATICAL INFINITE ⋮ Non-standard analysis revisited: an easy axiomatic presentation oriented towards numerical applications ⋮ Some applications of numerosities in measure theory ⋮ Unnamed Item ⋮ The algorithmic numbers in non-Archimedean numerical computing environments ⋮ An improved setting for generalized functions: fine ultrafunctions

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