What Is Nonstandard Analysis?
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Publication:3213364
DOI10.2307/3038221zbMath0268.26019OpenAlexW2315422085MaRDI QIDQ3213364
Publication date: 1973
Published in: The American Mathematical Monthly (Search for Journal in Brave)
Full work available at URL: https://semanticscholar.org/paper/720701d9fbe5f3677c936024e15120b3cbe9b7d3
Related Items (17)
Internal approach to external sets and universes. I: Bounded set theory ⋮ A definable nonstandard model of the reals ⋮ Tools, objects, and chimeras: Connes on the role of hyperreals in mathematics ⋮ Hidden lemmas in Euler's summation of the reciprocals of the squares ⋮ Internal approach to external sets and universes. II: External universes over the universe of bounded set theory ⋮ Pre‐Robinson approach to the theory of infinitesimals ⋮ Internal approach to external sets and universes. III. Partially saturated universes ⋮ Fermat-Reyes method in the ring of Fermat reals ⋮ First steps towards an equilibrium theory for Lévy financial markets ⋮ MINIMAL AXIOMATIC FRAMEWORKS FOR DEFINABLE HYPERREALS WITH TRANSFER ⋮ Regular probability comparisons imply the Banach-Tarski paradox ⋮ Euler's 1760 paper on divergent series ⋮ The existence of non-trivial bounded functionals implies the Hahn-Banach extension theorem ⋮ On a class of valuation fields introduced by A. Robinson ⋮ The relationship between measure-theoretic and non-standard exchange economies ⋮ The dual space of \(L_\infty\) is \(L_1\) ⋮ Developments in Constructive Nonstandard Analysis
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