Item description for Nonstandard Analysis, Axiomatically (Springer Monographs in Mathematics) by Vladimir Kanovei...
The book is devoted to nonstandard set theories that serve as foundational basis for nonstandard mathematics. Several popular and some less known nonstandard theories are considered, including internal set theory IST, Hrbacek set theory HST, and others. The book presents the basic structure of the set universe of these theories and methods to effectively develop "applied" nonstandard analysis, metamathematical properties and interrelations of these nonstandard theories between each other and with ZFC and some variants of ZFC, foundational problems of the theories, including the problem of external sets and the Power Set problem, and methods of their solution.The book is oriented towards a reader having some experience in foundations (set theory, model theory) and in nonstandard analysis.
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Est. Packaging Dimensions: Length: 9.4" Width: 6.4" Height: 1.2" Weight: 1.65 lbs.
Release Date Oct 5, 2004
ISBN 354022243X ISBN13 9783540222439
Availability 76 units. Availability accurate as of Oct 25, 2016 10:27.
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More About Vladimir Kanovei
Vladimir Kanovei is a mathematician working in descriptive set theory and non-standard analysis. He is Leading Researcher in the Institute for Information Transmission Problems (IITP), Moscow, and Professor at Moscow State University of Railway Engineering (MIIT).
Vladimir Kanovei has an academic affiliation as follows - Russian Academy of Sciences, Moscow.