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Nonstandard Analysis, Axiomatically

Name: Nonstandard Analysis, Axiomatically
Brand: Springer, Berlin
SKU: 01651368
Price: 90.79 EUR
Availability: InStock
Author: Vladimir Kanovei
ISBN: 9783642060779

Vladimir Kanovei

Michael Reeken

Language

English

Book Paperback

Libristo code: 01651368

Publishers Springer, Berlin, October 2010

The book is devoted to nonstandard set theories that serve as foundational basis for nonstandard mat... Full description

Libristo code: 01651368

222 b

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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.