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Technical Nonstandard Analysis, Axiomatically (Repost)

Posted on 2010-04-14




Name:Technical Nonstandard Analysis, Axiomatically (Repost)
ASIN/ISBN:354022243X
Publisher:Springer
Publish Date:edition 2004
Pages:408 pages
File size:24.6 Mb
Publisher: Springer
ISBN: 354022243X
Publish Date: edition 2004
File Type: PDF
Pages: 408 pages
File Size: 24,6 mb
   Technical Nonstandard Analysis, Axiomatically (Repost)

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Nonstandard Analysis, Axiomatically

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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