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Nonstandard Analysis, Axiomatically

Language EnglishEnglish
Book Hardback
Book Nonstandard Analysis, Axiomatically V. Kanovei
Libristo code: 01559507
Publishers Springer, Berlin, November 2003
The book is devoted to nonstandard set theories that serve as foundational basis for nonstandard mat... Full description
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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.

About the book

Full name Nonstandard Analysis, Axiomatically
Author V. Kanovei, M. Reeken
Language English
Binding Book - Hardback
Date of issue 2004
Number of pages 410
EAN 9783540222439
ISBN 354022243X
Libristo code 01559507
Publishers Springer, Berlin
Weight 774
Dimensions 155 x 235 x 23

Categories

Mathematics & Science > Mathematics > Mathematical foundations > Mathematical logic
Mathematics & Science > Mathematics > Calculus & mathematical analysis > Calculus
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