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.
Product Identifiers
Publisher
Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
ISBN-13
9783642060779
eBay Product ID (ePID)
178322795
Product Key Features
Author
Michael Reeken, Vladimir Kanovei
Publication Name
Nonstandard Analysis, Axiomatically
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2010
Type
Textbook
Number of Pages
410 Pages
Dimensions
Item Height
235mm
Item Width
155mm
Item Weight
652g
Additional Product Features
Title_Author
Michael Reeken, Vladimir Kanovei
Series Title
Springer Monographs in Mathematics
Country/Region of Manufacture
Germany
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