Книга Nonstandard Analysis, Axiomatically

Nonstandard Analysis, Axiomatically

Книги Математика

Автор:

Joan M. Aldous, Robin J. Wilson

Год издания: 2004

Формат: djvu

Издат.:

Springer

Страниц: 408

Размер: 8,3

ISBN: 354022243X

Язык: Английский

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Оценка:

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.

tata167

12 июня 2008

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