Nonstandard Analysis, Axiomatically

Name: Nonstandard Analysis, Axiomatically
Brand: Springer, Berlin
SKU: 9783540222439
Price: 551.23 RON
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Autor: V. Kanovei, M. Reeken

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Legare: Copertă tare

Editura: Springer, Berlin

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

Informații despre carte

Autor

V. Kanovei, M. Reeken

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2004

Pagini

410

EAN

9783540222439

ISBN

354022243X

Enbook ID

01559507

Editura

Springer, Berlin

Greutate

774

Dimensiuni

155 x 235 x 23

Descriere completă

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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