A G Kusraev

(Author)

Boolean Valued Analysis (Softcover Reprint of the Original 1st 1999)Paperback - Softcover Reprint of the Original 1st 1999, 26 October 2012

Boolean Valued Analysis (Softcover Reprint of the Original 1st 1999)
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Part of Series
Mathematics and Its Applications
Part of Series
Mathematics and Its Applications (Closed)
Print Length
332 pages
Language
English
Publisher
Springer
Date Published
26 Oct 2012
ISBN-10
940105908X
ISBN-13
9789401059084

Description

Boolean valued analysis is a technique for studying properties of an arbitrary mathematical object by comparing its representations in two different set-theoretic models whose construction utilises principally distinct Boolean algebras. The use of two models for studying a single object is a characteristic of the so-called non-standard methods of analysis. Application of Boolean valued models to problems of analysis rests ultimately on the procedures of ascending and descending, the two natural functors acting between a new Boolean valued universe and the von Neumann universe.

This book demonstrates the main advantages of Boolean valued analysis which provides the tools for transforming, for example, function spaces to subsets of the reals, operators to functionals, and vector-functions to numerical mappings. Boolean valued representations of algebraic systems, Banach spaces, and involutive algebras are examined thoroughly.

Audience: This volume is intended for classical analysts seeking powerful new tools, and for model theorists in search of challenging applications of nonstandard models.

Product Details

Authors:
A G KusraevSemën Samsonovich Kutateladze
Book Edition:
Softcover Reprint of the Original 1st 1999
Book Format:
Paperback
Country of Origin:
NL
Date Published:
26 October 2012
Dimensions:
23.39 x 15.6 x 1.83 cm
ISBN-10:
940105908X
ISBN-13:
9789401059084
Language:
English
Location:
Dordrecht
Pages:
332
Publisher:
Weight:
485.34 gm

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