Boolean Valued Analysis

Name: Boolean Valued Analysis
Brand: Springer Netherlands
SKU: 9780792359210
Price: 131.91 EUR
Availability: InStock

Автор: A.G. Kusraev, S.S. Kutateladze

Език:

Корици: С твърди корици

Издател: Springer Netherlands

Наличност: Външен склад

Изпращаме след 10-18 дни

131.91 € 257.98 лв

Boolean valued analysis is a technique for studying properties of an arbitrary mathematical object b...

Информация за книгата

Автор

A.G. Kusraev, S.S. Kutateladze

Език

Английски език

Корици

Книга - С твърди корици

Издадена

1999

страници

322

EAN

9780792359210

Enbook ID

01396159

Издател

Springer Netherlands

Теглоt

688

Размери

168 x 247 x 25

Пълно описание

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.

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Boolean Valued Analysis

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Пълно описание

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