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Boolean Valued Analysis (Paperback, Softcover reprint of the original 1st ed. 1999) Loot Price: R3,385
Discovery Miles 33 850
Boolean Valued Analysis (Paperback, Softcover reprint of the original 1st ed. 1999): A. G. Kusraev, Semen Samsonovich...

Boolean Valued Analysis (Paperback, Softcover reprint of the original 1st ed. 1999)

A. G. Kusraev, Semen Samsonovich Kutateladze

Series: Mathematics and Its Applications, 494

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Loot Price R3,385 Discovery Miles 33 850 | Repayment Terms: R317 pm x 12*

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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.

General

Imprint: Springer
Country of origin: Netherlands
Series: Mathematics and Its Applications, 494
Release date: October 2012
First published: 1999
Authors: A. G. Kusraev • Semen Samsonovich Kutateladze
Dimensions: 240 x 160 x 18mm (L x W x T)
Format: Paperback
Pages: 332
Edition: Softcover reprint of the original 1st ed. 1999
ISBN-13: 978-9401059084
Categories: Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations
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LSN: 940105908X
Barcode: 9789401059084

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