Articoli correlati a Boolean Valued Analysis: v. 494
Sinossi
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 new tools, and for model theorists in search of challenging applications of nonstandard models.
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Contenuti
Foreword to the English Translation. Preface. 1. Universes of Sets. 2. Boolean Valued Universes. 3. Functors of Boolean Valued Analysis. 4. Boolean Valued Analysis of Algebraic Systems. 5. Boolean Valued Analysis of Banach Spaces. 6. Boolean Valued Analysis of Banach Algebras. Appendix. References. Subject Index.
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Boolean Valued Analysis
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. 348 pp. Englisch. Codice articolo 9780792359210
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Codice articolo 9780792359210
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Boolean Valued Analysis (Mathematics and Its Applications)
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Boolean Valued Analysis
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Springer Netherlands|Springer, Berlin, 1999
ISBN 10: 0792359216
ISBN 13: 9780792359210
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Gebunden. Condizione: New. 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 model. Codice articolo 898698812
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Hardback. Condizione: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days 733. Codice articolo C9780792359210
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Boolean Valued Analysis
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Hardcover. Condizione: Brand New. 322 pages. 9.25x6.25x1.00 inches. In Stock. Codice articolo x-0792359216
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Boolean Valued Analysis (Mathematics and Its Applications)
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hardcover. Condizione: New. In shrink wrap. Looks like an interesting title! Codice articolo Q-0792359216
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