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Synopsis
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.
"synopsis" may belong to another edition of this title.
- PublisherSpringer
- Publication date1999
- ISBN 10 0792359216
- ISBN 13 9780792359210
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages336
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Boolean Valued Analysis
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SPRINGER NATURE Aug 1999, 1999
ISBN 10: 0792359216
ISBN 13: 9780792359210
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Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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Buch. Condition: 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. Seller Inventory # 9780792359210
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Boolean Valued Analysis
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Buch. Condition: 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. Seller Inventory # 9780792359210
Quantity: 2 available
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Boolean Valued Analysis
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Kluwer Academic Publishers, 1999
ISBN 10: 0792359216
ISBN 13: 9780792359210
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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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Boolean Valued Analysis
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Boolean Valued Analysis (Mathematics and Its Applications)
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hardcover. Condition: New. In shrink wrap. Looks like an interesting title! Seller Inventory # Q-0792359216
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