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Boolean Algebras in Analysis - D. A. Vladimirov
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ISBN: 9781402004803

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Boolean Algebras in Analysis Boolean algebras underlie many central constructions of analysis, logic, probability theory, and cybernetics. This book concentrates on the analytical aspects of their theory and application, which distinguishes it among other sources. Boolean Algebras in Analysis consists of two parts. The first concerns the general theory at the beginner's level. Presenting classical theorems, the book describes the topologies and uniform structures of Boolean algebras, the basics of complete Boolean algebras and their continuous homomorphisms, as well as lifting theory. The first part also includes an introductory chapter describing the elementary to the theory. The second part deals at a graduate level with the metric theory of Boolean algebras at a graduate level. The covered topics include measure algebras, their sub algebras, and groups of automorphisms. Ample room is allotted to the new classification theorems abstracting the celebrated counterparts by D.Maharam, A.H. Kolmogorov, and V.A.Rokhlin. Boolean Algebras in Analysis is an exceptional definitive source on Boolean algebra as applied to functional analysis and probability. It is intended for all who are interested in new and powerful tools for hard and soft mathematical analysis. Bücher / Fremdsprachige Bücher / Englische Bücher 978-1-4020-0480-3, Springer

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Boolean Algebras in Analysis - D. A. Vladimirov
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D. A. Vladimirov:
Boolean Algebras in Analysis - neues Buch

ISBN: 9781402004803

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Boolean algebras underlie many central constructions of analysis, logic, probability theory, and cybernetics. This book concentrates on the analytical aspects of their theory and application, which distinguishes it among other sources. Boolean Algebras in Analysis consists of two parts. The first concerns the general theory at the beginner´s level. Presenting classical theorems, the book describes the topologies and uniform structures of Boolean algebras, the basics of complete Boolean algebras and their continuous homomorphisms, as well as lifting theory. The first part also includes an introductory chapter describing the elementary to the theory. The second part deals at a graduate level with the metric theory of Boolean algebras at a graduate level. The covered topics include measure algebras, their sub algebras, and groups of automorphisms. Ample room is allotted to the new classification theorems abstracting the celebrated counterparts by D.Maharam, A.H. Kolmogorov, and V.A.Rokhlin. Boolean Algebras in Analysis is an exceptional definitive source on Boolean algebra as applied to functional analysis and probability. It is intended for all who are interested in new and powerful tools for hard and soft mathematical analysis. Boolean Algebras in Analysis Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer

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Boolean Algebras in Analysis - D. A. Vladimirov
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Boolean Algebras in Analysis - neues Buch

2002, ISBN: 140200480X

ID: 12652645816

[EAN: 9781402004803], Neubuch, [PU: Springer Mrz 2002], This item is printed on demand - Print on Demand Titel. Neuware - Boolean Algebras in Analysis consists of two parts. The first concerns the general theory at the beginner's level. Presenting classical theorems, the book describes the topologies and uniform structures of Boolean algebras, the basics of complete Boolean algebras and their continuous homomorphisms, as well as lifting theory. The first part also includes an introductory chapter describing the elementary to the theory. The second part deals at a graduate level with the metric theory of Boolean algebras at a graduate level. The covered topics include measure algebras, their sub algebras, and groups of automorphisms. Ample room is allotted to the new classification theorems abstracting the celebrated counterparts by D.Maharam, A.H. Kolmogorov, and V.A.Rokhlin. Boolean Algebras in Analysis is an exceptional definitive source on Boolean algebra as applied to functional analysis and probability. It is intended for all who are interested in new and powerful tools for hard and soft mathematical analysis. 632 pp. Englisch

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Boolean Algebras in Analysis - D.A. Vladimirov
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ISBN: 9781402004803

Hardback, [PU: Kluwer Academic Publishers], Boolean algebras underlie many central constructions of analysis, logic, probability theory, and cybernetics. This book focuses on the analytical aspects of their theory and application, which distinguishes it among other sources. It describes the topologies and uniform structures of Boolean algebras, and the basics of complete Boolean algebras., Functional Analysis & Transforms

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Boolean Algebras in Analysis - D.A. Vladimirov
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2002, ISBN: 9781402004803

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Details zum Buch
Boolean Algebras in Analysis

Boolean Algebras in Analysis consists of two parts. The first concerns the general theory at the beginner's level. Presenting classical theorems, the book describes the topologies and uniform structures of Boolean algebras, the basics of complete Boolean algebras and their continuous homomorphisms, as well as lifting theory. The first part also includes an introductory chapter describing the elementary to the theory. The second part deals at a graduate level with the metric theory of Boolean algebras at a graduate level. The covered topics include measure algebras, their sub algebras, and groups of automorphisms. Ample room is allotted to the new classification theorems abstracting the celebrated counterparts by D.Maharam, A.H. Kolmogorov, and V.A.Rokhlin. Boolean Algebras in Analysis is an exceptional definitive source on Boolean algebra as applied to functional analysis and probability. It is intended for all who are interested in new and powerful tools for hard and soft mathematical analysis. TOC:Foreword to the English Translation.- Denis Artem'evich Vladimirov (1929-1994).- Preface.- Introduction.- Part I: General Theory of Boolean Algebras. 0. Preliminaries on Boolean Algebras. 1. The Basic Apparatus. 2. Complete Boolean Algebras. 3. Representation of Boolean Algebras. 4. Topologies on Boolean Algebras. 5. Homomorphisms. 6. Vector Lattices and Boolean Algebras.- Part II: Metric Theory of Boolean Algebras. 7. Normed Boolean Algebras. 8. Existence of a Measure. 9. Structure of a Normed Boolean Algebra. 10. Independence. Appendices. Prerequisites to Set Theory and General Topology. 1. General remarks. 2. Partially ordered sets. 3. Topologies. Basics of Boolean Valued Analysis. 1. General remarks. 2. Boolean valued models. 3. Principles of Boolean valued analysis. 4. Ascending and descending.- References.- Index.

Detailangaben zum Buch - Boolean Algebras in Analysis


EAN (ISBN-13): 9781402004803
ISBN (ISBN-10): 140200480X
Gebundene Ausgabe
Erscheinungsjahr: 2002
Herausgeber: Springer-Verlag GmbH
632 Seiten
Gewicht: 1,099 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 06.06.2007 17:23:29
Buch zuletzt gefunden am 19.11.2016 13:50:32
ISBN/EAN: 140200480X

ISBN - alternative Schreibweisen:
1-4020-0480-X, 978-1-4020-0480-3


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