Boolean Algebras in Analysis

Name: Boolean Algebras in Analysis
Brand: Springer Netherlands
SKU: 9789048159611
Price: 1151.91 RON
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Autor: D. A. Vladimirov

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Editura: Springer Netherlands

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Boolean algebras underlie many central constructions of analysis, logic, probability theory, and cyb...

Informații despre carte

Autor

D. A. Vladimirov

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2010

Pagini

604

EAN

9789048159611

ISBN

904815961X

Enbook ID

02109875

Editura

Springer Netherlands

Greutate

955

Dimensiuni

160 x 240 x 32

Descriere completă

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 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.

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