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portada boolean algebras in analysis
Type
Physical Book
Publisher
Year
2010
Language
English
Pages
604
Format
Paperback
Dimensions
23.4 x 15.6 x 3.2 cm
Weight
0.87 kg.
ISBN
904815961x
ISBN13
9789048159611

boolean algebras in analysis

D. A. Vladimirov (Author) · Springer · Paperback

boolean algebras in analysis - Vladimirov, D. A.

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Synopsis "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.

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