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Boolean Algebras in Analysis, D.A. Vladimirov


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Автор: D.A. Vladimirov
Название:  Boolean Algebras in Analysis
ISBN: 9789048159611
Издательство: Springer
Классификация: ISBN-10: 904815961X
Обложка/Формат: Paperback
Страницы: 604
Вес: 0.87 кг.
Дата издания: 05.12.2010
Серия: Mathematics and Its Applications
Язык: English
Размер: 234 x 156 x 32
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание:

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 beginners 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.



Schaum`s outline of Boolean algebra and switching circuits

Автор: Mendelson, Elliot,
Название: Schaum`s outline of Boolean algebra and switching circuits
ISBN: 0070414602 ISBN-13(EAN): 9780070414600
Издательство: McGraw-Hill
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Цена: 6570.00 T
Наличие на складе: Есть
Описание: Schaum`s Outlines present all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.

Introduction to Boolean Algebras

Автор: Steven Givant; Paul Halmos
Название: Introduction to Boolean Algebras
ISBN: 0387402934 ISBN-13(EAN): 9780387402932
Издательство: Springer
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Цена: 40010.00 T
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Описание: Suitable for advanced undergraduates and beginning graduate students, this book treats Boolean algebras, develops some ideas, and provides insights. It includes explanation of the relationship between Boolean rings and Boolean algebras. It features chapters on topology and on continuous functions.

Cardinal Functions on Boolean Algebras

Автор: MONK
Название: Cardinal Functions on Boolean Algebras
ISBN: 3764324953 ISBN-13(EAN): 9783764324957
Издательство: Springer
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Цена: 74530.00 T
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Lectures on Boolean Algebras

Автор: Steven Givant; P.R. Halmos
Название: Lectures on Boolean Algebras
ISBN: 0387900942 ISBN-13(EAN): 9780387900940
Издательство: Springer
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Цена: 74490.00 T
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Boolean Constructions in Universal Algebras

Автор: A.G. Pinus
Название: Boolean Constructions in Universal Algebras
ISBN: 0792321170 ISBN-13(EAN): 9780792321170
Издательство: Springer
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Цена: 102480.00 T
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Описание: Examines the fundamentals of the theory of Boolean construction in universal algebra. This text explores the problems of presenting different varieties of universal algebras with these constructions, and applications for investigating the spectra and skeletons of varieties of universal algebras.

Duality Theories for Boolean Algebras with Operators

Автор: Steven Givant
Название: Duality Theories for Boolean Algebras with Operators
ISBN: 3319350269 ISBN-13(EAN): 9783319350264
Издательство: Springer
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Цена: 79190.00 T
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Описание: In this new text, Steven Givant-the author of several acclaimed books, including works co-authored with Paul Halmos and Alfred Tarski-develops three theories of duality for Boolean algebras with operators.

Duality Theories for Boolean Algebras with Operators

Автор: Steven Givant
Название: Duality Theories for Boolean Algebras with Operators
ISBN: 3319067427 ISBN-13(EAN): 9783319067421
Издательство: Springer
Рейтинг:
Цена: 93160.00 T
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Описание: In this new text, Steven Givant-the author of several acclaimed books, including works co-authored with Paul Halmos and Alfred Tarski-develops three theories of duality for Boolean algebras with operators.

Boolean Algebras

Автор: Roman Sikorski
Название: Boolean Algebras
ISBN: 3642858228 ISBN-13(EAN): 9783642858222
Издательство: Springer
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Цена: 46570.00 T
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Описание: There are two aspects to the theory of Boolean algebras; the algebraic and the set-theoretical. A Boolean algebra can be considered as a special kind of algebraic ring, or as a generalization of the set-theoretical notion of a field of sets. Fundamental theorems in both of these directions are due to M.

H. STONE, whose papers have opened a new era in the develop ment of this theory. This work treats the set-theoretical aspect, with little mention being made of the algebraic one.

The book is composed of two chapters and an appendix. Chapter I is devoted to the study of Boolean algebras from the point of view of finite Boolean operations only; a greater part of its contents can be found in the books of BIRKHOFF [2J and HERMES [1]. Chapter II seems to be the first systematic study of Boolean algebras with infinite Boolean operations.

To understand Chapters I and II it suffices only to know fundamental notions from general set theory and set-theoretical topology. No know ledge of lattice theory or of abstract algebra is presumed. Less familiar topological theorems are recalled, and only a few examples use more advanced topological means; but these may be omitted.

All theorems in both chapters are given with full proofs.


Boolean Constructions in Universal Algebras

Автор: A.G. Pinus
Название: Boolean Constructions in Universal Algebras
ISBN: 9048142393 ISBN-13(EAN): 9789048142392
Издательство: Springer
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Цена: 130430.00 T
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Cardinal Invariants on Boolean Algebras

Автор: Monk J. Donald
Название: Cardinal Invariants on Boolean Algebras
ISBN: 3034807295 ISBN-13(EAN): 9783034807296
Издательство: Springer
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Цена: 101550.00 T
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Описание: Along with almost 200 fascinating open problems, this updated edition covers most of what we know about Boolean cardinal invariants, and includes detailed studies of 21 cardinal number valued functions such as cellularity, defined for any Boolean algebra.

Nearly Projective Boolean Algebras

Автор: S. Fuchino; Lutz Heindorf; Leonid B. Shapiro
Название: Nearly Projective Boolean Algebras
ISBN: 354058787X ISBN-13(EAN): 9783540587873
Издательство: Springer
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Цена: 41920.00 T
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Описание: The book is a fairly complete and up-to-date survey of projectivity and its generalizations in the class of Boolean algebras. Although algebra adds its own methods and questions, many of the results presented were first proved by topologists in the more general setting of (not necessarily zero-dimensional) compact spaces.

Analysis of Boolean Functions

Автор: O`Donnell
Название: Analysis of Boolean Functions
ISBN: 1107038324 ISBN-13(EAN): 9781107038325
Издательство: Cambridge Academ
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Цена: 76030.00 T
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Описание: This graduate-level text gives a thorough overview of the field, beginning with the most basic definitions and proceeding to advanced topics such as hypercontractivity and isoperimetry. Each chapter includes a `highlight application` such as Arrow`s theorem, the Goldreich-Levin algorithm, hardness of approximation, and `sharp threshold` theorems for random graphs.


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