Introduction to Boolean Algebras PDF Download
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Author: Steven Givant
Publisher: Springer Science & Business Media
ISBN: 0387684360
Category : Mathematics
Languages : en
Pages : 589
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Book Description
This book is an informal though systematic series of lectures on Boolean algebras. It contains background chapters on topology and continuous functions and includes hundreds of exercises as well as a solutions manual.
Author: Steven Givant
Publisher: Springer Science & Business Media
ISBN: 0387684360
Category : Mathematics
Languages : en
Pages : 589
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Book Description
This book is an informal though systematic series of lectures on Boolean algebras. It contains background chapters on topology and continuous functions and includes hundreds of exercises as well as a solutions manual.
Author: Paul R. Halmos
Publisher: Courier Dover Publications
ISBN: 0486834573
Category : Mathematics
Languages : en
Pages : 160
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Book Description
Concise and informal as well as systematic, this presentation on the basics of Boolean algebra has ranked among the fundamental books on the subject since its initial publication in 1963.
Author: Bradford Henry Arnold
Publisher: Courier Corporation
ISBN: 0486483851
Category : Mathematics
Languages : en
Pages : 163
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Book Description
Orignally published: Englewood Cliffs, N.J.: Prentice-Hall, 1962.
Author: Frank Markham Brown
Publisher: Courier Corporation
ISBN: 0486164594
Category : Mathematics
Languages : en
Pages : 308
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Book Description
Concise text begins with overview of elementary mathematical concepts and outlines theory of Boolean algebras; defines operators for elimination, division, and expansion; covers syllogistic reasoning, solution of Boolean equations, functional deduction. 1990 edition.
Author: J. Donald Monk
Publisher: Springer Science & Business Media
ISBN: 3034603347
Category : Mathematics
Languages : en
Pages : 308
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Book Description
This text covers cardinal number valued functions defined for any Boolean algebra such as cellularity. It explores the behavior of these functions under algebraic operations such as products, free products, ultraproducts and their relationships to each other.
Author: Roman Sikorski
Publisher: Springer Science & Business Media
ISBN: 3642858201
Category : Mathematics
Languages : en
Pages : 248
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Book Description
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.
Author: Khanna, Vijay K.
Publisher: Vikas Publishing House
ISBN: 9788125916536
Category : Mathematics
Languages : en
Pages : 172
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Book Description
This book is primarily designed for senior UG students wishing to pursue a course in Lattices/ Boolean Algebra, and those desirous of using lattice-theoretic concepts in their higher studies. Theoretical discussions amply illustrated by numerous examples and worked-out problems. Hints and solutions to select exercises added to the text as further help.
Author: Ranganathan Padmanabhan
Publisher: World Scientific
ISBN: 9812834540
Category : Mathematics
Languages : en
Pages : 229
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Book Description
The importance of equational axioms emerged initially with the axiomatic approach to Boolean algebras, groups, and rings, and later in lattices. This unique research monograph systematically presents minimal equational axiom-systems for various lattice-related algebras, regardless of whether they are given in terms of ?join and meet? or other types of operations such as ternary operations. Each of the axiom-systems is coded in a handy way so that it is easy to follow the natural connection among the various axioms and to understand how to combine them to form new axiom systems. A new topic in this book is the characterization of Boolean algebras within the class of all uniquely complemented lattices. Here, the celebrated problem of E V Huntington is addressed, which ? according to G Gratzer, a leading expert in modern lattice theory ? is one of the two problems that shaped a century of research in lattice theory. Among other things, it is shown that there are infinitely many non-modular lattice identities that force a uniquely complemented lattice to be Boolean, thus providing several new axiom systems for Boolean algebras within the class of all uniquely complemented lattices. Finally, a few related lines of research are sketched, in the form of appendices, including one by Dr Willian McCune of the University of New Mexico, on applications of modern theorem-proving to the equational theory of lattices.
Author: Steven Givant
Publisher: Springer Science & Business Media
ISBN: 0387402934
Category : Mathematics
Languages : en
Pages : 589
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Book Description
This book is an informal though systematic series of lectures on Boolean algebras. It contains background chapters on topology and continuous functions and includes hundreds of exercises as well as a solutions manual.
Author: Elliott Mendelson
Publisher: McGraw Hill Professional
ISBN: 9780070414600
Category : Juvenile Nonfiction
Languages : en
Pages : 226
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Book Description
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