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Introduction to Boolean Algebras

Introduction to Boolean Algebras PDF Author: Steven Givant
Publisher: Springer Science & Business Media
ISBN: 0387402934
Category : Mathematics
Languages : en
Pages : 589

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.

Introduction to Boolean Algebras

Introduction to Boolean Algebras PDF Author: Steven Givant
Publisher: Springer Science & Business Media
ISBN: 0387402934
Category : Mathematics
Languages : en
Pages : 589

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.

Introduction to Boolean-Algebras

Introduction to Boolean-Algebras PDF Author: Philip Dwinger
Publisher: Physica
ISBN:
Category : Business & Economics
Languages : en
Pages : 86

Book Description


Lectures on Boolean Algebras

Lectures on Boolean Algebras PDF Author: Paul R. Halmos
Publisher: Courier Dover Publications
ISBN: 0486828042
Category : Mathematics
Languages : en
Pages : 163

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.

Introduction to Boolean Algebra and Logic Design

Introduction to Boolean Algebra and Logic Design PDF Author: Gerhard E. Hoernes
Publisher:
ISBN: 9780070291874
Category :
Languages : en
Pages : 306

Book Description


Introduction to Boolean Algebra and Logic Design

Introduction to Boolean Algebra and Logic Design PDF Author: Gerhard E. Hoernes
Publisher: McGraw-Hill Companies
ISBN:
Category : Algebra, Boolean
Languages : en
Pages : 330

Book Description


Introduction to Relation Algebras

Introduction to Relation Algebras PDF Author: Steven Givant
Publisher: Springer
ISBN: 3319652354
Category : Mathematics
Languages : en
Pages : 572

Book Description
The first volume of a pair that charts relation algebras from novice to expert level, this text offers a comprehensive grounding for readers new to the topic. Upon completing this introduction, mathematics students may delve into areas of active research by progressing to the second volume, Advanced Topics in Relation Algebras; computer scientists, philosophers, and beyond will be equipped to apply these tools in their own field. The careful presentation establishes first the arithmetic of relation algebras, providing ample motivation and examples, then proceeds primarily on the basis of algebraic constructions: subalgebras, homomorphisms, quotient algebras, and direct products. Each chapter ends with a historical section and a substantial number of exercises. The only formal prerequisite is a background in abstract algebra and some mathematical maturity, though the reader will also benefit from familiarity with Boolean algebra and naïve set theory. The measured pace and outstanding clarity are particularly suited to independent study, and provide an unparalleled opportunity to learn from one of the leading authorities in the field. Collecting, curating, and illuminating over 75 years of progress since Tarski's seminal work in 1941, this textbook in two volumes offers a landmark, unified treatment of the increasingly relevant field of relation algebras. Clear and insightful prose guides the reader through material previously only available in scattered, highly-technical journal articles. Students and experts alike will appreciate the work as both a textbook and invaluable reference for the community.

Introduction to Boolean Algebra and Logic Design

Introduction to Boolean Algebra and Logic Design PDF Author: Gerhard E.. Hoernes
Publisher:
ISBN:
Category :
Languages : en
Pages : 526

Book Description


A Boolean Algebra, Abstract and Concrete

A Boolean Algebra, Abstract and Concrete PDF Author: A. P. Bowran
Publisher: Palgrave
ISBN:
Category : Algebra
Languages : en
Pages : 112

Book Description


Advanced Topics in Relation Algebras

Advanced Topics in Relation Algebras PDF Author: Steven Givant
Publisher: Springer
ISBN: 3319659456
Category : Mathematics
Languages : en
Pages : 605

Book Description
The second volume of a pair that charts relation algebras from novice to expert level, this text brings the well-grounded reader to the frontiers of research. Building on the foundations established in the preceding Introduction to Relation Algebras, this volume advances the reader into the deeper mathematical results of the past few decades. Such material offers an ideal preparation for research in relation algebras and Boolean algebras with operators. Arranged in a modular fashion, this text offers the opportunity to explore any of several areas in detail; topics include canonical extensions, completions, representations, varieties, and atom structures. Each chapter offers a complete account of one such avenue of development, including a historical section and substantial number of exercises. The clarity of exposition and comprehensive nature of each module make this an ideal text for the independent reader entering the field, while researchers will value it as a reference for years to come. Collecting, curating, and illuminating over 75 years of progress since Tarski's seminal work in 1941, this textbook in two volumes offers a landmark, unified treatment of the increasingly relevant field of relation algebras. Clear and insightful prose guides the reader through material previously only available in scattered, highly-technical journal articles. Students and experts alike will appreciate the work as both a textbook and invaluable reference for the community. Note that this volume contains numerous, essential references to the previous volume, Introduction to Relation Algebras. The reader is strongly encouraged to secure at least electronic access to the first book in order to make use of the second.

Boolean Algebra

Boolean Algebra PDF Author: R. L. Goodstein
Publisher: Courier Corporation
ISBN: 0486458946
Category : Mathematics
Languages : en
Pages : 162

Book Description
Famous for the number-theoretic first-order statement known as Goodstein's theorem, author R. L. Goodstein was also well known as a distinguished educator. With this text, he offers an elementary treatment that employs Boolean algebra as a simple medium for introducing important concepts of modern algebra. The text begins with an informal introduction to the algebra of classes, exploring union, intersection, and complementation; the commutative, associative, and distributive laws; difference and symmetric difference; and Venn diagrams. Professor Goodstein proceeds to a detailed examination of three different axiomatizations, and an outline of a fourth system of axioms appears in the examples. The final chapter, on lattices, examines Boolean algebra in the setting of the theory of partial order. Numerous examples appear at the end of each chapter, with full solutions at the end.