Lectures on Boolean Algebras
Lectures on Boolean Algebras

Author: Paul R. Halmos

Publisher: Courier Dover Publications

Published: 2018-09-12

Total Pages: 163

ISBN-13: 0486834573

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This presentation on the basics of Boolean algebra has ranked among the fundamental books on this important subject in mathematics and computing science since its initial publication in 1963. Concise and informal as well as systematic, the text draws upon lectures delivered by Professor Halmos at the University of Chicago to cover many topics in brief individual chapters. The approach is suitable for advanced undergraduates and graduate students in mathematics. Starting with Boolean rings and algebras, the treatment examines fields of sets, regular open sets, elementary relations, infinite operations, subalgebras, homomorphisms, free algebras, ideals and filters, and the homomorphism theorem. Additional topics include measure algebras, Boolean spaces, the representation theorem, duality for ideals and for homomorphisms, Boolean measure spaces, isomorphisms of factors, projective and injective algebras, and many other subjects. Several chapters conclude with stimulating exercises; the solutions are not included.

Introduction to Boolean Algebras
Introduction to Boolean Algebras

Author: Steven Givant

Publisher: Springer Science & Business Media

Published: 2008-12-10

Total Pages: 589

ISBN-13: 0387684360

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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.

Boolean Algebra and Its Applications
Boolean Algebra and Its Applications

Author: J. Eldon Whitesitt

Publisher: Courier Corporation

Published: 2012-05-24

Total Pages: 194

ISBN-13: 0486158160

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Introductory treatment begins with set theory and fundamentals of Boolean algebra, proceeding to concise accounts of applications to symbolic logic, switching circuits, relay circuits, binary arithmetic, and probability theory. 1961 edition.

Logic and Boolean Algebra
Logic and Boolean Algebra

Author: Bradford Henry Arnold

Publisher: Courier Corporation

Published: 2011-01-01

Total Pages: 163

ISBN-13: 0486483851

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Orignally published: Englewood Cliffs, N.J.: Prentice-Hall, 1962.

Logic as Algebra
Logic as Algebra

Author: Paul Halmos

Publisher: American Mathematical Soc.

Published: 2019-01-30

Total Pages: 153

ISBN-13: 1470451662

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Here is an introduction to modern logic that differs from others by treating logic from an algebraic perspective. What this means is that notions and results from logic become much easier to understand when seen from a familiar standpoint of algebra. The presentation, written in the engaging and provocative style that is the hallmark of Paul Halmos, from whose course the book is taken, is aimed at a broad audience, students, teachers and amateurs in mathematics, philosophy, computer science, linguistics and engineering; they all have to get to grips with logic at some stage. All that is needed.

Boolean Reasoning
Boolean Reasoning

Author: Frank Markham Brown

Publisher: Courier Corporation

Published: 2012-02-10

Total Pages: 308

ISBN-13: 0486164594

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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.

Schaum's Outline of Boolean Algebra and Switching Circuits
Schaum's Outline of Boolean Algebra and Switching Circuits

Author: Elliott Mendelson

Publisher: McGraw Hill Professional

Published: 1970-06-22

Total Pages: 226

ISBN-13: 9780070414600

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Confusing Textbooks? Missed Lectures? Not Enough Time? Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents 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. This Schaum's Outline gives you Practice problems with full explanations that reinforce knowledge Coverage of the most up-to-date developments in your course field In-depth review of practices and applications Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores! Schaum's Outlines-Problem Solved.

Algebraic Logic
Algebraic Logic

Author: Paul R. Halmos

Publisher: Courier Dover Publications

Published: 2016-03-17

Total Pages: 276

ISBN-13: 0486810410

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Beginning with an introduction to the concepts of algebraic logic, this concise volume features ten articles by a prominent mathematician that originally appeared in journals from 1954 to 1959. Covering monadic and polyadic algebras, these articles are essentially self-contained and accessible to a general mathematical audience, requiring no specialized knowledge of algebra or logic. Part One addresses monadic algebras, with articles on general theory, representation, and freedom. Part Two explores polyadic algebras, progressing from general theory and terms to equality. Part Three offers three items on polyadic Boolean algebras, including a survey of predicates, terms, operations, and equality. The book concludes with an additional bibliography and index.