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Author: Paul R. Halmos Publisher: Courier Dover Publications ISBN: 0486834573 Category : Mathematics Languages : en Pages : 163
Book Description
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.
Author: Paul R. Halmos Publisher: Courier Dover Publications ISBN: 0486834573 Category : Mathematics Languages : en Pages : 163
Book Description
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.
Author: Steven Givant Publisher: Springer Science & Business Media ISBN: 0387684360 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.
Author: J. Eldon Whitesitt Publisher: Courier Corporation ISBN: 0486158160 Category : Mathematics Languages : en Pages : 194
Book Description
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.
Author: Paul Halmos Publisher: American Mathematical Soc. ISBN: 1470451662 Category : Mathematics Languages : en Pages : 153
Book Description
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.
Author: Elliott Mendelson Publisher: McGraw Hill Professional ISBN: 9780070414600 Category : Juvenile Nonfiction Languages : en Pages : 226
Book Description
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Author: Frank Markham Brown Publisher: Courier Corporation ISBN: 0486164594 Category : Mathematics Languages : en Pages : 308
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: Paul R. Halmos Publisher: Courier Dover Publications ISBN: 0486810410 Category : Mathematics Languages : en Pages : 276
Book Description
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.
Author: Paul R. Halmos
Author: Paul R. Halmos
Author: Steven Givant
Author: J. Eldon Whitesitt
Author: Bradford Henry Arnold
Author: Sabine Koppelberg
Author: Paul Halmos
Author: Elliott Mendelson
Author: Frank Markham Brown
Author: Paul R. Halmos
Author: Joachim Lambek