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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: 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: Frank Markham Brown
Publisher: Springer Science & Business Media
ISBN: 1475720785
Category : Technology & Engineering
Languages : en
Pages : 286
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Book Description
This book is about the logic of Boolean equations. Such equations were central in the "algebra of logic" created in 1847 by Boole [12, 13] and devel oped by others, notably Schroder [178], in the remainder of the nineteenth century. Boolean equations are also the language by which digital circuits are described today. Logicians in the twentieth century have abandoned Boole's equation based logic in favor of the more powerful predicate calculus. As a result, digital engineers-and others who use Boole's language routinely-remain largely unaware of its utility as a medium for reasoning. The aim of this book, accordingly, is to is to present a systematic outline of the logic of Boolean equations, in the hope that Boole's methods may prove useful in solving present-day problems. Two Logical Languages Logic seeks to reduce reasoning to calculation. Two main languages have been developed to achieve that object: Boole's "algebra of logic" and the predicate calculus. Boole's approach was to represent classes (e. g. , happy creatures, things productive of pleasure) by symbols and to represent logical statements as equations to be solved. His formulation proved inadequate, however, to represent ordinary discourse. A number of nineteenth-century logicians, including Jevons [94], Poretsky [159], Schroder [178], Venn [210], and Whitehead [212, 213], sought an improved formulation based on ex tensions or modifications of Boole's algebra. These efforts met with only limited success.
Author: Frank Markham Brown
Publisher: Courier Corporation
ISBN: 9780486427850
Category : Mathematics
Languages : en
Pages : 308
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Book Description
A systematic treatment of Boolean reasoning, this concise, newly revised edition combines the works of early logicians with recent investigations, including previously unpublished research results. Brown begins with an overview of elementary mathematical concepts and outlines the theory of Boolean algebras. Two concluding chapters deal with applications. 1990 edition.
Author: J. Eldon Whitesitt
Publisher: Courier Corporation
ISBN: 0486158160
Category : Mathematics
Languages : en
Pages : 194
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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: 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: Hassanien, Aboul Ella
Publisher: IGI Global
ISBN: 1599045540
Category : Business & Economics
Languages : en
Pages : 313
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Book Description
Covers key rough computing research, surveying a full range of topics and examining defining issues of the field.
Author: Paul R. Halmos
Publisher: Courier Dover Publications
ISBN: 0486834573
Category : Mathematics
Languages : en
Pages : 163
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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: George Boole
Publisher: Courier Corporation
ISBN: 0486488268
Category : Mathematics
Languages : en
Pages : 514
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Book Description
Authoritative account of the development of Boole's ideas in logic and probability theory ranges from The Mathematical Analysis of Logic to the end of his career. The Laws of Thought formed the most systematic statement of Boole's theories; this volume contains incomplete studies intended for a follow-up volume. 1952 edition.
Author: Dominik Ślęzak
Publisher: Springer Science & Business Media
ISBN: 3540286608
Category : Artificial intelligence
Languages : en
Pages : 760
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Book Description
This volume contains the papers selected for presentation at the 10th International Conference on Rough Sets, Fuzzy Sets, Data Mining, and Granular Computing, RSFDGrC 2005, organized at the University of Regina, August 31st–September 3rd, 2005.
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 562
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Book Description
