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Boolean Functions: With Engineering Applications and Computer Programs

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Boolean Functions: With Engineering Applications and Computer Programs Cover

 

Synopses & Reviews

Publisher Comments:

This is a textbook and a reference book on Boolean functions, i.e. functions of binary vectors assuming at most two values 0 and 1. First, the conventional theory and its applications in computer engineering are covered. Then - revisiting and deepening the historical notation of George Boole - Boolean operators, typically NOT, AND, and OR are replaced by standard addition, subtraction,and multiplication. This is shown to be extremely useful in the stochastic theory of Boolean functions. The latter is covered at considerable depth with numerous applications mostly in the field of reliability systems theory (fault-trees etc.). In the context of fault tree evaluation several modern Boolean algorithms are discussed, and aspects of PASCAL implementations are reviewed. The book as a whole should help theoretically minded practitioners to a clearer and deeper understanding of Boolean functions and it should give numerous hints for practical numerical work via typically Boolean computer programs.

Table of Contents

Contents: Notation and Glossary of Fundamental Terms and Symbols.- Fundamental Concepts.- Diagrams for Boolean Analysis.- Representations (Forms) and Types of Boolean Functions.- Minimal Disjunctive Normal Forms.- Boolean Difference Calculus.- Boolean Functions Without Boolean Operators.- Stochastic Theory of Boolean Functions.- Stochastic Theory of Boolean Indicator Processes.- Some Algorithms and Computer Programs for Boolean Analysis.- Appendix: Probability Theory Refresher.- Solutions of the Exercises for §§ 2 through 11.- References.- Subject Index.

Product Details

ISBN:
9783642456404
Author:
Schneeweiss, Winfried G.
Publisher:
Springer
Location:
Berlin, Heidelberg
Subject:
Mathematics-Applied
Subject:
Telecommunications
Subject:
Communications Engineering, Networks
Subject:
Appl.Mathematics/Computational Methods of Engineering
Subject:
Engineering
Subject:
Language, literature and biography
Subject:
Telecommunication
Subject:
Engineering mathematics
Copyright:
Edition Description:
Softcover reprint of the original 1st ed. 1989
Publication Date:
20130430
Binding:
TRADE PAPER
Language:
English
Pages:
276
Dimensions:
244 x 170 mm 487 gr

Related Subjects

Engineering » Communications » Telephony
Science and Mathematics » Chemistry » Physical Chemistry
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Applied
Science and Mathematics » Mathematics » General

Boolean Functions: With Engineering Applications and Computer Programs New Trade Paper
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Product details 276 pages Springer - English 9783642456404 Reviews:
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