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Boolean Algebra

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Boolean Algebra And Its Applications

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Author : J. Eldon Whitesitt
language : en
Publisher: Courier Corporation
Release Date : 2010-03-18

Boolean Algebra And Its Applications written by J. Eldon Whitesitt and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-18 with Mathematics categories.

This introduction to Boolean algebra begins with an intuitive approach to set theory and an axiomatic account of the fundamentals of Boolean algebra, proceeding to concise accounts of applications to symbolic logic, switching circuits, relay circuits, binary arithmetic, and probability theory. Answers to selected problems appear at the end. 1961 edition.

Lectures On Boolean Algebras

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Author : Paul R. Halmos
language : en
Publisher: Courier Dover Publications
Release Date : 2018-09-12

Lectures On Boolean Algebras written by Paul R. Halmos and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-12 with Mathematics categories.

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

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Author : Steven Givant
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-10

Introduction To Boolean Algebras written by Steven Givant and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-10 with Mathematics categories.

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

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Author : Steven Givant
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-12-02

Fundamentals Of Boolean Algebra

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Author : BR THAKUR
language : en
Publisher: Ram Prasad Publications(R.P.H.)
Release Date :

Fundamentals Of Boolean Algebra written by BR THAKUR and has been published by Ram Prasad Publications(R.P.H.) this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.

Unit-I 1.1 Indian Logic : 1.1.1 Origins 1.1.2 The Schools Vaisheshika 1.1.3 Catuskoti 1.1.4 Nyaya 1.1.5 Jain Logic 1.1.6 Buddhist Logic 1.1.7 Navya-Nyaya 1.1.8 Influence of Indian Logic on Modern Logic 1.1.9 Boolean Logic and Indian Thoughts 1.2 Boolean Algebra : 1.2.1 Truth Tables 1.2.2 Properties of Boolean Algebra 1.2.3 Principle of Duality 1.2.4 De-Morgans Theorem Unit-II Boolean Function : 2.1 Boolean Expression 2.2 Boolean Function 2.3 Min- Term of Minimal Boolean Function 2.4 Disjunctive Normal Form or Canonical Form 2.5 Complete Disjunctive Normal Form or Complete Canonical Form 2.6 Boole's Expansion Theorem 2.7 Complement Function of a Boolean Function in Disjunctive Normal Form 2.8 Max-Term or Maximal Boolean Function 2.9 Conjunctive Normal Form or Dual Canonical Form 2.10 Complete Conjunctive Normal Form 2.11 Complement Function of a Boolean Function in Conjunctive Normal Form 2.12 SOP & POS Forms 2.13 Minimize the Boolean Function using Kannaugh-Map upto 3 variables. Unit-III Logic Gates : 3.1 AND Gate 3.6 XOR Gate 3.2 OR Gate 3.7 XNOR Gate 3.3 NOT Gate 3.8 Buffer Gate 3.4 NAND Gate 3.9 Universal Gate 3.5 NOR Gate 3.10 Applications of Logic Gates Unit-IV Circuits : 4.1 Switching Circuits 4.2 Parallel Circuits 4.3 Series Circuits 4.4 Relay Circuit 4.5 Various positions of switches and currents in Electric Circuits 4.6 Simple Arithmetic and Logic Circuits 4.7 Combinational Circuits; 4.7.1 Adder; 4.7.2 Subtractor 4.8 Simple Combinational Circuit Design Problems

Boolean Reasoning

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Author : Frank Markham Brown
language : en
Publisher: Courier Corporation
Release Date : 2012-02-10

Boolean Reasoning written by Frank Markham Brown and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-10 with Mathematics categories.

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.

Boolean Algebra And Its Applications

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Author : J. Eldon Whitesitt
language : en
Publisher: Courier Corporation
Release Date : 2012-05-24

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.

Boolean Algebras

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Author : Roman Sikorski
language : en
Publisher: Springer
Release Date : 2013-04-17

Boolean Algebras written by Roman Sikorski and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.

There are two aspects in the theory of Boolean algebras: algebraic and set-theoretical. Boolean algebras can be considered as a special kind of algebraic rings, or as a generalization of the set-theoretical notion of field of sets. Fundamental theorems in the both directions are due to M. H. STONE whose papers have opened a new period in the development of the theory. This work treats of the set-theoretical aspect, the algebraic one being scarcely mentioned. The book is composed of two Chapters and an Appendix. Chapter I is devoted to the study of Boolean algebras from the point of view of finite Boolean operations only. A greater part of its contents can be found also in the books of BIRKHOFF [2J and HERMES [1 J. Chapter II seems to be the first systematic study of Boolean algebras with infinite Boolean operations. To understand Chapters land II it suffices to know only fundamental notions from General Set Theory and Set-theoretical Topology. No knowledge of Lattice Theory or AbstractAlgebra is supposed. Less known topological theorems are recalled. Only a few examples use more advanced topological means but they can be omitted. All theorems in both Chapters are given with full proofs. On the contrary, no complete proofs are given in the Appendix which contains mainly a short exposition of applications of Boolean algebras to other parts of Mathematics with references to the literature. An elementary knowledge of discussed theories is supposed.

Boolean Algebras In Analysis

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Author : D.A. Vladimirov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17

Boolean Algebras In Analysis written by D.A. Vladimirov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.

Boolean Algebras in Analysis consists of two parts. The first concerns the general theory at the beginner's level. Presenting classical theorems, the book describes the topologies and uniform structures of Boolean algebras, the basics of complete Boolean algebras and their continuous homomorphisms, as well as lifting theory. The first part also includes an introductory chapter describing the elementary to the theory. The second part deals at a graduate level with the metric theory of Boolean algebras at a graduate level. The covered topics include measure algebras, their sub algebras, and groups of automorphisms. Ample room is allotted to the new classification theorems abstracting the celebrated counterparts by D.Maharam, A.H. Kolmogorov, and V.A.Rokhlin. Boolean Algebras in Analysis is an exceptional definitive source on Boolean algebra as applied to functional analysis and probability. It is intended for all who are interested in new and powerful tools for hard and soft mathematical analysis.

Boolean Algebra

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