Introduction to Boolean Algebras

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Publisher : Springer Science & Business Media
ISBN 13 : 0387684360
Total Pages : 589 pages
Book Rating : 4.3/5 (876 download)

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Book Synopsis Introduction to Boolean Algebras by : Steven Givant

Download or read book Introduction to Boolean Algebras written by Steven Givant and published by Springer Science & Business Media. This book was released on 2008-12-10 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Lectures on Boolean Algebras

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Author :
Publisher : Courier Dover Publications
ISBN 13 : 0486834573
Total Pages : 163 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Lectures on Boolean Algebras by : Paul R. Halmos

Download or read book Lectures on Boolean Algebras written by Paul R. Halmos and published by Courier Dover Publications. This book was released on 2018-09-12 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 :
Publisher : Springer Science & Business Media
ISBN 13 : 0387402934
Total Pages : 589 pages
Book Rating : 4.3/5 (874 download)

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Book Synopsis Introduction to Boolean Algebras by : Steven Givant

Download or read book Introduction to Boolean Algebras written by Steven Givant and published by Springer Science & Business Media. This book was released on 2008-12-02 with total page 589 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Handbook of Boolean Algebras

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Author :
Publisher :
ISBN 13 : 9780444872913
Total Pages : 312 pages
Book Rating : 4.8/5 (729 download)

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Book Synopsis Handbook of Boolean Algebras by : Sabine Koppelberg

Download or read book Handbook of Boolean Algebras written by Sabine Koppelberg and published by . This book was released on 1989 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Boolean Reasoning

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Publisher : Courier Corporation
ISBN 13 : 0486164594
Total Pages : 308 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Boolean Reasoning by : Frank Markham Brown

Download or read book Boolean Reasoning written by Frank Markham Brown and published by Courier Corporation. This book was released on 2012-02-10 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Cardinal Invariants on Boolean Algebras

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Publisher : Springer Science & Business Media
ISBN 13 : 3034603347
Total Pages : 308 pages
Book Rating : 4.0/5 (346 download)

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Book Synopsis Cardinal Invariants on Boolean Algebras by : J. Donald Monk

Download or read book Cardinal Invariants on Boolean Algebras written by J. Donald Monk and published by Springer Science & Business Media. This book was released on 2010-03-25 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text covers cardinal number valued functions defined for any Boolean algebra such as cellularity. It explores the behavior of these functions under algebraic operations such as products, free products, ultraproducts and their relationships to each other.

Schaum's Outline of Boolean Algebra and Switching Circuits

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Author :
Publisher : McGraw Hill Professional
ISBN 13 : 9780070414600
Total Pages : 226 pages
Book Rating : 4.4/5 (146 download)

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Book Synopsis Schaum's Outline of Boolean Algebra and Switching Circuits by : Elliott Mendelson

Download or read book Schaum's Outline of Boolean Algebra and Switching Circuits written by Elliott Mendelson and published by McGraw Hill Professional. This book was released on 1970-06-22 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Boolean-Algebras

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Author :
Publisher : Physica
ISBN 13 :
Total Pages : 86 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Introduction to Boolean-Algebras by : Philip Dwinger

Download or read book Introduction to Boolean-Algebras written by Philip Dwinger and published by Physica. This book was released on 1971 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Logic as Algebra

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Publisher : American Mathematical Soc.
ISBN 13 : 1470451662
Total Pages : 141 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Logic as Algebra by : Paul Halmos

Download or read book Logic as Algebra written by Paul Halmos and published by American Mathematical Soc.. This book was released on 2019-01-30 with total page 141 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Algebra and Its Applications

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Publisher : Courier Corporation
ISBN 13 : 0486158160
Total Pages : 194 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Boolean Algebra and Its Applications by : J. Eldon Whitesitt

Download or read book Boolean Algebra and Its Applications written by J. Eldon Whitesitt and published by Courier Corporation. This book was released on 2012-05-24 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Cardinal Invariants on Boolean Algebras

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Publisher : Springer Science & Business Media
ISBN 13 : 3034807309
Total Pages : 569 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Cardinal Invariants on Boolean Algebras by : J. Donald Monk

Download or read book Cardinal Invariants on Boolean Algebras written by J. Donald Monk and published by Springer Science & Business Media. This book was released on 2014-02-11 with total page 569 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is concerned with cardinal number valued functions defined for any Boolean algebra. Examples of such functions are independence, which assigns to each Boolean algebra the supremum of the cardinalities of its free subalgebras, and cellularity, which gives the supremum of cardinalities of sets of pairwise disjoint elements. Twenty-one such functions are studied in detail, and many more in passing. The questions considered are the behaviour of these functions under algebraic operations such as products, free products, ultraproducts, and their relationships to one another. Assuming familiarity with only the basics of Boolean algebras and set theory, through simple infinite combinatorics and forcing, the book reviews current knowledge about these functions, giving complete proofs for most facts. A special feature of the book is the attention given to open problems, of which 185 are formulated. Based on Cardinal Functions on Boolean Algebras (1990) and Cardinal Invariants on Boolean Algebras (1996) by the same author, the present work is much larger than either of these. It contains solutions to many of the open problems of the earlier volumes. Among the new topics are continuum cardinals on Boolean algebras, with a lengthy treatment of the reaping number. Diagrams at the end of the book summarize the relationships between the functions for many important classes of Boolean algebras, including interval algebras, tree algebras and superatomic algebras.

Axioms for Lattices and Boolean Algebras

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Publisher : World Scientific
ISBN 13 : 9812834540
Total Pages : 229 pages
Book Rating : 4.8/5 (128 download)

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Book Synopsis Axioms for Lattices and Boolean Algebras by : Ranganathan Padmanabhan

Download or read book Axioms for Lattices and Boolean Algebras written by Ranganathan Padmanabhan and published by World Scientific. This book was released on 2008 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: The importance of equational axioms emerged initially with the axiomatic approach to Boolean algebras, groups, and rings, and later in lattices. This unique research monograph systematically presents minimal equational axiom-systems for various lattice-related algebras, regardless of whether they are given in terms of ?join and meet? or other types of operations such as ternary operations. Each of the axiom-systems is coded in a handy way so that it is easy to follow the natural connection among the various axioms and to understand how to combine them to form new axiom systems. A new topic in this book is the characterization of Boolean algebras within the class of all uniquely complemented lattices. Here, the celebrated problem of E V Huntington is addressed, which ? according to G Gratzer, a leading expert in modern lattice theory ? is one of the two problems that shaped a century of research in lattice theory. Among other things, it is shown that there are infinitely many non-modular lattice identities that force a uniquely complemented lattice to be Boolean, thus providing several new axiom systems for Boolean algebras within the class of all uniquely complemented lattices. Finally, a few related lines of research are sketched, in the form of appendices, including one by Dr Willian McCune of the University of New Mexico, on applications of modern theorem-proving to the equational theory of lattices.

Thinking Algebraically: An Introduction to Abstract Algebra

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Publisher : American Mathematical Soc.
ISBN 13 : 1470460300
Total Pages : 478 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Thinking Algebraically: An Introduction to Abstract Algebra by : Thomas Q. Sibley

Download or read book Thinking Algebraically: An Introduction to Abstract Algebra written by Thomas Q. Sibley and published by American Mathematical Soc.. This book was released on 2021-06-08 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Thinking Algebraically presents the insights of abstract algebra in a welcoming and accessible way. It succeeds in combining the advantages of rings-first and groups-first approaches while avoiding the disadvantages. After an historical overview, the first chapter studies familiar examples and elementary properties of groups and rings simultaneously to motivate the modern understanding of algebra. The text builds intuition for abstract algebra starting from high school algebra. In addition to the standard number systems, polynomials, vectors, and matrices, the first chapter introduces modular arithmetic and dihedral groups. The second chapter builds on these basic examples and properties, enabling students to learn structural ideas common to rings and groups: isomorphism, homomorphism, and direct product. The third chapter investigates introductory group theory. Later chapters delve more deeply into groups, rings, and fields, including Galois theory, and they also introduce other topics, such as lattices. The exposition is clear and conversational throughout. The book has numerous exercises in each section as well as supplemental exercises and projects for each chapter. Many examples and well over 100 figures provide support for learning. Short biographies introduce the mathematicians who proved many of the results. The book presents a pathway to algebraic thinking in a semester- or year-long algebra course.

Sheaves of Algebras over Boolean Spaces

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Publisher : Springer Science & Business Media
ISBN 13 : 0817642188
Total Pages : 336 pages
Book Rating : 4.8/5 (176 download)

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Book Synopsis Sheaves of Algebras over Boolean Spaces by : Arthur Knoebel

Download or read book Sheaves of Algebras over Boolean Spaces written by Arthur Knoebel and published by Springer Science & Business Media. This book was released on 2011-12-15 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique monograph building bridges among a number of different areas of mathematics such as algebra, topology, and category theory. The author uses various tools to develop new applications of classical concepts. Detailed proofs are given for all major theorems, about half of which are completely new. Sheaves of Algebras over Boolean Spaces will take readers on a journey through sheaf theory, an important part of universal algebra. This excellent reference text is suitable for graduate students, researchers, and those who wish to learn about sheaves of algebras.

Modal Logic for Philosophers

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Publisher : Cambridge University Press
ISBN 13 : 0521682290
Total Pages : 429 pages
Book Rating : 4.5/5 (216 download)

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Book Synopsis Modal Logic for Philosophers by : James W. Garson

Download or read book Modal Logic for Philosophers written by James W. Garson and published by Cambridge University Press. This book was released on 2006-08-14 with total page 429 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2006 book provides an accessible, yet technically sound treatment of modal logic and its philosophical applications.

Introduction to Applied Linear Algebra

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Publisher : Cambridge University Press
ISBN 13 : 1316518965
Total Pages : 477 pages
Book Rating : 4.3/5 (165 download)

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Book Synopsis Introduction to Applied Linear Algebra by : Stephen Boyd

Download or read book Introduction to Applied Linear Algebra written by Stephen Boyd and published by Cambridge University Press. This book was released on 2018-06-07 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: A groundbreaking introduction to vectors, matrices, and least squares for engineering applications, offering a wealth of practical examples.

Abstract Algebra

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Publisher : Orthogonal Publishing L3c
ISBN 13 : 9781944325190
Total Pages : 0 pages
Book Rating : 4.3/5 (251 download)

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Book Synopsis Abstract Algebra by : Thomas Judson

Download or read book Abstract Algebra written by Thomas Judson and published by Orthogonal Publishing L3c. This book was released on 2023-08-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract Algebra: Theory and Applications is an open-source textbook that is designed to teach the principles and theory of abstract algebra to college juniors and seniors in a rigorous manner. Its strengths include a wide range of exercises, both computational and theoretical, plus many non-trivial applications. The first half of the book presents group theory, through the Sylow theorems, with enough material for a semester-long course. The second half is suitable for a second semester and presents rings, integral domains, Boolean algebras, vector spaces, and fields, concluding with Galois Theory.