Boolean Algebras In Analysis
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Boolean Valued Analysis
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Author : A. G. Kusraev
language : en
Publisher: Springer Science & Business Media
Release Date : 1999
Boolean Valued Analysis written by A. G. Kusraev 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 1999 with Mathematics categories.
Boolean valued analysis is a technique for studying properties of an arbitrary mathematical object by comparing its representations in two different set-theoretic models whose construction utilises principally distinct Boolean algebras. The use of two models for studying a single object is a characteristic of the so-called non-standard methods of analysis. Application of Boolean valued models to problems of analysis rests ultimately on the procedures of ascending and descending, the two natural functors acting between a new Boolean valued universe and the von Neumann universe.
Boolean Algebras In Analysis
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Author : D. A. Vladimirov
language : en
Publisher:
Release Date : 2014-01-15
Boolean Algebras In Analysis written by D. A. Vladimirov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
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.
Analysis Of Boolean Functions
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Author : Ryan O'Donnell
language : en
Publisher: Cambridge University Press
Release Date : 2014-06-05
Analysis Of Boolean Functions written by Ryan O'Donnell and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-05 with Computers categories.
This graduate-level text gives a thorough overview of the analysis of Boolean functions, beginning with the most basic definitions and proceeding to advanced topics.
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.
Boolean Algebra And Its Applications
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Author : J. Eldon Whitesitt
language : en
Publisher: Courier Corporation
Release Date : 2012-05-24
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 2012-05-24 with Mathematics categories.
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 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.
Introduction To Digital Logic Boolean Algebra A Comprehensive Guide To Binary Operations Logic Gates Logical Expression Analysis And Number Repre
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Author : M. K. Gooroochurn
language : en
Publisher: Knowledge Empowering
Release Date : 2018-10-16
Introduction To Digital Logic Boolean Algebra A Comprehensive Guide To Binary Operations Logic Gates Logical Expression Analysis And Number Repre written by M. K. Gooroochurn and has been published by Knowledge Empowering this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-16 with Education categories.
Digital technology has become ubiquitous in our modern society, to the extent that we risk of being left behind and becoming cut-off if we do not adopt it! This KES aims to show why digital technology is becoming so appealing, what digital data are, what operations can be performed on them, and how digital logic theory can be used to systematically formulate solutions to several practical problems. As we become immersed in the 0's and 1's of a digital world, knowing the differences between the way our smart digital companions work and how we humans interpret information is of high relevance today, irrespective of the wake of life we find ourselves in with respect to digital technology. Customers are increasingly asked to understand digital terms like bits, bytes, GB, GHz and TB when selecting their next laptop or smartphone, and for anyone aspiring to get into this rapidly evolving environment as a professional, the basics and principles are a must.The underlying digital principles are also found to be a useful asset for learning computer programming, as it enables to understand the machine level operations of the computer, and hence equips one to understand unexpected behaviors of a piece of code and in troubleshooting bugs.
Axioms For Lattices And Boolean Algebras
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Author : Ranganathan Padmanabhan
language : en
Publisher: World Scientific
Release Date : 2008
Axioms For Lattices And Boolean Algebras written by Ranganathan Padmanabhan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
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.
Logic And Boolean Algebra
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Author : Kathleen Levitz
language : en
Publisher:
Release Date : 1979
Logic And Boolean Algebra written by Kathleen Levitz and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.