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| boolean algebra de morgan's law: Foundations of Computation Carol Critchlow, David Eck, 2011 Foundations of Computation is a free textbook for a one-semester course in theoretical computer science. It has been used for several years in a course at Hobart and William Smith Colleges. The course has no prerequisites other than introductory computer programming. The first half of the course covers material on logic, sets, and functions that would often be taught in a course in discrete mathematics. The second part covers material on automata, formal languages and grammar that would ordinarily be encountered in an upper level course in theoretical computer science. |
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| boolean algebra de morgan's law: Math in Society David Lippman, 2012-09-07 Math in Society is a survey of contemporary mathematical topics, appropriate for a college-level topics course for liberal arts major, or as a general quantitative reasoning course.This book is an open textbook; it can be read free online at http://www.opentextbookstore.com/mathinsociety/. Editable versions of the chapters are available as well. |
| boolean algebra de morgan's law: Concise Computer Mathematics Ovidiu Bagdasar, 2013-10-28 Adapted from a modular undergraduate course on computational mathematics, Concise Computer Mathematics delivers an easily accessible, self-contained introduction to the basic notions of mathematics necessary for a computer science degree. The text reflects the need to quickly introduce students from a variety of educational backgrounds to a number of essential mathematical concepts. The material is divided into four units: discrete mathematics (sets, relations, functions), logic (Boolean types, truth tables, proofs), linear algebra (vectors, matrices and graphics), and special topics (graph theory, number theory, basic elements of calculus). The chapters contain a brief theoretical presentation of the topic, followed by a selection of problems (which are direct applications of the theory) and additional supplementary problems (which may require a bit more work). Each chapter ends with answers or worked solutions for all of the problems. |
| boolean algebra de morgan's law: Computer Fundamentals Pradeep K. Sinha, Priti Sinha, 2004-11 |
| boolean algebra de morgan's law: The Mathematical Analysis of Logic George Boole, 1847 |
| boolean algebra de morgan's law: Topics In Abstract Algebra (second Edition) P. Mukhopadhyay, Shamik Ghosh, Mridul Kanti Sen, 2006 This book covers the elements of Abstract Algebra, which is a major mathematics course for undergraduate students all over the country and also for first year postgraduate students of many universities. It is designed according to the new UGC syllabus prescribed for all Indian universities. |
| boolean algebra de morgan's law: Thinking Algebraically: An Introduction to Abstract Algebra Thomas Q. Sibley, 2021-06-08 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. |
| boolean algebra de morgan's law: Basic Algebra P.M. Cohn, 2012-12-06 This is the first volume of a revised edition of P.M. Cohn's classic three-volume text Algebra, widely regarded as one of the most outstanding introductory algebra textbooks. This volume covers the important results of algebra. Readers should have some knowledge of linear algebra, groups and fields, although all the essential facts and definitions are recalled. |
| boolean algebra de morgan's law: Introduction to Boolean Algebras Steven Givant, Paul Halmos, 2008-12-10 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 de morgan's law: Understanding Engineering Mathematics John Bird, 2013-11-20 Studying engineering, whether it is mechanical, electrical or civil relies heavily on an understanding of mathematics. This new textbook clearly demonstrates the relevance of mathematical principles and shows how to apply them to solve real-life engineering problems. It deliberately starts at an elementary level so that students who are starting from a low knowledge base will be able to quickly get up to the level required. Students who have not studied mathematics for some time will find this an excellent refresher. Each chapter starts with the basics before gently increasing in complexity. A full outline of essential definitions, formulae, laws and procedures are introduced before real world situations, practicals and problem solving demonstrate how the theory is applied. Focusing on learning through practice, it contains examples, supported by 1,600 worked problems and 3,000 further problems contained within exercises throughout the text. In addition, 34 revision tests are included at regular intervals. An interactive companion website is also provided containing 2,750 further problems with worked solutions and instructor materials |
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| boolean algebra de morgan's law: Aircraft Digital Electronic and Computer Systems, 2nd ed Mike Tooley, 2013-07-18 An introduction to the principles of aircraft digital and electronic systems, this book is written for anyone pursuing a career in aircraft maintenance engineering or a related aerospace engineering discipline. Suitable for those studying towards licensed aircraft maintenance engineer status as part of an EASA Part-66 or FAR-147 approved course, or those taking Aerospace Engineering City & Guilds modules, EDEXCEL National Units, EDEXCEL Higher National Units or a Degree in aircraft engineering. |
| boolean algebra de morgan's law: Comprehensive Discrete Mathematics , |
| boolean algebra de morgan's law: Aircraft Digital Electronic and Computer Systems Mike Tooley, 2013-07-18 An introduction to the principles of aircraft digital and electronic systems, this book is written for anyone pursuing a career in aircraft maintenance engineering or a related aerospace engineering discipline. Suitable for those studying towards licensed aircraft maintenance engineer status as part of an EASA Part-66 or FAR-147 approved course, or those taking Aerospace Engineering City & Guilds modules, EDEXCEL National Units, EDEXCEL Higher National Units or a Degree in aircraft engineering. |
| boolean algebra de morgan's law: Boolean Algebra United States. Bureau of Naval Personnel, 1964 |
| boolean algebra de morgan's law: Introduction to Digital Electronics J. Crowe, Barrie Hayes-Gill, 1998-03-27 This text takes the student from the very basics of digital electronics to an introduction of state-of-the-art techniques used in the field. It is ideal for any engineering or science student who wishes to study the subject from its basic principles as well as serving as a guide to more advanced topics for readers already familiar with the subject. The coverage is sufficiently in-depth to allow the reader to progress smoothly onto higher level texts. |
| boolean algebra de morgan's law: Jacaranda Maths Quest 11 Specialist Mathematics VCE Units 1 and 2 2e learnON and Print Raymond Rozen, 2022-12-19 |
| boolean algebra de morgan's law: Discrete Mathematics With Logic Martin Milanic, Brigitte Servatius, Herman Servatius, 2023-07-20 Discrete Mathematics provides key concepts and a solid, rigorous foundation in mathematical reasoning. Appropriate for undergraduate as well as a starting point for more advanced class, the resource offers a logical progression through key topics without assuming any background in algebra or computational skills and without duplicating what they will learn in higher level courses. The book is designed as an accessible introduction for students in mathematics or computer science as it explores questions that test the understanding of proof strategies, such as mathematical induction. For students interested to dive into this subject, the text offers a rigorous introduction to mathematical thought through useful examples and exercises. - Provides a class-tested reference used on multiple years - Includes many exercises and helpful guided solutions to aid student comprehension and practice - Appropriate for undergraduate courses and for students with no background in algebra or computational skills |
| boolean algebra de morgan's law: ELEMENTS OF DISCRETE MATHEMATICS BR THAKUR, 1. Indian Logic 1-5 2. Relations, Equivalence Classes and Partition of a set 6-25 3. Partial Order Relation and Lattices 26-48 4. Boolean Algebra and Boolean Function 49-89 5. Graphs and Sub-graphs 90-111 6. Walk, Paths, Circuits, Weighted Graphs and Shortest Path 112-150 7. Trees and its Simple Properties 151-189 8. Matrix Representation of a Graph, Cut Sets and Planar Graph 190-216 |
| boolean algebra de morgan's law: Boolean Reasoning Frank Markham Brown, 2012-02-10 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 de morgan's law: Developing Windows-Based and Web-Enabled Information Systems Nong Ye, Teresa Wu, 2014-09-19 Many professionals and students in engineering, science, business, and other application fields need to develop Windows-based and web-enabled information systems to store and use data for decision support, without help from professional programmers. However, few books are available to train professionals and students who are not professional progra |
| boolean algebra de morgan's law: Elements of Quantum Computing Seiki Akama, 2014-07-14 A quantum computer is a computer based on a computational model which uses quantum mechanics, which is a subfield of physics to study phenomena at the micro level. There has been a growing interest on quantum computing in the 1990's and some quantum computers at the experimental level were recently implemented. Quantum computers enable super-speed computation and can solve some important problems whose solutions were regarded impossible or intractable with traditional computers. This book provides a quick introduction to quantum computing for readers who have no backgrounds of both theory of computation and quantum mechanics. “Elements of Quantum Computing” presents the history, theories and engineering applications of quantum computing. The book is suitable to computer scientists, physicists and software engineers. |
| boolean algebra de morgan's law: Trigonometry and Double Algebra Augustus De Morgan, 1849 |
| boolean algebra de morgan's law: Logic Design and Computer Organization Atul P. Godse, Dr. Deepali A. Godse, 2021-01-01 This book presents the basic concepts used in designing and analyzing digital circuits and introduces digital computer organization and design principles. The first part of the book teaches you the number systems, logic gates, logic families, Boolean algebra, simplification of logic functions, analysis and design of combinational circuits using SSI and MSI circuits. It also explains latches and flip-flops, Types of counters - synchronous and asynchronous, counter design and applications, and shift registers and its applications. The second part of the book teaches you functional units of computer, Von Neumann and Harvard architectures, processor organization, control unit - hardwired control unit and microprogrammed control unit, processor instructions, instruction cycle, instruction formats, instruction pipelining, RISC and CISC architectures, interrupts, interrupt handling, multiprocessor systems, multicore processors, memory and I/O organizations. |
| boolean algebra de morgan's law: Introduction To Engineering Mathematics - Volume III (For APJAKTU, Lucknow) H K DASS, Introduction to Engineering Mathematics series is compiled specifically for the faculty and students at all engineering colleges of Dr A.P.J. Abdul Kalam Technical University (AKTU), Lucknow, UP along with other engineering institutes which might follow the same course pattern. With a completely new syllabus, the subject is fully covered in a single textbook. Therefore for Integral Transform and Discrete Maths students and faculties need not refer to multiple texts anymore. Replete with well-placed examples to complement the theory, the book enables students to learn effortlessly of so-called difficult topics as well. |
| boolean algebra de morgan's law: The Continuum Companion to Philosophical Logic Leon Horsten, Richard Pettigrew, 2011-08-04 A single volume reference guide to the latest work and potential future directions in Philosophical Logic, written by an international team of leading scholars. |
| boolean algebra de morgan's law: The Bloomsbury Companion to Philosophical Logic Leon Horsten, Richard Pettigrew, 2014-09-25 Logical methods are used in all area of philosophy. By introducing and advancing central to topics in the discipline, The Bloomsbury Companion to Philosophical Logic emphasizes the crucial role logic plays in understanding philosophical problems. Covering stages in the history of logic and of modern logic, this comprehensive Companion looks ahead to new areas of research and explores issues pertaining to classical logic and its rivals, semantics for parts of natural language, and the application of logic in the theory of rationality. Experts in the field provide a mix of technical chapters that offer excellent encyclopaedias of results in the area and chapters of philosophical discussions that survey a range of philosophical positions. To facilitate further study, this volumes also includes a series of research tools such as a detailed index, an up-to-date list of resources and an annotated bibliography. Balancing technical exposition with philosophical discussion, The Bloomsbury Companion to Philosophical Logic not only provides students and lecturers with the basis of a course in philosophical logic, it offers anyone working in this key area of contemporary philosophy a valuable research resource. |
| boolean algebra de morgan's law: Concepts in Computing Kenneth E. Hoganson, 2008 Concepts in Computing provides a clear, concise introduction to the fundamentals of computer science. The author generates excitement, curiosity, and enthusiasm in students and leaves them with a desire to learn more about the fascinating world of computing. The text identifies the important relationship between computing and the disciplines of engineering and mathematics. It focuses on the three important areas of Software/Programming/Design, Computer Systems/Architecture, and Theoretical Foundations. It is clear that students learn faster, and retain and integrate knowledge more efficiently, if they see how each subject area connects with, and is interdependent upon others. Concepts in Computing sets a solid foundation for introductory students and is a useful companion to those entering introductory programming courses. |
| boolean algebra de morgan's law: 2024-25 RRB Technician Grade-I Signal Basic Science & Engineering Study Material Question Bank YCT Expert Team , 2024-25 RRB Technician Grade-I Signal Basic Science & Engineering Study Material Question Bank 448 895 E. This book contains 2500 questions and also covers Physics Fundamentals, Electricity and Magnetism and Electronics and Measurements. |
| boolean algebra de morgan's law: CBSE Simplified C++ Kunal Banerjee, The book is written in very simple and easy language. the book is strictly in accordance with CBSE syllabus and can also be used by beginners to learn C++. |
| boolean algebra de morgan's law: Basics of Electrical Electronics and Communication Engineering Dr. K. A. Navas, T. A. Suhail, 2010-08-01 The book is written per the syllabus of first year engineering degree course for various universities. It covers basic topics of electrical, electronics and communication engineering. It also includes worked out examples, University examination questions and answers, exercise, etc in every chapter. This book is suitable for course in basic electrical and electronics engineering under various Universities. Authors have tried to elucidate the topics in such a way that even a mediocre student can assimilate them. Many solved problems, sample question papers and exercise given in every section will provide a thorough understanding of the topics. Other features include attractive writing style, well structured equations and numerical examples, pictures of high clarity, etc. This book is one among prescribed textbooks for the syllabus of BIT, Mesra, Ranchi. |
| boolean algebra de morgan's law: Reliability and Safety Engineering Ajit Kumar Verma, Srividya Ajit, Durga Rao Karanki, 2015-09-28 Reliability and safety are core issues that must be addressed throughout the life cycle of engineering systems. Reliability and Safety Engineering presents an overview of the basic concepts, together with simple and practical illustrations. The authors present reliability terminology in various engineering fields, viz., electronics engineering, software engineering, mechanical engineering, structural engineering and power systems engineering. The book describes the latest applications in the area of probabilistic safety assessment, such as technical specification optimization, risk monitoring and risk informed in-service inspection. Reliability and safety studies must, inevitably, deal with uncertainty, so the book includes uncertainty propagation methods: Monte Carlo simulation, fuzzy arithmetic, Dempster-Shafer theory and probability bounds. Reliability and Safety Engineering also highlights advances in system reliability and safety assessment including dynamic system modeling and uncertainty management. Case studies from typical nuclear power plants as well as from structural, software and electronic systems are also discussed. Reliability and Safety Engineering combines discussions of the existing literature on basic concepts and applications with state-of-the-art methods used in reliability and risk assessment of engineering systems. It is designed to assist practicing engineers, students and researchers in the areas of reliability engineering and risk analysis. |
| boolean algebra de morgan's law: Higher Engineering Mathematics John Bird, 2017-04-07 Now in its eighth edition, Higher Engineering Mathematics has helped thousands of students succeed in their exams. Theory is kept to a minimum, with the emphasis firmly placed on problem-solving skills, making this a thoroughly practical introduction to the advanced engineering mathematics that students need to master. The extensive and thorough topic coverage makes this an ideal text for upper-level vocational courses and for undergraduate degree courses. It is also supported by a fully updated companion website with resources for both students and lecturers. It has full solutions to all 2,000 further questions contained in the 277 practice exercises. |
| boolean algebra de morgan's law: Discrete Mathematics Gary Chartrand, Ping Zhang, 2011-03-31 Chartrand and Zhangs Discrete Mathematics presents a clearly written, student-friendly introduction to discrete mathematics. The authors draw from their background as researchers and educators to offer lucid discussions and descriptions fundamental to the subject of discrete mathematics. Unique among discrete mathematics textbooks for its treatment of proof techniques and graph theory, topics discussed also include logic, relations and functions (especially equivalence relations and bijective functions), algorithms and analysis of algorithms, introduction to number theory, combinatorics (counting, the Pascal triangle, and the binomial theorem), discrete probability, partially ordered sets, lattices and Boolean algebras, cryptography, and finite-state machines. This highly versatile text provides mathematical background used in a wide variety of disciplines, including mathematics and mathematics education, computer science, biology, chemistry, engineering, communications, and business. Some of the major features and strengths of this textbook Numerous, carefully explained examples and applications facilitate learning. More than 1,600 exercises, ranging from elementary to challenging, are included with hints/answers to all odd-numbered exercises. Descriptions of proof techniques are accessible and lively. Students benefit from the historical discussions throughout the textbook. |
| boolean algebra de morgan's law: Discrete Structures, Logic, and Computability James L. Hein, 2001 Discrete Structure, Logic, and Computability introduces the beginning computer science student to some of the fundamental ideas and techniques used by computer scientists today, focusing on discrete structures, logic, and computability. The emphasis is on the computational aspects, so that the reader can see how the concepts are actually used. Because of logic's fundamental importance to computer science, the topic is examined extensively in three phases that cover informal logic, the technique of inductive proof; and formal logic and its applications to computer science. |
| boolean algebra de morgan's law: Topics in Discrete Mathematics Satinder Bal Gupta, Parmanand Gupta, 2006 |
| boolean algebra de morgan's law: Electronic and Electrical Engineering Lionel Warnes, 2017-03-14 A third edition of this popular text which provides a foundation in electronic and electrical engineering for HND and undergraduate students. The book offers exceptional breadth of coverage without sacrificing depth. It uses a wealth of practical examples to illustrate the theory, and makes no excessive demands on the reader's mathematical skills. Ideal as a teaching tool or for self-study. |
| boolean algebra de morgan's law: Electrical & Electronics Engineering Solved Papers YCT Expert Team , 2023-24 PGCIL JE Electrical & Electronics Engineering Solved Papers |
| boolean algebra de morgan's law: DISCRETE MATHEMATICS B. R. THAKUR, V. K. GUPTA, GAJENDRA UJJAINKAR, RAM PRASAD, RP UNIFIED, RPP, GANIT, THAKUR KISHAN |
Boolean algebra - Wikipedia
In mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the variables are the truth values true and …
What is a Boolean? - Computer Hope
Jun 1, 2025 · In computer science, a boolean or bool is a data type with two possible values: true or false. It is named after the English mathematician and logician George Boole, whose …
BOOLEAN Definition & Meaning - Merriam-Webster
The meaning of BOOLEAN is of, relating to, or being a logical combinatorial system (such as Boolean algebra) that represents symbolically relationships (such as those implied by the …
How Boolean Logic Works - HowStuffWorks
May 22, 2024 · A subsection of mathematical logic, Boolean logic deals with operations involving the two Boolean values: true and false. Although Boolean logic dates back to the mid-19th …
Boolean Algebra - GeeksforGeeks
Apr 15, 2025 · Boolean Algebra is a branch of algebra that deals with boolean values—true and false. It is fundamental to digital logic design and computer science, providing a mathematical …
What Boolean Logic Is & How It’s Used In Programming
Mar 21, 2022 · Boolean logic is a type of algebra in which results are calculated as either TRUE or FALSE (known as truth values or truth variables). Instead of using arithmetic operators like …
What is Boolean in computing? – TechTarget Definition
Nov 7, 2022 · In computing, the term Boolean means a result that can only have one of two possible values: true or false. Boolean logic takes two statements or expressions and applies …
Boolean Algebra - Math is Fun
Boolean Algebra is about true and false and logic. The simplest thing we can do is to "not" or "invert": We can write this down in a "truth table" (we use T for true and F for false): We can …
Boolean - Wikipedia
Any kind of logic, function, expression, or theory based on the work of George Boole is considered Boolean. Related to this, "Boolean" may refer to: Boolean circuit, a mathematical model for …
What Is a Boolean Search? - Lifewire
Jun 12, 2023 · Boolean searches use operators (AND, OR, NOT) to help you get better results. Learn what it means and how to do a Boolean web search.
Boolean algebra - Wikipedia
In mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the variables are the truth values true and …
What is a Boolean? - Computer Hope
Jun 1, 2025 · In computer science, a boolean or bool is a data type with two possible values: true or false. It is named after the English mathematician and logician George Boole, whose …
BOOLEAN Definition & Meaning - Merriam-Webster
The meaning of BOOLEAN is of, relating to, or being a logical combinatorial system (such as Boolean algebra) that represents symbolically relationships (such as those implied by the …
How Boolean Logic Works - HowStuffWorks
May 22, 2024 · A subsection of mathematical logic, Boolean logic deals with operations involving the two Boolean values: true and false. Although Boolean logic dates back to the mid-19th …
Boolean Algebra - GeeksforGeeks
Apr 15, 2025 · Boolean Algebra is a branch of algebra that deals with boolean values—true and false. It is fundamental to digital logic design and computer science, providing a mathematical …
What Boolean Logic Is & How It’s Used In Programming
Mar 21, 2022 · Boolean logic is a type of algebra in which results are calculated as either TRUE or FALSE (known as truth values or truth variables). Instead of using arithmetic operators like …
What is Boolean in computing? – TechTarget Definition
Nov 7, 2022 · In computing, the term Boolean means a result that can only have one of two possible values: true or false. Boolean logic takes two statements or expressions and applies …
Boolean Algebra - Math is Fun
Boolean Algebra is about true and false and logic. The simplest thing we can do is to "not" or "invert": We can write this down in a "truth table" (we use T for true and F for false): We can …
Boolean - Wikipedia
Any kind of logic, function, expression, or theory based on the work of George Boole is considered Boolean. Related to this, "Boolean" may refer to: Boolean circuit, a mathematical model for …
What Is a Boolean Search? - Lifewire
Jun 12, 2023 · Boolean searches use operators (AND, OR, NOT) to help you get better results. Learn what it means and how to do a Boolean web search.
