Introduction To Discrete Structures For Computer Science And Engineering
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Introduction To Discrete Structures For Computer Science And Engineering
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Author : Franco P. Preparata
language : en
Publisher: Addison Wesley Publishing Company
Release Date : 1973
Introduction To Discrete Structures For Computer Science And Engineering written by Franco P. Preparata and has been published by Addison Wesley Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Mathematics categories.
Sets and binary relations; Graphs. Algebraic structures. Lattices; Boolean algebras. A teste of combinatorics. Algorithms and turing machines. Prerequisite structure and teaching plans.
Mathematics Of Discrete Structures For Computer Science
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Author : Gordon J. Pace
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-09-13
Mathematics Of Discrete Structures For Computer Science written by Gordon J. Pace 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 2012-09-13 with Computers categories.
Mathematics plays a key role in computer science, some researchers would consider computers as nothing but the physical embodiment of mathematical systems. And whether you are designing a digital circuit, a computer program or a new programming language, you need mathematics to be able to reason about the design -- its correctness, robustness and dependability. This book covers the foundational mathematics necessary for courses in computer science. The common approach to presenting mathematical concepts and operators is to define them in terms of properties they satisfy, and then based on these definitions develop ways of computing the result of applying the operators and prove them correct. This book is mainly written for computer science students, so here the author takes a different approach: he starts by defining ways of calculating the results of applying the operators and then proves that they satisfy various properties. After justifying his underlying approach the author offers detailed chapters covering propositional logic, predicate calculus, sets, relations, discrete structures, structured types, numbers, and reasoning about programs. The book contains chapter and section summaries, detailed proofs and many end-of-section exercises -- key to the learning process. The book is suitable for undergraduate and graduate students, and although the treatment focuses on areas with frequent applications in computer science, the book is also suitable for students of mathematics and engineering.
Introduction To Discrete Structures For Computer Science And Engineering
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Author : Franco P. Preparata
language : en
Publisher:
Release Date : 1974
Introduction To Discrete Structures For Computer Science And Engineering written by Franco P. Preparata and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with categories.
Discrete Mathematics For Computer Science
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Author : Jon Pierre Fortney
language : en
Publisher: CRC Press
Release Date : 2020-12-23
Discrete Mathematics For Computer Science written by Jon Pierre Fortney and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-23 with Mathematics categories.
Discrete Mathematics for Computer Science: An Example-Based Introduction is intended for a first- or second-year discrete mathematics course for computer science majors. It covers many important mathematical topics essential for future computer science majors, such as algorithms, number representations, logic, set theory, Boolean algebra, functions, combinatorics, algorithmic complexity, graphs, and trees. Features Designed to be especially useful for courses at the community-college level Ideal as a first- or second-year textbook for computer science majors, or as a general introduction to discrete mathematics Written to be accessible to those with a limited mathematics background, and to aid with the transition to abstract thinking Filled with over 200 worked examples, boxed for easy reference, and over 200 practice problems with answers Contains approximately 40 simple algorithms to aid students in becoming proficient with algorithm control structures and pseudocode Includes an appendix on basic circuit design which provides a real-world motivational example for computer science majors by drawing on multiple topics covered in the book to design a circuit that adds two eight-digit binary numbers Jon Pierre Fortney graduated from the University of Pennsylvania in 1996 with a BA in Mathematics and Actuarial Science and a BSE in Chemical Engineering. Prior to returning to graduate school, he worked as both an environmental engineer and as an actuarial analyst. He graduated from Arizona State University in 2008 with a PhD in Mathematics, specializing in Geometric Mechanics. Since 2012, he has worked at Zayed University in Dubai. This is his second mathematics textbook.
Lectures On Discrete Mathematics For Computer Science
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Author : Khoussainov Bakhadyr M
language : en
Publisher: World Scientific Publishing Company
Release Date : 2012-03-21
Lectures On Discrete Mathematics For Computer Science written by Khoussainov Bakhadyr M and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-21 with Mathematics categories.
This textbook presents fundamental topics in discrete mathematics introduced from the perspectives of a pure mathematician and an applied computer scientist. The synergy between the two complementary perspectives is seen throughout the book; key concepts are motivated and explained through real-world examples, and yet are still formalized with mathematical rigor. The book is an excellent introduction to discrete mathematics for computer science, software engineering, and mathematics students.The first author is a leading mathematician in the area of logic, computability, and theoretical computer science, with more than 25 years of teaching and research experience. The second author is a computer science PhD student at the University of Washington specializing in database systems. The father-and-daughter team merges two different views to create a unified book for students interested in learning discrete mathematics, the connections between discrete mathematics and computer science, and the mathematical foundations of computer science.Readers will learn how to formally define abstract concepts, reason about objects (such as programs, graphs and numbers), investigate properties of algorithms, and prove their correctness. The textbook studies several well-known algorithmic problems including the path problem for graphs and finding the greatest common divisor, inductive definitions, proofs of correctness of algorithms via loop invariants and induction, the basics of formal methods such as propositional logic, finite state machines, counting, probability, as well as the foundations of databases such as relational calculus.
Introduction To Discrete Mathematics For Software Engineering
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Author : Tim Denvir
language : en
Publisher: Free Press
Release Date : 1987
Introduction To Discrete Mathematics For Software Engineering written by Tim Denvir and has been published by Free Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Mathematics categories.
Discrete Mathematics For Computer Science
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Author : Gary Haggard
language : en
Publisher: Cengage Learning
Release Date : 2006
Discrete Mathematics For Computer Science written by Gary Haggard and has been published by Cengage Learning this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Computers categories.
Master the fundamentals of discrete mathematics with DISCRETE MATHEMATICS FOR COMPUTER SCIENCE with Student Solutions Manual CD-ROM! An increasing number of computer scientists from diverse areas are using discrete mathematical structures to explain concepts and problems and this mathematics text shows you how to express precise ideas in clear mathematical language. Through a wealth of exercises and examples, you will learn how mastering discrete mathematics will help you develop important reasoning skills that will continue to be useful throughout your career.
Discrete Computational Structures
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Author : Robert R. Korfhage
language : en
Publisher: Academic Press
Release Date : 2014-05-12
Discrete Computational Structures written by Robert R. Korfhage and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-12 with Reference categories.
Discrete Computational Structures describes discrete mathematical concepts that are important to computing, covering necessary mathematical fundamentals, computer representation of sets, graph theory, storage minimization, and bandwidth. The book also explains conceptual framework (Gorn trees, searching, subroutines) and directed graphs (flowcharts, critical paths, information network). The text discusses algebra particularly as it applies to concentrates on semigroups, groups, lattices, propositional calculus, including a new tabular method of Boolean function minimization. The text emphasizes combinatorics and probability. Examples show different techniques of the general process of enumerating objects. Combinatorics cover permutations, enumerators for combinations, Stirling numbers, cycle classes of permutations, partitions, and compositions. The book cites as example the interplay between discrete mathematics and computing using a system of distinct representatives (SDR) problem. The problem, originating from group theory, graph theory, and set theory can be worked out by the student with a network model involving computers to generate and analyze different scenarios. The book is intended for sophomore or junior level, corresponding to the course B3, "Introduction to Discrete Structures," in the ACM Curriculum 68, as well as for mathematicians or professors of computer engineering and advanced mathematics.
Introduction To Discrete Mathematics Via Logic And Proof
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Author : Calvin Jongsma
language : en
Publisher: Springer Nature
Release Date : 2019-11-08
Introduction To Discrete Mathematics Via Logic And Proof written by Calvin Jongsma and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-11-08 with Mathematics categories.
This textbook introduces discrete mathematics by emphasizing the importance of reading and writing proofs. Because it begins by carefully establishing a familiarity with mathematical logic and proof, this approach suits not only a discrete mathematics course, but can also function as a transition to proof. Its unique, deductive perspective on mathematical logic provides students with the tools to more deeply understand mathematical methodology—an approach that the author has successfully classroom tested for decades. Chapters are helpfully organized so that, as they escalate in complexity, their underlying connections are easily identifiable. Mathematical logic and proofs are first introduced before moving onto more complex topics in discrete mathematics. Some of these topics include: Mathematical and structural induction Set theory Combinatorics Functions, relations, and ordered sets Boolean algebra and Boolean functions Graph theory Introduction to Discrete Mathematics via Logic and Proof will suit intermediate undergraduates majoring in mathematics, computer science, engineering, and related subjects with no formal prerequisites beyond a background in secondary mathematics.
An Introduction To Discrete Mathematics Formal System Specification And Z
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Author : Darrel Ince
language : en
Publisher: Oxford University Press on Demand
Release Date : 1992
An Introduction To Discrete Mathematics Formal System Specification And Z written by Darrel Ince and has been published by Oxford University Press on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Computers categories.
Formal specification is the name given to the use of discrete mathematics in computer science for describing the function of both hardware and software systems. Poor specification often gives rise to severe problems in software and hardware installation. This textbook is an introduction to both the theory and practice of formal specification, and this new edition includes two new chapters on Z, one giving a number of small examples in Z, the other covering design and Z. Prerequisites in this edition have been kept to a minimum since Professor Ince is at pains to develop the techniques of requirement analysis and discrete mathematics that are needed. Throughout the book are numerous worked examples and exercises which include many real examples of software and computer systems.