Discrete Mathematics For Computer Scientists Pdf
Author | : Harry Lewis,Rachel Zax |
Publsiher | : Princeton University Press |
Total Pages | : 408 |
Release | : 2019-03-19 |
ISBN 10 | : 0691179298 |
ISBN 13 | : 9780691179292 |
Language | : EN, FR, DE, ES & NL |
Essential Discrete Mathematics for Computer Science Book Review:
A more intuitive approach to the mathematical foundation of computer science Discrete mathematics is the basis of much of computer science, from algorithms and automata theory to combinatorics and graph theory. This textbook covers the discrete mathematics that every computer science student needs to learn. Guiding students quickly through thirty-one short chapters that discuss one major topic each, this flexible book can be tailored to fit the syllabi for a variety of courses. Proven in the classroom, Essential Discrete Mathematics for Computer Science aims to teach mathematical reasoning as well as concepts and skills by stressing the art of proof. It is fully illustrated in color, and each chapter includes a concise summary as well as a set of exercises. The text requires only precalculus, and where calculus is needed, a quick summary of the basic facts is provided. Essential Discrete Mathematics for Computer Science is the ideal introductory textbook for standard undergraduate courses, and is also suitable for high school courses, distance education for adult learners, and self-study. The essential introduction to discrete mathematics Features thirty-one short chapters, each suitable for a single class lesson Includes more than 300 exercises Almost every formula and theorem proved in full Breadth of content makes the book adaptable to a variety of courses Each chapter includes a concise summary Solutions manual available to instructors
Author | : Tom Jenkyns,Ben Stephenson |
Publsiher | : Springer Science & Business Media |
Total Pages | : 416 |
Release | : 2012-10-16 |
ISBN 10 | : 1447140699 |
ISBN 13 | : 9781447140696 |
Language | : EN, FR, DE, ES & NL |
Fundamentals of Discrete Math for Computer Science Book Review:
This textbook provides an engaging and motivational introduction to traditional topics in discrete mathematics, in a manner specifically designed to appeal to computer science students. The text empowers students to think critically, to be effective problem solvers, to integrate theory and practice, and to recognize the importance of abstraction. Clearly structured and interactive in nature, the book presents detailed walkthroughs of several algorithms, stimulating a conversation with the reader through informal commentary and provocative questions. Features: no university-level background in mathematics required; ideally structured for classroom-use and self-study, with modular chapters following ACM curriculum recommendations; describes mathematical processes in an algorithmic manner; contains examples and exercises throughout the text, and highlights the most important concepts in each section; selects examples that demonstrate a practical use for the concept in question.
Author | : Jon Pierre Fortney |
Publsiher | : CRC Press |
Total Pages | : 272 |
Release | : 2020-12-23 |
ISBN 10 | : 1000296644 |
ISBN 13 | : 9781000296648 |
Language | : EN, FR, DE, ES & NL |
Discrete Mathematics for Computer Science Book Review:
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.
Author | : Cliff L Stein,Robert Drysdale,Kenneth Bogart |
Publsiher | : Pearson Higher Ed |
Total Pages | : 528 |
Release | : 2011-11-21 |
ISBN 10 | : 0133001296 |
ISBN 13 | : 9780133001297 |
Language | : EN, FR, DE, ES & NL |
Discrete Mathematics for Computer Scientists Book Review:
This is the eBook of the printed book and may not include any media, website access codes, or print supplements that may come packaged with the bound book. Stein/Drysdale/Bogart's Discrete Mathematics for Computer Scientists is ideal for computer science students taking the discrete math course. Written specifically for computer science students, this unique textbook directly addresses their needs by providing a foundation in discrete math while using motivating, relevant CS applications. This text takes an active-learning approach where activities are presented as exercises and the material is then fleshed out through explanations and extensions of the exercises.
Author | : Todd Feil,Joan Krone |
Publsiher | : Unknown |
Total Pages | : 216 |
Release | : 2003 |
ISBN 10 | : 9780130186614 |
ISBN 13 | : 0130186619 |
Language | : EN, FR, DE, ES & NL |
Essential Discrete Mathematics for Computer Science Book Review:
This book introduces readers to the mathematics of computer science and prepares them for the math they will encounter in other college courses. It includes applications that are specific to computer science, helps learners to develop reasoning skills, and provides the fundamental mathematics necessary for computer scientists. Chapter topics include sets, functions and relations, Boolean algebra, natural numbers and induction, number theory, recursion, solving recurrences, counting, matrices, and graphs. For computer scientists and the enhancement of programming skills.
Author | : Joe L. Mott,Abraham Kandel,Theodore P. Baker |
Publsiher | : Unknown |
Total Pages | : 562 |
Release | : 1983 |
ISBN 10 | : 1928374650XXX |
ISBN 13 | : UOM:39015004564343 |
Language | : EN, FR, DE, ES & NL |
Discrete Mathematics for Computer Scientists Book Review:
Provides computer science students with a foundation in discrete mathematics using relevant computer science applications.
Author | : Eric Lehman,F. Thomson Leighton,Albert R. Meyer |
Publsiher | : Unknown |
Total Pages | : 988 |
Release | : 2017-03-08 |
ISBN 10 | : 9789888407064 |
ISBN 13 | : 9888407066 |
Language | : EN, FR, DE, ES & NL |
Mathematics for Computer Science Book Review:
This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation, proof methods; induction, well-ordering; sets, relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations, counting principles; discrete probability. Further selected topics may also be covered, such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.
Author | : Gordon J. Pace |
Publsiher | : Springer Science & Business Media |
Total Pages | : 296 |
Release | : 2012-07-09 |
ISBN 10 | : 3642298397 |
ISBN 13 | : 9783642298394 |
Language | : EN, FR, DE, ES & NL |
Mathematics of Discrete Structures for Computer Science Book Review:
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.
Author | : Jean Gallier |
Publsiher | : Springer Science & Business Media |
Total Pages | : 466 |
Release | : 2011-02-01 |
ISBN 10 | : 9781441980472 |
ISBN 13 | : 1441980474 |
Language | : EN, FR, DE, ES & NL |
Discrete Mathematics Book Review:
This books gives an introduction to discrete mathematics for beginning undergraduates. One of original features of this book is that it begins with a presentation of the rules of logic as used in mathematics. Many examples of formal and informal proofs are given. With this logical framework firmly in place, the book describes the major axioms of set theory and introduces the natural numbers. The rest of the book is more standard. It deals with functions and relations, directed and undirected graphs, and an introduction to combinatorics. There is a section on public key cryptography and RSA, with complete proofs of Fermat's little theorem and the correctness of the RSA scheme, as well as explicit algorithms to perform modular arithmetic. The last chapter provides more graph theory. Eulerian and Hamiltonian cycles are discussed. Then, we study flows and tensions and state and prove the max flow min-cut theorem. We also discuss matchings, covering, bipartite graphs.
Author | : Edward A. Bender,S. Gill Williamson |
Publsiher | : Courier Corporation |
Total Pages | : 240 |
Release | : 2005 |
ISBN 10 | : 0486439461 |
ISBN 13 | : 9780486439464 |
Language | : EN, FR, DE, ES & NL |
A Short Course in Discrete Mathematics Book Review:
What sort of mathematics do I need for computer science? In response to this frequently asked question, a pair of professors at the University of California at San Diego created this text. Its sources are two of the university's most basic courses: Discrete Mathematics, and Mathematics for Algorithm and System Analysis. Intended for use by sophomores in the first of a two-quarter sequence, the text assumes some familiarity with calculus. Topics include Boolean functions and computer arithmetic; logic; number theory and cryptography; sets and functions; equivalence and order; and induction, sequences, and series. Multiple choice questions for review appear throughout the text. Original 2005 edition. Notation Index. Subject Index.
Author | : V. K . Balakrishnan |
Publsiher | : Courier Corporation |
Total Pages | : 256 |
Release | : 2012-04-30 |
ISBN 10 | : 0486140385 |
ISBN 13 | : 9780486140384 |
Language | : EN, FR, DE, ES & NL |
Introductory Discrete Mathematics Book Review:
This concise, undergraduate-level text focuses on combinatorics, graph theory with applications to some standard network optimization problems, and algorithms. More than 200 exercises, many with complete solutions. 1991 edition.
Author | : Ryan T. White,Archana Tikayat Ray |
Publsiher | : Packt Publishing Ltd |
Total Pages | : 330 |
Release | : 2021-02-22 |
ISBN 10 | : 1838983503 |
ISBN 13 | : 9781838983505 |
Language | : EN, FR, DE, ES & NL |
Practical Discrete Mathematics Book Review:
A practical guide simplifying discrete math for curious minds and demonstrating its application in solving problems related to software development, computer algorithms, and data science Key Features Apply the math of countable objects to practical problems in computer science Explore modern Python libraries such as scikit-learn, NumPy, and SciPy for performing mathematics Learn complex statistical and mathematical concepts with the help of hands-on examples and expert guidance Book Description Discrete mathematics deals with studying countable, distinct elements, and its principles are widely used in building algorithms for computer science and data science. The knowledge of discrete math concepts will help you understand the algorithms, binary, and general mathematics that sit at the core of data-driven tasks. Practical Discrete Mathematics is a comprehensive introduction for those who are new to the mathematics of countable objects. This book will help you get up to speed with using discrete math principles to take your computer science skills to a more advanced level. As you learn the language of discrete mathematics, you'll also cover methods crucial to studying and describing computer science and machine learning objects and algorithms. The chapters that follow will guide you through how memory and CPUs work. In addition to this, you'll understand how to analyze data for useful patterns, before finally exploring how to apply math concepts in network routing, web searching, and data science. By the end of this book, you'll have a deeper understanding of discrete math and its applications in computer science, and be ready to work on real-world algorithm development and machine learning. What you will learn Understand the terminology and methods in discrete math and their usage in algorithms and data problems Use Boolean algebra in formal logic and elementary control structures Implement combinatorics to measure computational complexity and manage memory allocation Use random variables, calculate descriptive statistics, and find average-case computational complexity Solve graph problems involved in routing, pathfinding, and graph searches, such as depth-first search Perform ML tasks such as data visualization, regression, and dimensionality reduction Who this book is for This book is for computer scientists looking to expand their knowledge of discrete math, the core topic of their field. University students looking to get hands-on with computer science, mathematics, statistics, engineering, or related disciplines will also find this book useful. Basic Python programming skills and knowledge of elementary real-number algebra are required to get started with this book.
Author | : David Liben-Nowell |
Publsiher | : John Wiley & Sons |
Total Pages | : 1209 |
Release | : 2017 |
ISBN 10 | : 9781118065532 |
ISBN 13 | : 1118065530 |
Language | : EN, FR, DE, ES & NL |
Discrete Mathematics for Computer Science Book Review:
Author | : David J. Hunter |
Publsiher | : Jones & Bartlett Publishers |
Total Pages | : 548 |
Release | : 2015-08-31 |
ISBN 10 | : 1284056244 |
ISBN 13 | : 9781284056242 |
Language | : EN, FR, DE, ES & NL |
Essentials of Discrete Mathematics Book Review:
Written for the one-term course, the Third Edition of Essentials of Discrete Mathematics is designed to serve computer science majors as well as students from a wide range of disciplines. The material is organized around five types of thinking: logical, relational, recursive, quantitative, and analytical. This presentation results in a coherent outline that steadily builds upon mathematical sophistication. Graphs are introduced early and referred to throughout the text, providing a richer context for examples and applications. tudents will encounter algorithms near the end of the text, after they have acquired the skills and experience needed to analyze them. The final chapter contains in-depth case studies from a variety of fields, including biology, sociology, linguistics, economics, and music.
Author | : Anonim |
Publsiher | : Bookboon |
Total Pages | : 135 |
Release | : 2021 |
ISBN 10 | : 8776814262 |
ISBN 13 | : 9788776814267 |
Language | : EN, FR, DE, ES & NL |
Mathematics for Computer Scientists Book Review:
Author | : J. K. Truss |
Publsiher | : Addison Wesley Publishing Company |
Total Pages | : 585 |
Release | : 1999 |
ISBN 10 | : 1928374650XXX |
ISBN 13 | : UOM:39015046908334 |
Language | : EN, FR, DE, ES & NL |
Discrete Mathematics for Computer Scientists Book Review:
This is a new edition of a successful introduction to discrete mathematics for computer scientists, updated and reorganised to be more appropriate for the modern day undergraduate audience. Discrete mathematics forms the theoretical basis for computer science and this text combines a rigorous approach to mathematical concepts with strong motivation of these techniques via practical examples. Key Features Thorough coverage of all area of discrete mathematics, including logic, natural numbers, coding theory, combinatorics, sets, algebraic functions, partially ordered structures, graphs, formal machines & complexity theory Special emphasis on the central role of propositional & predicate logic Full chapters on algorithm analysis & complexity theory Introductory coverage of formal machines & coding theory Over 700 exercises Flexible structure so that the material can be easily adapted for different teaching styles. New to this Edition Improved treatment of induction Coverage of more 'basic' algebra List of symbols including page references for definition/explantion Modern text design and new exercises to aid student comprehension 0201360616B04062001
Author | : Gunther Schmidt,Thomas Ströhlein |
Publsiher | : Springer Science & Business Media |
Total Pages | : 301 |
Release | : 2012-12-06 |
ISBN 10 | : 3642779689 |
ISBN 13 | : 9783642779688 |
Language | : EN, FR, DE, ES & NL |
Relations and Graphs Book Review:
Relational methods can be found at various places in computer science, notably in data base theory, relational semantics of concurrency, relationaltype theory, analysis of rewriting systems, and modern programming language design. In addition, they appear in algorithms analysis and in the bulk of discrete mathematics taught to computer scientists. This book is devoted to the background of these methods. It explains how to use relational and graph-theoretic methods systematically in computer science. A powerful formal framework of relational algebra is developed with respect to applications to a diverse range of problem areas. Results are first motivated by practical examples, often visualized by both Boolean 0-1-matrices and graphs, and then derived algebraically.
Author | : Cordelia Hall,John O'Donnell |
Publsiher | : Springer Science & Business Media |
Total Pages | : 339 |
Release | : 2013-04-17 |
ISBN 10 | : 1447136578 |
ISBN 13 | : 9781447136576 |
Language | : EN, FR, DE, ES & NL |
Discrete Mathematics Using a Computer Book Review:
Several areas of mathematics find application throughout computer science, and all students of computer science need a practical working understanding of them. These core subjects are centred on logic, sets, recursion, induction, relations and functions. The material is often called discrete mathematics, to distinguish it from the traditional topics of continuous mathematics such as integration and differential equations. The central theme of this book is the connection between computing and discrete mathematics. This connection is useful in both directions: • Mathematics is used in many branches of computer science, in applica tions including program specification, datastructures,design and analysis of algorithms, database systems, hardware design, reasoning about the correctness of implementations, and much more; • Computers can help to make the mathematics easier to learn and use, by making mathematical terms executable, making abstract concepts more concrete, and through the use of software tools such as proof checkers. These connections are emphasised throughout the book. Software tools (see Appendix A) enable the computer to serve as a calculator, but instead of just doing arithmetic and trigonometric functions, it will be used to calculate with sets, relations, functions, predicates and inferences. There are also special software tools, for example a proof checker for logical proofs using natural deduction.
Author | : Judith L. Gersting |
Publsiher | : W. H. Freeman |
Total Pages | : 784 |
Release | : 2014-01-01 |
ISBN 10 | : 9781429215107 |
ISBN 13 | : 1429215100 |
Language | : EN, FR, DE, ES & NL |
Mathematical Structures for Computer Science Book Review:
Judith Gersting's Mathematical Structures for Computer Science has long been acclaimed for its clear presentation of essential concepts and its exceptional range of applications relevant to computer science majors. Now with this new edition, it is the first discrete mathematics textbook revised to meet the proposed new ACM/IEEE standards for the course.
Author | : Thomas Koshy |
Publsiher | : Elsevier |
Total Pages | : 1042 |
Release | : 2004-01-19 |
ISBN 10 | : 0080477348 |
ISBN 13 | : 9780080477343 |
Language | : EN, FR, DE, ES & NL |
Discrete Mathematics with Applications Book Review:
This approachable text studies discrete objects and the relationsips that bind them. It helps students understand and apply the power of discrete math to digital computer systems and other modern applications. It provides excellent preparation for courses in linear algebra, number theory, and modern/abstract algebra and for computer science courses in data structures, algorithms, programming languages, compilers, databases, and computation. * Covers all recommended topics in a self-contained, comprehensive, and understandable format for students and new professionals * Emphasizes problem-solving techniques, pattern recognition, conjecturing, induction, applications of varying nature, proof techniques, algorithm development and correctness, and numeric computations * Weaves numerous applications into the text * Helps students learn by doing with a wealth of examples and exercises: - 560 examples worked out in detail - More than 3,700 exercises - More than 150 computer assignments - More than 600 writing projects * Includes chapter summaries of important vocabulary, formulas, and properties, plus the chapter review exercises * Features interesting anecdotes and biographies of 60 mathematicians and computer scientists * Instructor's Manual available for adopters * Student Solutions Manual available separately for purchase (ISBN: 0124211828)
Discrete Mathematics For Computer Scientists Pdf
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