Practical Discrete Mathematics

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Practical Discrete Mathematics

Author : Ryan T. White
Publisher : Packt Publishing Ltd
ISBN 13 : 1838983503
Total Pages : 330 pages
Book Rating : 4.8/5 (389 download)

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Book Synopsis Practical Discrete Mathematics by : Ryan T. White

Download or read book Practical Discrete Mathematics written by Ryan T. White and published by Packt Publishing Ltd. This book was released on 2021-02-22 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 FeaturesApply the math of countable objects to practical problems in computer scienceExplore modern Python libraries such as scikit-learn, NumPy, and SciPy for performing mathematicsLearn complex statistical and mathematical concepts with the help of hands-on examples and expert guidanceBook 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 learnUnderstand the terminology and methods in discrete math and their usage in algorithms and data problemsUse Boolean algebra in formal logic and elementary control structuresImplement combinatorics to measure computational complexity and manage memory allocationUse random variables, calculate descriptive statistics, and find average-case computational complexitySolve graph problems involved in routing, pathfinding, and graph searches, such as depth-first searchPerform ML tasks such as data visualization, regression, and dimensionality reductionWho 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.

Problems and Exercises in Discrete Mathematics

Author : G.P. Gavrilov
Publisher : Springer Science & Business Media
ISBN 13 : 9401727708
Total Pages : 430 pages
Book Rating : 4.4/5 (17 download)

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Book Synopsis Problems and Exercises in Discrete Mathematics by : G.P. Gavrilov

Download or read book Problems and Exercises in Discrete Mathematics written by G.P. Gavrilov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many years of practical experience in teaching discrete mathematics form the basis of this text book. Part I contains problems on such topics as Boolean algebra, k-valued logics, graphs and networks, elements of coding theory, automata theory, algorithms theory, combinatorics, Boolean minimization and logical design. The exercises are preceded by ample theoretical background material. For further study the reader is referred to the extensive bibliography. Part II follows the same structure as Part I, and gives helpful hints and solutions. Audience:This book will be of great value to undergraduate students of discrete mathematics, whereas the more difficult exercises, which comprise about one-third of the material, will also appeal to postgraduates and researchers.

The Discrete Math Workbook

Author : Sergei Kurgalin
Publisher : Springer
ISBN 13 : 3319926454
Total Pages : 485 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis The Discrete Math Workbook by : Sergei Kurgalin

Download or read book The Discrete Math Workbook written by Sergei Kurgalin and published by Springer. This book was released on 2018-07-31 with total page 485 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practically-oriented textbook presents an accessible introduction to discrete mathematics through a substantial collection of classroom-tested exercises. Each chapter opens with concise coverage of the theory underlying the topic, reviewing the basic concepts and establishing the terminology, as well as providing the key formulae and instructions on their use. This is then followed by a detailed account of the most common problems in the area, before the reader is invited to practice solving such problems for themselves through a varied series of questions and assignments. Topics and features: provides an extensive set of exercises and examples of varying levels of complexity, suitable for both laboratory practical training and self-study; offers detailed solutions to many problems, applying commonly-used methods and computational schemes; introduces the fundamentals of mathematical logic, the theory of algorithms, Boolean algebra, graph theory, sets, relations, functions, and combinatorics; presents more advanced material on the design and analysis of algorithms, including asymptotic analysis, and parallel algorithms; includes reference lists of trigonometric and finite summation formulae in an appendix, together with basic rules for differential and integral calculus. This hands-on study guide is designed to address the core needs of undergraduate students training in computer science, informatics, and electronic engineering, emphasizing the skills required to develop and implement an algorithm in a specific programming language.

Discrete Mathematics Using a Computer

Author : Cordelia Hall
Publisher : Springer Science & Business Media
ISBN 13 : 1447136578
Total Pages : 345 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Discrete Mathematics Using a Computer by : Cordelia Hall

Download or read book Discrete Mathematics Using a Computer written by Cordelia Hall and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Essence of Discrete Mathematics

Author : Neville Dean
Publisher :
ISBN 13 : 9780133459432
Total Pages : 212 pages
Book Rating : 4.4/5 (594 download)

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Book Synopsis The Essence of Discrete Mathematics by : Neville Dean

Download or read book The Essence of Discrete Mathematics written by Neville Dean and published by . This book was released on 1997 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presenting a gentle introduction to all the basics of discrete mathematics, this book introduces sets, propositional logic, predicate logic, and mathematical models. It discusses relations, including homogeneous relations.

Discrete Mathematics in the Schools

Author : Joseph G. Rosenstein
Publisher : American Mathematical Soc.
ISBN 13 : 0821811371
Total Pages : 489 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Discrete Mathematics in the Schools by : Joseph G. Rosenstein

Download or read book Discrete Mathematics in the Schools written by Joseph G. Rosenstein and published by American Mathematical Soc.. This book was released on 1997 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of articles written by experienced primary, secondary, and collegiate educators. It explains why discrete mathematics should be taught in K-12 classrooms and offers guidance on how to do so. It offers school and district curriculum leaders material that addresses how discrete mathematics can be introduced into their curricula.

Discrete Mathematics for Computer Science

Author : Jon Pierre Fortney
Publisher : CRC Press
ISBN 13 : 1000296644
Total Pages : 272 pages
Book Rating : 4.0/5 (2 download)

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Book Synopsis Discrete Mathematics for Computer Science by : Jon Pierre Fortney

Download or read book Discrete Mathematics for Computer Science written by Jon Pierre Fortney and published by CRC Press. This book was released on 2020-12-23 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Discrete Mathematics

Author : Babu Ram
Publisher : Pearson Education India
ISBN 13 : 9788131733103
Total Pages : 588 pages
Book Rating : 4.7/5 (331 download)

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Book Synopsis Discrete Mathematics by : Babu Ram

Download or read book Discrete Mathematics written by Babu Ram and published by Pearson Education India. This book was released on 2012 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete Mathematics will be of use to any undergraduate as well as post graduate courses in Computer Science and Mathematics. The syllabi of all these courses have been studied in depth and utmost care has been taken to ensure that all the essential topics in discrete structures are adequately emphasized. The book will enable the students to develop the requisite computational skills needed in software engineering.

Discrete Mathematics with Proof

Author : Eric Gossett
Publisher : John Wiley & Sons
ISBN 13 : 0470457937
Total Pages : 932 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Discrete Mathematics with Proof by : Eric Gossett

Download or read book Discrete Mathematics with Proof written by Eric Gossett and published by John Wiley & Sons. This book was released on 2009-06-22 with total page 932 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Trusted Guide to Discrete Mathematics with Proof?Now in a Newly Revised Edition Discrete mathematics has become increasingly popular in recent years due to its growing applications in the field of computer science. Discrete Mathematics with Proof, Second Edition continues to facilitate an up-to-date understanding of this important topic, exposing readers to a wide range of modern and technological applications. The book begins with an introductory chapter that provides an accessible explanation of discrete mathematics. Subsequent chapters explore additional related topics including counting, finite probability theory, recursion, formal models in computer science, graph theory, trees, the concepts of functions, and relations. Additional features of the Second Edition include: An intense focus on the formal settings of proofs and their techniques, such as constructive proofs, proof by contradiction, and combinatorial proofs New sections on applications of elementary number theory, multidimensional induction, counting tulips, and the binomial distribution Important examples from the field of computer science presented as applications including the Halting problem, Shannon's mathematical model of information, regular expressions, XML, and Normal Forms in relational databases Numerous examples that are not often found in books on discrete mathematics including the deferred acceptance algorithm, the Boyer-Moore algorithm for pattern matching, Sierpinski curves, adaptive quadrature, the Josephus problem, and the five-color theorem Extensive appendices that outline supplemental material on analyzing claims and writing mathematics, along with solutions to selected chapter exercises Combinatorics receives a full chapter treatment that extends beyond the combinations and permutations material by delving into non-standard topics such as Latin squares, finite projective planes, balanced incomplete block designs, coding theory, partitions, occupancy problems, Stirling numbers, Ramsey numbers, and systems of distinct representatives. A related Web site features animations and visualizations of combinatorial proofs that assist readers with comprehension. In addition, approximately 500 examples and over 2,800 exercises are presented throughout the book to motivate ideas and illustrate the proofs and conclusions of theorems. Assuming only a basic background in calculus, Discrete Mathematics with Proof, Second Edition is an excellent book for mathematics and computer science courses at the undergraduate level. It is also a valuable resource for professionals in various technical fields who would like an introduction to discrete mathematics.

Discrete Mathematics for Computer Science

Author : Gary Haggard
Publisher : Cengage Learning
ISBN 13 : 9780534495015
Total Pages : 0 pages
Book Rating : 4.4/5 (95 download)

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Book Synopsis Discrete Mathematics for Computer Science by : Gary Haggard

Download or read book Discrete Mathematics for Computer Science written by Gary Haggard and published by Cengage Learning. This book was released on 2006 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Mathematics

Author : Rowan Garnier
Publisher : Taylor & Francis
ISBN 13 : 1439812810
Total Pages : 847 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Discrete Mathematics by : Rowan Garnier

Download or read book Discrete Mathematics written by Rowan Garnier and published by Taylor & Francis. This book was released on 2009-11-09 with total page 847 pages. Available in PDF, EPUB and Kindle. Book excerpt: Taking an approach to the subject that is suitable for a broad readership, Discrete Mathematics: Proofs, Structures, and Applications, Third Edition provides a rigorous yet accessible exposition of discrete mathematics, including the core mathematical foundation of computer science. The approach is comprehensive yet maintains an easy-to-follow prog

The Discrete Math Workbook

Author : Sergei Kurgalin
Publisher : Springer Nature
ISBN 13 : 3030422216
Total Pages : 507 pages
Book Rating : 4.0/5 (34 download)

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Book Synopsis The Discrete Math Workbook by : Sergei Kurgalin

Download or read book The Discrete Math Workbook written by Sergei Kurgalin and published by Springer Nature. This book was released on 2020-08-12 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: This practically-focused study guide introduces the fundamentals of discrete mathematics through an extensive set of classroom-tested problems. Each chapter presents a concise introduction to the relevant theory, followed by a detailed account of common challenges and methods for overcoming these. The reader is then encouraged to practice solving such problems for themselves, by tackling a varied selection of questions and assignments of different levels of complexity. This updated second edition now covers the design and analysis of algorithms using Python, and features more than 50 new problems, complete with solutions. Topics and features: provides a substantial collection of problems and examples of varying levels of difficulty, suitable for both laboratory practical training and self-study; offers detailed solutions to each problem, applying commonly-used methods and computational schemes; introduces the fundamentals of mathematical logic, the theory of algorithms, Boolean algebra, graph theory, sets, relations, functions, and combinatorics; presents more advanced material on the design and analysis of algorithms, including Turing machines, asymptotic analysis, and parallel algorithms; includes reference lists of trigonometric and finite summation formulae in an appendix, together with basic rules for differential and integral calculus. This hands-on workbook is an invaluable resource for undergraduate students of computer science, informatics, and electronic engineering. Suitable for use in a one- or two-semester course on discrete mathematics, the text emphasizes the skills required to develop and implement an algorithm in a specific programming language.

Fundamentals of Discrete Math for Computer Science

Author : Tom Jenkyns
Publisher : Springer Science & Business Media
ISBN 13 : 1447140699
Total Pages : 424 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Fundamentals of Discrete Math for Computer Science by : Tom Jenkyns

Download or read book Fundamentals of Discrete Math for Computer Science written by Tom Jenkyns and published by Springer Science & Business Media. This book was released on 2012-10-16 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Discrete Mathematics for Computer Scientists

Author : Clifford Stein
Publisher :
ISBN 13 : 9780131377103
Total Pages : 525 pages
Book Rating : 4.3/5 (771 download)

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Book Synopsis Discrete Mathematics for Computer Scientists by : Clifford Stein

Download or read book Discrete Mathematics for Computer Scientists written by Clifford Stein and published by . This book was released on 2011 with total page 525 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Discrete Mathematics with Applications, Metric Edition

Author : Susanna Epp
Publisher :
ISBN 13 : 9780357114087
Total Pages : 984 pages
Book Rating : 4.1/5 (14 download)

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Book Synopsis Discrete Mathematics with Applications, Metric Edition by : Susanna Epp

Download or read book Discrete Mathematics with Applications, Metric Edition written by Susanna Epp and published by . This book was released on 2019 with total page 984 pages. Available in PDF, EPUB and Kindle. Book excerpt: DISCRETE MATHEMATICS WITH APPLICATIONS, 5th Edition, Metric Edition explains complex, abstract concepts with clarity and precision and provides a strong foundation for computer science and upper-level mathematics courses of the computer age. Author Susanna Epp presents not only the major themes of discrete mathematics, but also the reasoning that underlies mathematical thought. Students develop the ability to think abstractly as they study the ideas of logic and proof. While learning about such concepts as logic circuits and computer addition, algorithm analysis, recursive thinking, computability, automata, cryptography and combinatorics, students discover that the ideas of discrete mathematics underlie and are essential to today's science and technology.

Practical Foundations of Mathematics

Author : Paul Taylor
Publisher : Cambridge University Press
ISBN 13 : 9780521631075
Total Pages : 590 pages
Book Rating : 4.6/5 (31 download)

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Book Synopsis Practical Foundations of Mathematics by : Paul Taylor

Download or read book Practical Foundations of Mathematics written by Paul Taylor and published by Cambridge University Press. This book was released on 1999-05-13 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about the basis of mathematical reasoning both in pure mathematics itself (particularly algebra and topology) and in computer science (how and what it means to prove correctness of programs). It contains original material and original developments of standard material, so it is also for professional researchers, but as it deliberately transcends disciplinary boundaries and challenges many established attitudes to the foundations of mathematics, the reader is expected to be open minded about these things.

Foundations of Discrete Mathematics with Algorithms and Programming

Author : R. Balakrishnan
Publisher : CRC Press
ISBN 13 : 1351019120
Total Pages : 361 pages
Book Rating : 4.3/5 (51 download)

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Book Synopsis Foundations of Discrete Mathematics with Algorithms and Programming by : R. Balakrishnan

Download or read book Foundations of Discrete Mathematics with Algorithms and Programming written by R. Balakrishnan and published by CRC Press. This book was released on 2018-10-26 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete Mathematics has permeated the whole of mathematics so much so it has now come to be taught even at the high school level. This book presents the basics of Discrete Mathematics and its applications to day-to-day problems in several areas. This book is intended for undergraduate students of Computer Science, Mathematics and Engineering. A number of examples have been given to enhance the understanding of concepts. The programming languages used are Pascal and C.