Comprehensive Discrete Mathematics

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Discrete Mathematics

Oscar Levin
Discrete Mathematics Book PDF

Author : Oscar Levin
Publisher : Createspace Independent Publishing Platform
Page : 238 pages
File Size : 42,5 Mb
Release : 2018-07-30
Category : Electronic
ISBN : 1724572636

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Discrete Mathematics by Oscar Levin Pdf

Note: This is a custom edition of Levin's full Discrete Mathematics text, arranged specifically for use in a discrete math course for future elementary and middle school teachers. (It is NOT a new and updated edition of the main text.)This gentle introduction to discrete mathematics is written for first and second year math majors, especially those who intend to teach. The text began as a set of lecture notes for the discrete mathematics course at the University of Northern Colorado. This course serves both as an introduction to topics in discrete math and as the "introduction to proof" course for math majors. The course is usually taught with a large amount of student inquiry, and this text is written to help facilitate this.Four main topics are covered: counting, sequences, logic, and graph theory. Along the way proofs are introduced, including proofs by contradiction, proofs by induction, and combinatorial proofs.While there are many fine discrete math textbooks available, this text has the following advantages: - It is written to be used in an inquiry rich course.- It is written to be used in a course for future math teachers.- It is open source, with low cost print editions and free electronic editions.

Essential Discrete Mathematics for Computer Science

Harry Lewis,Rachel Zax
Essential Discrete Mathematics for Computer Science Book PDF

Author : Harry Lewis,Rachel Zax
Publisher : Princeton University Press
Page : 408 pages
File Size : 53,6 Mb
Release : 2019-03-19
Category : Computers
ISBN : 9780691179292

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Essential Discrete Mathematics for Computer Science by Harry Lewis,Rachel Zax Pdf

Discrete mathematics is the basis of much of computer science, from algorithms and automata theory to combinatorics and graph theory. 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.

Discrete Mathematics for Computer Science

Gary Haggard,John Schlipf,Sue Whitesides
Discrete Mathematics for Computer Science Book PDF

Author : Gary Haggard,John Schlipf,Sue Whitesides
Publisher : Cengage Learning
Page : 0 pages
File Size : 54,8 Mb
Release : 2006
Category : Computers
ISBN : 053449501X

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Discrete Mathematics for Computer Science by Gary Haggard,John Schlipf,Sue Whitesides Pdf

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 in the Schools

Joseph G. Rosenstein
Discrete Mathematics in the Schools Book PDF

Author : Joseph G. Rosenstein
Publisher : American Mathematical Soc.
Page : 489 pages
File Size : 55,8 Mb
Release : 1997
Category : Mathematics
ISBN : 9780821811375

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Discrete Mathematics in the Schools by Joseph G. Rosenstein Pdf

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.

Introductory Discrete Mathematics

V. K . Balakrishnan
Introductory Discrete Mathematics Book PDF

Author : V. K . Balakrishnan
Publisher : Courier Corporation
Page : 260 pages
File Size : 43,8 Mb
Release : 2012-04-30
Category : Mathematics
ISBN : 9780486140384

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Introductory Discrete Mathematics by V. K . Balakrishnan Pdf

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.

Discrete Mathematics

Norman Biggs
Discrete Mathematics Book PDF

Author : Norman Biggs
Publisher : Oxford University Press
Page : 444 pages
File Size : 41,8 Mb
Release : 2002-12-19
Category : Computers
ISBN : 0198507178

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Discrete Mathematics by Norman Biggs Pdf

Discrete mathematics is a compulsory subject for undergraduate computer scientists. This new edition includes new chapters on statements and proof, logical framework, natural numbers and the integers and updated exercises from the previous edition.

Discrete Mathematics

Rowan Garnier,John Taylor
Discrete Mathematics Book PDF

Author : Rowan Garnier,John Taylor
Publisher : CRC Press
Page : 699 pages
File Size : 42,7 Mb
Release : 2020-10-29
Category : Science
ISBN : 9781000157307

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Discrete Mathematics by Rowan Garnier,John Taylor Pdf

In a comprehensive yet easy-to-follow manner, Discrete Mathematics for New Technology follows the progression from the basic mathematical concepts covered by the GCSE in the UK and by high-school algebra in the USA to the more sophisticated mathematical concepts examined in the latter stages of the book. The book punctuates the rigorous treatment of theory with frequent uses of pertinent examples and exercises, enabling readers to achieve a feel for the subject at hand. The exercise hints and solutions are provided at the end of the book. Topics covered include logic and the nature of mathematical proof, set theory, relations and functions, matrices and systems of linear equations, algebraic structures, Boolean algebras, and a thorough treatise on graph theory. Although aimed primarily at computer science students, the structured development of the mathematics enables this text to be used by undergraduate mathematicians, scientists, and others who require an understanding of discrete mathematics.

Logic and Discrete Mathematics

Willem Conradie,Valentin Goranko,Claudette Robinson
Logic and Discrete Mathematics Book PDF

Author : Willem Conradie,Valentin Goranko,Claudette Robinson
Publisher : John Wiley & Sons
Page : 200 pages
File Size : 53,9 Mb
Release : 2015-05-08
Category : Mathematics
ISBN : 9781119000105

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Logic and Discrete Mathematics by Willem Conradie,Valentin Goranko,Claudette Robinson Pdf

Solutions manual to accompany Logic and Discrete Mathematics: A Concise Introduction This book features a unique combination of comprehensive coverage of logic with a solid exposition of the most important fields of discrete mathematics, presenting material that has been tested and refined by the authors in university courses taught over more than a decade. Written in a clear and reader-friendly style, each section ends with an extensive set of exercises, most of them provided with complete solutions which are available in this accompanying solutions manual.

A Beginner’s Guide to Discrete Mathematics

W.D. Wallis
A Beginner s Guide to Discrete Mathematics Book PDF

Author : W.D. Wallis
Publisher : Springer Science & Business Media
Page : 376 pages
File Size : 52,5 Mb
Release : 2013-03-14
Category : Mathematics
ISBN : 9781475738261

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A Beginner’s Guide to Discrete Mathematics by W.D. Wallis Pdf

This introduction to discrete mathematics is aimed at freshmen and sophomores in mathematics and computer science. It begins with a survey of number systems and elementary set theory before moving on to treat data structures, counting, probability, relations and functions, graph theory, matrices, number theory and cryptography. The end of each section contains problem sets with selected solutions, and good examples occur throughout the text.

Discrete Mathematics - Proof Techniques And Mathematical Structures

Robert Clark Penner
Discrete Mathematics Proof Techniques And Mathematical Structures Book PDF

Author : Robert Clark Penner
Publisher : World Scientific Publishing Company
Page : 487 pages
File Size : 52,8 Mb
Release : 1999-10-19
Category : Mathematics
ISBN : 9789813105614

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Discrete Mathematics - Proof Techniques And Mathematical Structures by Robert Clark Penner Pdf

This book offers an introduction to mathematical proofs and to the fundamentals of modern mathematics. No real prerequisites are needed other than a suitable level of mathematical maturity. The text is divided into two parts, the first of which constitutes the core of a one-semester course covering proofs, predicate calculus, set theory, elementary number theory, relations, and functions, and the second of which applies this material to a more advanced study of selected topics in pure mathematics, applied mathematics, and computer science, specifically cardinality, combinatorics, finite-state automata, and graphs. In both parts, deeper and more interesting material is treated in optional sections, and the text has been kept flexible by allowing many different possible courses or emphases based upon different paths through the volume.

Applied Discrete Structures

Ken Levasseur,Al Doerr
Applied Discrete Structures Book PDF

Author : Ken Levasseur,Al Doerr
Publisher : Lulu.com
Page : 574 pages
File Size : 42,5 Mb
Release : 2012-02-25
Category : Applied mathematics
ISBN : 9781105559297

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Applied Discrete Structures by Ken Levasseur,Al Doerr Pdf

Applied Discrete Structures, is a two semester undergraduate text in discrete mathematics, focusing on the structural properties of mathematical objects. These include matrices, functions, graphs, trees, lattices and algebraic structures. The algebraic structures that are discussed are monoids, groups, rings, fields and vector spaces. Website: http: //discretemath.org Applied Discrete Structures has been approved by the American Institute of Mathematics as part of their Open Textbook Initiative. For more information on open textbooks, visit http: //www.aimath.org/textbooks/. This version was created using Mathbook XML (https: //mathbook.pugetsound.edu/) Al Doerr is Emeritus Professor of Mathematical Sciences at UMass Lowell. His interests include abstract algebra and discrete mathematics. Ken Levasseur is a Professor of Mathematical Sciences at UMass Lowell. His interests include discrete mathematics and abstract algebra, and their implementation using computer algebra systems.

Discrete Mathematics and Graph Theory

K. Erciyes
Discrete Mathematics and Graph Theory Book PDF

Author : K. Erciyes
Publisher : Springer Nature
Page : 345 pages
File Size : 46,6 Mb
Release : 2021-01-28
Category : Computers
ISBN : 9783030611156

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Discrete Mathematics and Graph Theory by K. Erciyes Pdf

This textbook can serve as a comprehensive manual of discrete mathematics and graph theory for non-Computer Science majors; as a reference and study aid for professionals and researchers who have not taken any discrete math course before. It can also be used as a reference book for a course on Discrete Mathematics in Computer Science or Mathematics curricula. The study of discrete mathematics is one of the first courses on curricula in various disciplines such as Computer Science, Mathematics and Engineering education practices. Graphs are key data structures used to represent networks, chemical structures, games etc. and are increasingly used more in various applications such as bioinformatics and the Internet. Graph theory has gone through an unprecedented growth in the last few decades both in terms of theory and implementations; hence it deserves a thorough treatment which is not adequately found in any other contemporary books on discrete mathematics, whereas about 40% of this textbook is devoted to graph theory. The text follows an algorithmic approach for discrete mathematics and graph problems where applicable, to reinforce learning and to show how to implement the concepts in real-world applications.

Discrete Mathematics

Jean Gallier
Discrete Mathematics Book PDF

Author : Jean Gallier
Publisher : Springer Science & Business Media
Page : 473 pages
File Size : 54,9 Mb
Release : 2011-02-01
Category : Mathematics
ISBN : 9781441980472

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Discrete Mathematics by Jean Gallier Pdf

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.

Practical Discrete Mathematics

Ryan T. White,Archana Tikayat Ray
Practical Discrete Mathematics Book PDF

Author : Ryan T. White,Archana Tikayat Ray
Publisher : Packt Publishing Ltd
Page : 330 pages
File Size : 55,6 Mb
Release : 2021-02-22
Category : Mathematics
ISBN : 9781838983505

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Practical Discrete Mathematics by Ryan T. White,Archana Tikayat Ray Pdf

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.

Discrete Mathematics with Applications

Thomas Koshy
Discrete Mathematics with Applications Book PDF

Author : Thomas Koshy
Publisher : Elsevier
Page : 1042 pages
File Size : 49,8 Mb
Release : 2004-01-19
Category : Mathematics
ISBN : 9780080477343

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Discrete Mathematics with Applications by Thomas Koshy Pdf

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)