Fundamentals Of Discrete Structures

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Fundamentals of Discrete Math for Computer Science

Tom Jenkyns,Ben Stephenson
Fundamentals of Discrete Math for Computer Science Book PDF

Author : Tom Jenkyns,Ben Stephenson
Publisher : Springer Science & Business Media
Page : 424 pages
File Size : 46,6 Mb
Release : 2012-10-16
Category : Computers
ISBN : 9781447140696

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Fundamentals of Discrete Math for Computer Science by Tom Jenkyns,Ben Stephenson Pdf

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.

Fundamentals of Discrete Structures

Damian M. Lyons,Gary M. Weiss,Christina Papadakis-Kanaris,Arthur G. Werschulz,Associate Professor of Mathematics and Computer Science Fordham University Visiting Scholar Arthur G Werschulz
Fundamentals of Discrete Structures Book PDF

Author : Damian M. Lyons,Gary M. Weiss,Christina Papadakis-Kanaris,Arthur G. Werschulz,Associate Professor of Mathematics and Computer Science Fordham University Visiting Scholar Arthur G Werschulz
Publisher : Unknown
Page : 0 pages
File Size : 44,6 Mb
Release : 2012-08-21
Category : Computer science
ISBN : 1256389218

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Fundamentals of Discrete Structures by Damian M. Lyons,Gary M. Weiss,Christina Papadakis-Kanaris,Arthur G. Werschulz,Associate Professor of Mathematics and Computer Science Fordham University Visiting Scholar Arthur G Werschulz Pdf

Normal 0 false false false EN-US X-NONE X-NONE Selecting a mathematics textbook that meets the needs of a diverse student body can be a challenge. Some have too much information for a beginner; some have too little. The authors of Fundamentals of Discrete Structures, frustrated by their search for the perfect text, decided to write their own. The result provides an excellent introduction to discrete mathematics that is both accessible to liberal arts majors satisfying their core mathematics requirements, and also challenging enough to engage math and computer science majors. To engage students who may not be comfortable with traditional mathematics texts, the book uses a light tone when introducing new concepts. While there is an emphasis on computation, it avoids mathematical formalism and formal proofs, thus making it easier for the average student to understand. Unlike other textbooks in this field, Fundamentals of Discrete Structures strikes just the right balance: it illuminates the essentials of discrete mathematics while still providing a comprehensive treatment of the subject matter.

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 : 40,6 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 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 : 45,7 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.

FUNDAMENTALS OF DISCRETE MATHEMATICAL STRUCTURES

K. R. CHOWDHARY
FUNDAMENTALS OF DISCRETE MATHEMATICAL STRUCTURES Book PDF

Author : K. R. CHOWDHARY
Publisher : PHI Learning Pvt. Ltd.
Page : 360 pages
File Size : 48,8 Mb
Release : 2015-01-02
Category : Mathematics
ISBN : 9788120350748

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FUNDAMENTALS OF DISCRETE MATHEMATICAL STRUCTURES by K. R. CHOWDHARY Pdf

This updated text, now in its Third Edition, continues to provide the basic concepts of discrete mathematics and its applications at an appropriate level of rigour. The text teaches mathematical logic, discusses how to work with discrete structures, analyzes combinatorial approach to problem-solving and develops an ability to create and understand mathematical models and algorithms essentials for writing computer programs. Every concept introduced in the text is first explained from the point of view of mathematics, followed by its relation to Computer Science. In addition, it offers excellent coverage of graph theory, mathematical reasoning, foundational material on set theory, relations and their computer representation, supported by a number of worked-out examples and exercises to reinforce the students’ skill. Primarily intended for undergraduate students of Computer Science and Engineering, and Information Technology, this text will also be useful for undergraduate and postgraduate students of Computer Applications. New to this Edition Incorporates many new sections and subsections such as recurrence relations with constant coefficients, linear recurrence relations with and without constant coefficients, rules for counting and shorting, Peano axioms, graph connecting, graph scanning algorithm, lexicographic shorting, chains, antichains and order-isomorphism, complemented lattices, isomorphic order sets, cyclic groups, automorphism groups, Abelian groups, group homomorphism, subgroups, permutation groups, cosets, and quotient subgroups. Includes many new worked-out examples, definitions, theorems, exercises, and GATE level MCQs with answers.

Essentials of Discrete Mathematics

David J. Hunter
Essentials of Discrete Mathematics Book PDF

Author : David J. Hunter
Publisher : Jones & Bartlett Publishers
Page : 508 pages
File Size : 55,7 Mb
Release : 2015-08-21
Category : Mathematics
ISBN : 9781284056259

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Essentials of Discrete Mathematics by David J. Hunter Pdf

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.

Discrete Mathematics

Oscar Levin
Discrete Mathematics Book PDF

Author : Oscar Levin
Publisher : Createspace Independent Publishing Platform
Page : 238 pages
File Size : 40,5 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.

Introduction to Discrete Mathematics via Logic and Proof

Calvin Jongsma
Introduction to Discrete Mathematics via Logic and Proof Book PDF

Author : Calvin Jongsma
Publisher : Springer Nature
Page : 482 pages
File Size : 48,7 Mb
Release : 2019-11-08
Category : Mathematics
ISBN : 9783030253585

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Introduction to Discrete Mathematics via Logic and Proof by Calvin Jongsma Pdf

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.

Introductory Discrete Mathematics

V. K . Balakrishnan
Introductory Discrete Mathematics Book PDF

Author : V. K . Balakrishnan
Publisher : Courier Corporation
Page : 260 pages
File Size : 42,8 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 Mathematical Structures for Computer Science

Bernard Kolman,Robert C. Busby
Discrete Mathematical Structures for Computer Science Book PDF

Author : Bernard Kolman,Robert C. Busby
Publisher : Prentice Hall
Page : 488 pages
File Size : 44,9 Mb
Release : 1987
Category : Computer science
ISBN : UCSC:32106007549386

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Discrete Mathematical Structures for Computer Science by Bernard Kolman,Robert C. Busby Pdf

This text has been designed as a complete introduction to discrete mathematics, primarily for computer science majors in either a one or two semester course. The topics addressed are of genuine use in computer science, and are presented in a logically coherent fashion. The material has been organized and interrelated to minimize the mass of definitions and the abstraction of some of the theory. For example, relations and directed graphs are treated as two aspects of the same mathematical idea. Whenever possible each new idea uses previously encountered material, and then developed in such a way that it simplifies the more complex ideas that follow.

Foundations of Discrete Mathematics with Algorithms and Programming

R. Balakrishnan,Sriraman Sridharan
Foundations of Discrete Mathematics with Algorithms and Programming Book PDF

Author : R. Balakrishnan,Sriraman Sridharan
Publisher : CRC Press
Page : 361 pages
File Size : 42,6 Mb
Release : 2018-10-26
Category : Mathematics
ISBN : 9781351019125

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Foundations of Discrete Mathematics with Algorithms and Programming by R. Balakrishnan,Sriraman Sridharan Pdf

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.

Discrete Structures, Logic, and Computability

James L. Hein
Discrete Structures Logic and Computability Book PDF

Author : James L. Hein
Publisher : Jones & Bartlett Learning
Page : 976 pages
File Size : 43,5 Mb
Release : 2001
Category : Computers
ISBN : 0763718432

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Discrete Structures, Logic, and Computability by James L. Hein Pdf

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.

Fundamentals Of Discrete Mathematics

Dr. A. Mohamed Ismayil,Mr. N. Azhagendran
Fundamentals Of Discrete Mathematics Book PDF

Author : Dr. A. Mohamed Ismayil,Mr. N. Azhagendran
Publisher : Academic Guru Publishing House
Page : 241 pages
File Size : 46,6 Mb
Release : 2024-02-01
Category : Study Aids
ISBN : 9788119843985

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Fundamentals Of Discrete Mathematics by Dr. A. Mohamed Ismayil,Mr. N. Azhagendran Pdf

An authoritative manual on the fundamental principles of discrete mathematics, which is a cornerstone of computer science and information technology, "Fundamentals of Discrete Mathematics" provides readers with a thorough and approachable introduction to the subject. Crafted with lucidity and pedagogical expertise, this book is specifically designed for individuals who are professionals, students, and educators are in search of a comprehensive comprehension of fundamental principles within the discipline. The book commences with a fundamental examination of set theory and logic, establishing the necessary conditions for the subsequent chapters which undertake discrete structures, graph theory, and combinatorics. Practical exercises and real-world illustrations are included to reinforce theoretical knowledge and clearly present each subject. By effectively integrating theoretical rigor and practical applications, this text proves to be an indispensable asset for individuals seeking to cultivate robust problem-solving capabilities. To cater to a wide range of readers, "Fundamentals of Discrete Mathematics" follows a coherent structure that integrates previously covered material to promote a smooth and effective educational journey. This book offers a dependable guide through the intricacies of discrete mathematics, catering to both individuals who are just beginning their exploration of the subject and those who wish to enhance their comprehension. By embracing the challenges that are presented within the pages of this book, one can effectively master the fundamental principles of discrete mathematics.

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 : 49,7 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

K. D. Joshi
Applied Discrete Structures Book PDF

Author : K. D. Joshi
Publisher : New Age International
Page : 966 pages
File Size : 52,5 Mb
Release : 1997
Category : Computer science
ISBN : 8122408265

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Applied Discrete Structures by K. D. Joshi Pdf

Although This Book Is Intended As A Sequel To Foundations Of Discrete Mathematics By The Same Author, It Can Be Read Independently Of The Latter, As The Relevant Background Needed Has Been Reviewed In Chapter 1. The Subsequent Chapters Deal With Graph Theory (With Applications), Analysis Of Algorithms (With A Detailed Study Of A Few Sorting Algorithms And A Discussion Of Tractability), Linear Programming (With Applications, Variations, Karmarkars Polynomial Time Algorithm, Integer And Quadratic Programming), Applications Of Algebra (To Polyas Theory Of Counting, Galois Theory, Coding Theory Of Designs). A Chapter On Matroids Familiarises The Reader With This Relatively New Branch Of Discrete Mathematics.Even Though Some Of The Topics Are Relatively Advanced, An Attempt Has Been Made To Keep The Style Elementary, So That A Sincere Student Can Read The Book On His Own. A Large Number Of Comments, Exercises, And References Is Included To Broaden The Readers Scope Of Vision. A Detailed Index Is Provided For Easy Reference.