Discrete Mathematics

Discrete Mathematics PDF
Author: James L. Hein
Publisher: Jones & Bartlett Learning
ISBN: 9780763722104
Size: 71.67 MB
Format: PDF, Mobi
Category : Computers
Languages : en
Pages : 731
View: 6858

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Winner at the 46th Annual New England Book Show (2003) in the "College Covers & Jackets" category This introduction to discrete mathematics prepares future computer scientists, engineers, and mathematicians for success by providing extensive and concentrated coverage of logic, functions, algorithmic analysis, and algebraic structures. Discrete Mathematics, Second Edition illustrates the relationships between key concepts through its thematic organization and provides a seamless transition between subjects. Distinct for the depth with which it covers logic, this text emphasizes problem solving and the application of theory as it carefully guides the reader from basic to more complex topics. Discrete Mathematics is an ideal resource for discovering the fundamentals of discrete math. Discrete Mathematics, Second Edition is designed for an introductory course in discrete mathematics for the prospective computer scientist, applied mathematician, or engineer who wants to learn how the ideas apply to computer sciences.The choice of topics-and the breadth of coverage-reflects the desire to provide students with the foundations needed to successfully complete courses at the upper division level in undergraduate computer science courses. This book differs in several ways from current books about discrete mathematics.It presents an elementary and unified introduction to a collection of topics that has not been available in a single source.A major feature of the book is the unification of the material so that it does not fragment into a collection of seemingly unrelated ideas.

Discrete Mathematics

Discrete Mathematics PDF
Author: Jean Gallier
Publisher: Springer Science & Business Media
ISBN: 9781441980472
Size: 70.69 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 466
View: 3536

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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.

Discrete Mathematics

Discrete Mathematics PDF
Author: L. Lovász
Publisher: Springer Science & Business Media
ISBN: 9780387955858
Size: 43.48 MB
Format: PDF, Docs
Category : Mathematics
Languages : en
Pages : 284
View: 928

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Aimed at undergraduate mathematics and computer science students, this book is an excellent introduction to a lot of problems of discrete mathematics. It discusses a number of selected results and methods, mostly from areas of combinatorics and graph theory, and it uses proofs and problem solving to help students understand the solutions to problems. Numerous examples, figures, and exercises are spread throughout the book.

Discrete Mathematics

Discrete Mathematics PDF
Author: Richard Johnsonbaugh
Publisher: Prentice Hall
ISBN: 0131593188
Size: 14.95 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 766
View: 2691

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Focused on helping readers understand and construct proofs – and, generally, expanding their mathematical maturity – this best-seller is an accessible introduction to discrete mathematics. Takes an algorithmic approach that emphasizes problem-solving techniques. Expands discussion on how to construct proofs and treatment of problem solving. Increases number of examples and exercises throughout.

Discrete Mathematics

Discrete Mathematics PDF
Author:
Publisher: Krishna Prakashan Media
ISBN: 9788187224846
Size: 80.21 MB
Format: PDF, Mobi
Category :
Languages : en
Pages :
View: 173

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Introductory Discrete Mathematics

Introductory Discrete Mathematics PDF
Author: V. K. Balakrishnan
Publisher: Courier Corporation
ISBN: 0486691152
Size: 19.86 MB
Format: PDF, ePub
Category : Mathematics
Languages : en
Pages : 236
View: 4902

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This concise, undergraduate-level text focuses on combinatorics, graph theory with applications to some standard network optimization problems, and algorithms. Geared toward mathematics and computer science majors, it emphasizes applications, offering more than 200 exercises to help students test their grasp of the material and providing answers to selected exercises. 1991 edition.

Discrete Mathematics

Discrete Mathematics PDF
Author: Rowan Garnier
Publisher: CRC Press
ISBN: 1439812802
Size: 78.47 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 843
View: 2478

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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 progression from the basic mathematical ideas to the more sophisticated concepts examined later in the book. This edition preserves the philosophy of its predecessors while updating and revising some of the content. New to the Third Edition In the expanded first chapter, the text includes a new section on the formal proof of the validity of arguments in propositional logic before moving on to predicate logic. This edition also contains a new chapter on elementary number theory and congruences. This chapter explores groups that arise in modular arithmetic and RSA encryption, a widely used public key encryption scheme that enables practical and secure means of encrypting data. This third edition also offers a detailed solutions manual for qualifying instructors. Exploring the relationship between mathematics and computer science, this text continues to provide a secure grounding in the theory of discrete mathematics and to augment the theoretical foundation with salient applications. It is designed to help readers develop the rigorous logical thinking required to adapt to the demands of the ever-evolving discipline of computer science.

Discrete Mathematics

Discrete Mathematics PDF
Author: Krishna R. Kumar
Publisher: Firewall Media
ISBN: 9788170086444
Size: 17.45 MB
Format: PDF
Category :
Languages : en
Pages : 180
View: 6832

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Discrete Mathematics

Discrete Mathematics PDF
Author: Babu Ram
Publisher: Pearson Education India
ISBN: 9788131733103
Size: 23.87 MB
Format: PDF, ePub, Mobi
Category : Computer science
Languages : en
Pages : 584
View: 6672

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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

Discrete Mathematics PDF
Author: Iyengar, N.Ch. S.N./Chandrasekaran V.M./Venkalesh K.A. & Arunachalam P.S.
Publisher: Vikas Publishing House
ISBN: 9788125913627
Size: 14.33 MB
Format: PDF
Category : Computers
Languages : en
Pages : 390
View: 3551

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Student-friendly and comprehensive, this book covers topics such as Mathematical Logic, Set Theory, Algebraic Systems, Boolean Algebra and Graph Theory that are essential to the study of Computer Science in great detail.

Discrete Mathematics

Discrete Mathematics PDF
Author: B. S. Vatssa
Publisher: New Age International
ISBN: 9788173280139
Size: 57.47 MB
Format: PDF, ePub, Mobi
Category : Computer science
Languages : en
Pages : 273
View: 454

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Relations And Graphs

Relations and Graphs PDF
Author: Gunther Schmidt
Publisher: Springer Science & Business Media
ISBN: 3642779689
Size: 46.73 MB
Format: PDF, Kindle
Category : Computers
Languages : en
Pages : 301
View: 214

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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.

Discrete Mathematics With Proof

Discrete Mathematics with Proof PDF
Author: Eric Gossett
Publisher: John Wiley & Sons
ISBN: 0470457937
Size: 30.29 MB
Format: PDF, Kindle
Category : Mathematics
Languages : en
Pages : 928
View: 4412

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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

Discrete Mathematics PDF
Author: Gary Chartrand
Publisher: Waveland Press
ISBN: 1478608323
Size: 22.40 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 671
View: 7761

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Chartrand and Zhangs Discrete Mathematics presents a clearly written, student-friendly introduction to discrete mathematics. The authors draw from their background as researchers and educators to offer lucid discussions and descriptions fundamental to the subject of discrete mathematics. Unique among discrete mathematics textbooks for its treatment of proof techniques and graph theory, topics discussed also include logic, relations and functions (especially equivalence relations and bijective functions), algorithms and analysis of algorithms, introduction to number theory, combinatorics (counting, the Pascal triangle, and the binomial theorem), discrete probability, partially ordered sets, lattices and Boolean algebras, cryptography, and finite-state machines. This highly versatile text provides mathematical background used in a wide variety of disciplines, including mathematics and mathematics education, computer science, biology, chemistry, engineering, communications, and business. Some of the major features and strengths of this textbook Numerous, carefully explained examples and applications facilitate learning. More than 1,600 exercises, ranging from elementary to challenging, are included with hints/answers to all odd-numbered exercises. Descriptions of proof techniques are accessible and lively. Students benefit from the historical discussions throughout the textbook.

Discrete Mathematics

DISCRETE MATHEMATICS PDF
Author: Dr. Vinay Kumar
Publisher: BPB Publications
ISBN: 9387284956
Size: 38.32 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 479
View: 6311

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Description:This book is intended to be a textbook for the student pursuing B.E.B.Tech in Computer Science or MCAM Tech and NIELIT - B & C Level or equivalent courses. Topics included are self contained. Sequence is maintained in such a way that no prerequisite is necessary. This book contains topics ranging from set, relation, recurrence relation, generating function, posets, lattice, methods of proofs, Quine McKluskey Method, Floyd Warshall's algorithm, finite automata, bipartite graph etc. Only necessary theorems have been included, and wherever required, theirs applicability has been demonstrated using appropriate examples. Whenever required, a diagram is used to make the concept easily understood to the reader. It contains good number of solved examples and exercises for hands on practice.Table of Contents:Chapter 1 : Seti Chapter 2 : Relationi Chapter 3 : Number Theoryi Chapter 4 : Functioni Chapter 5 : Predicate Calculusi Chapter 6 : Poseti Chapter 7 : Latticei Chapter 8 : Finite Boolean Algebrai Chapter 9 : Recursive Equationsi Chapter 10 : Generating Functioni Chapter 11 : Method Of Proofsi Chapter 12 : Permutationsi Chapter 13 : Combinationsi Chapter 14 : Groupi Chapter 15 : Cyclic Groupi Chapter 16 : Permutationi Chapter 17 : Matrixi Chapter 18 : Graphi Chapter 19 : Path and Circuiti Chapter 20 : Graph Algorithmsi Chapter 21 : Formal Languagei Chapter 22 : Finite Automatai Chapter 23 : Galois Field