A Textbook Of Discrete Mathematics

Author: Kumar Swapan Sarkar
Publisher: S. Chand
ISBN: 9788121922326
Size: 65.75 MB
Format: PDF, Docs
View: 6168
Download
The Ideas of Discrete Mathematics are the fundamental to the science and technology specific to the computer age.thhis book is primarily designed to provied an introduction to some fundamental concepts in Discrete Mathematics for the students of graduate and postgraduate on computer science as well as the students of diploma and degree level in computer engineering.The students assigned with BCA and MCA Programs and IT related other professional courses may also be benefitted.

A Textbook Of Discrete Mathematics

Author: Harish Mittal
Publisher:
ISBN: 9789380026763
Size: 19.14 MB
Format: PDF, Docs
View: 5453
Download
This book explains the basic principles of Discrete Mathematics and Structures in a clear systematic manner. A contemporary approach is adopted throughout the book. The book is divided in five sections. First section discusses Set Theory, Relations and Functions, Probability and Counting Techniques; second section is about Recurrence Relations and Propositional Logic; third section is related to Lattices and Boolean algebra; fourth section includes study of Graph and Trees and the last section is about Algebraic Structures and Finite State Machines. Suitable examples, illustrations and exercises are included throughout the book to facilitate an easier understanding of the subject. The book would serve as a comprehensive text for students of Computer Science & Engineering, Computer Applications and Information Technologies.

Discrete Mathematics

Author: Oscar Levin
Publisher: Createspace Independent Publishing Platform
ISBN: 9781534970748
Size: 34.17 MB
Format: PDF, ePub, Mobi
View: 799
Download
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. The book contains over 360 exercises, including 230 with solutions and 130 more involved problems suitable for homework. There are also Investigate! activities throughout the text to support active, inquiry based learning. 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.

A Beginner S Guide To Discrete Mathematics

Author: W.D. Wallis
Publisher: Springer Science & Business Media
ISBN: 9780817682866
Size: 11.59 MB
Format: PDF, ePub
View: 124
Download
Wallis's book on discrete mathematics is a resource for an introductory course in a subject fundamental to both mathematics and computer science, a course that is expected not only to cover certain specific topics but also to introduce students to important modes of thought specific to each discipline . . . Lower-division undergraduates through graduate students. —Choice reviews (Review of the First Edition) Very appropriately entitled as a 'beginner's guide', this textbook presents itself as the first exposure to discrete mathematics and rigorous proof for the mathematics or computer science student. —Zentralblatt Math (Review of the First Edition) This second edition of A Beginner’s Guide to Discrete Mathematics presents a detailed guide to discrete mathematics and its relationship to other mathematical subjects including set theory, probability, cryptography, graph theory, and number theory. This textbook has a distinctly applied orientation and explores a variety of applications. Key Features of the second edition: * Includes a new chapter on the theory of voting as well as numerous new examples and exercises throughout the book * Introduces functions, vectors, matrices, number systems, scientific notations, and the representation of numbers in computers * Provides examples which then lead into easy practice problems throughout the text and full exercise at the end of each chapter * Full solutions for practice problems are provided at the end of the book This text is intended for undergraduates in mathematics and computer science, however, featured special topics and applications may also interest graduate students.

Discrete Mathematics

Author: László Lovász
Publisher: Springer Science & Business Media
ISBN: 0387217770
Size: 20.81 MB
Format: PDF, Kindle
View: 1949
Download
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 With Ducks

Author: sarah-marie belcastro
Publisher: CRC Press
ISBN: 1466504994
Size: 49.86 MB
Format: PDF, ePub
View: 4965
Download
Containing exercises and materials that engage students at all levels, Discrete Mathematics with Ducks presents a gentle introduction for students who find the proofs and abstractions of mathematics challenging. This classroom-tested text uses discrete mathematics as the context for introducing proofwriting. Facilitating effective and active learning, each chapter contains a mixture of discovery activities, expository text, in-class exercises, and homework problems. Elementary exercises at the end of each expository section prompt students to review the material Try This! sections encourage students to construct fundamental components of the concepts, theorems, and proofs discussed. Sets of discovery problems and illustrative examples reinforce learning. Bonus sections can be used for take-home exams, projects, or further study Instructor Notes sections offer suggestions on how to use the material in each chapter Discrete Mathematics with Ducks offers students a diverse introduction to the field and a solid foundation for further study in discrete mathematics and complies with SIGCSE guidelines. The book shows how combinatorics and graph theory are used in both computer science and mathematics.

Introductory Discrete Mathematics

Author: V. K . Balakrishnan
Publisher: Courier Corporation
ISBN: 0486140385
Size: 76.16 MB
Format: PDF, Docs
View: 1818
Download
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.

Pearls Of Discrete Mathematics

Author: Martin Erickson
Publisher: CRC Press
ISBN: 1439816174
Size: 66.64 MB
Format: PDF, ePub
View: 5447
Download
Methods Used to Solve Discrete Math Problems Interesting examples highlight the interdisciplinary nature of this area Pearls of Discrete Mathematics presents methods for solving counting problems and other types of problems that involve discrete structures. Through intriguing examples, problems, theorems, and proofs, the book illustrates the relationship of these structures to algebra, geometry, number theory, and combinatorics. Each chapter begins with a mathematical teaser to engage readers and includes a particularly surprising, stunning, elegant, or unusual result. The author covers the upward extension of Pascal’s triangle, a recurrence relation for powers of Fibonacci numbers, ways to make change for a million dollars, integer triangles, the period of Alcuin’s sequence, and Rook and Queen paths and the equivalent Nim and Wythoff’s Nim games. He also examines the probability of a perfect bridge hand, random tournaments, a Fibonacci-like sequence of composite numbers, Shannon’s theorems of information theory, higher-dimensional tic-tac-toe, animal achievement and avoidance games, and an algorithm for solving Sudoku puzzles and polycube packing problems. Exercises ranging from easy to challenging are found in each chapter while hints and solutions are provided in an appendix. With over twenty-five years of teaching experience, the author takes an organic approach that explores concrete problems, introduces theory, and adds generalizations as needed. He delivers an absorbing treatment of the basic principles of discrete mathematics.

The Essence Of Discrete Mathematics

Author: Neville Dean
Publisher:
ISBN: 9780133459432
Size: 69.68 MB
Format: PDF
View: 674
Download
Presents a gentle introduction to all the basics of discrete mathematics.Introduces sets and logic, providing clear instructions on calculating values for mathematical expressions for small finite sets. For simplicity, uses sets of numbers extensively -- but also covers non-numerical examples. Introduces relations and functions, and then discusses how they can be modeled using sets. Shows how modeling with sets and logic can be applied to practical problems. Includes a running case study, worked examples and self-test questions.Undergraduate courses in discrete mathematics.