Book description
Essentials of Discrete Mathematics, Second Edition is the ideal text for a oneterm discrete mathematics course to serve computer science majors as well as students from a wide range of other disciplines. It introduces students to the mathematical way of thinking, and also to many important modern applications. 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. Students 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 indepth case studies from a variety of fields, including biology, sociology, linguistics, economics, and music. Clear and concise, Essentials of Discrete Mathematics presents a unified and complete picture of discrete mathematics that instructors can cover in a single semester.
Table of contents
 Cover Page
 Title Page
 Copyright Page
 Table of Contents
 Preface
 How to Use This Book
 Chapter 1 Logical Thinking
 Chapter 2 Relational Thinking
 Chapter 3 Recursive Thinking
 Chapter 4 Quantitative Thinking
 Chapter 5 Analytical Thinking
 Chapter 6 Thinking Through Applications

Hints, Answers, and Solutions to Selected Exercises
 1.1 Formal Logic
 1.2 Propositional Logic
 1.3 Predicate Logic
 1.4 Logic in Mathematics
 1.5 Methods of Proof
 2.1 Graphs
 2.2 Sets
 2.3 Functions
 2.4 Relations and Equivalences
 2.5 Partial Orderings
 2.6 Graph Theory
 3.1 Recurrence Relations
 3.2 ClosedForm Solutions and Induction
 3.3 Recursive Definitions
 3.4 Proof by Induction
 3.5 Recursive Data Structures
 4.1 Basic Counting Techniques
 4.2 Selections and Arrangements
 4.3 Counting with Functions
 4.4 Discrete Probability
 4.5 Counting Operations in Algorithms
 4.6 Estimation
 5.1 Algorithms
 5.2 Three Common Types of Algorithms
 5.3 Algorithm Complexity
 5.4 Bounds on Complexity
 5.5 Program Verification
 5.6 Loop Invariants
 Selected References
 Index
 Index of Symbols
Product information
 Title: Essentials of Discrete Mathematics, 2nd Edition
 Author(s):
 Release date: December 2010
 Publisher(s): Jones & Bartlett Learning
 ISBN: 9781449604448
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