This highly regarded work fills the need for a treatment of elementary discrete mathematics that provides a core of mathematical terminology and concepts as well as emphasizes computer applications. Includes numerous elementary applications to computing and examples with solutions.
 Title of related interest by Waveland Press: Buckley-Lewinter, Introductory Graph Theory with Applications (ISBN 9781478611752).
 1. Number Systems
 The Binary System / The Octal and Haxadecimal Systems / The Integers / The Real Numbers / Case Study: Computer Arithmetic: Binary Numbers / Case Study: Computer Arithmetic: Floating-Point Numbers / Case Study: Computer Arithmetic: Floating-Point Arithmetic / Case Study: Memory Addressing and Data Encoding
 2. Sets and Logic
 Sets and Elements / Subsets / Venn Diagrams / Intersections, Unions, and Complements / Conjunction, Disjunction, and Negation / Conditional and Biconditional Statements / Tautologies and Contradictions / Logical Implication and Decision Tables / Case Study: Searching and Sorting
 3. Combinatorics
 Mathematical Induction / Permutations / Combinations / Binomial Coefficients / Distributions / Case Study: Correctness of Algorithms / Case Study: Introduction to Algorithm Analysis
 4. Probability
 Finite Probability / Conditional Probability and Independence / Compound Experiments and Repeated Trials / Random Variables and Expected Value / Case Study: Random Numbers and Simulation
 5. Relations and Functions
 Relations / Functions / Graphs of Functions / Three Classes of Functions / Operations on Functions: Inverses / Case Study: Computer Functions / Case Study: Algorithm Analysis: Orders of Magnitude / Case Study: Cryptography
 6. Vectors and Matrices
 Matrices and Arrays / Matrix Multiplication / The Inverse of a Matrix and Determinants / Case Study: Stacks, Queues, and Deques / Case Study: Implementation and Comparison of Sorting Algorithms
 7. Boolean Algebra
 Boolean Algebras and Their Properties / Boolean Functions / Karnaugh Maps and Prime Implicants / Minimizing Boolean Functions and Expressions / Case Study: Switching Theory
 8. Graph Theory
 Graphs and Digraphs / Basic Definitions / Classes of Graphs / Matrices Associated with Graphs / Connectivity / Traversing Graphs / Case Study: Heap Sort / Case Study: The Critical Path Method

A First Course in Discrete Mathematics

Science & Math

John C. Molluzzo

Fred Buckley

Biological Sciences

Waveland Pr Inc.

Graph theory's practical applications extend not only across multiple areas of mathematics and computer science but also throughout the social sciences, business, engineering, and other subjects. Buckley and Lewinter have written their text with students of all these disciplines in mind. Pedagogically rich, the authors provide hundreds of worked-out examples, figures, and exercises of varying degrees of difficulty. Concepts are presented in a readable and accessible manner, and applications are stressed throughout so the reader never loses sight of the powerful tools graph theory provides to solve real-world problems. Such diverse areas as job assignment, delivery truck routing, location of emergency or service facilities, network reliability, zoo design, exam scheduling, error-correcting codes, facility layout, and the critical path method are covered.
 Table of Contents:
 1. Introductory Concepts 2. Introduction to Graphs and Their Uses 3. Trees and Bipartite Graphs 4. Distance and Connectivity 5. Eulerian and Hamiltonian Graphs 6. Graph Coloring 7. Matrices 8. Graph Algorithms 9. Planar Graphs 10. Digraphs and Networks 11. Special Topics Answers/Solutions to Selected Exercises
 Title of related interest also from Waveland Press: Molluzzo-Buckley, A First Course in Discrete Mathematics (ISBN 9780881339406).

Introductory Graph Theory with Applications

Marty Lewinter

Mathematics

Waveland Press. Inc.

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