Discrete Structures with Contemporary Applications

ISBN-10: 1439817685
ISBN-13: 9781439817681
Edition: 2011
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Book details

Copyright year: 2011
Publisher: Taylor & Francis Group
Publication date: 1/19/2011
Binding: Hardcover
Pages: 1002
Size: 7.00" wide x 10.00" long x 1.75" tall
Weight: 4.048

Central Institute for Labor Protection, National Research Institute, Warsaw, PolandAlexander Stanoyevitchis with the Department of Mathematics at California State University, Dominguez Hills in Carson, California.

Logic and Sets
Logical Operators
Logical Quantifiers
Sets
Relations and Functions, Boolean Algebra, and Circuit Design
Relations and Functions
Equivalence Relations and Partial Orderings
Boolean Algebra and Circuit Design
The Integers, Induction, and Recursion
Mathematical Induction
Recursion
Some Topics in Elementary Number Theory
Number Systems
Representations of Integers in Different Bases
Modular Arithmetic and Congruences
Matrices
Floating Point Arithmetic
Public Key Cryptography
Counting Techniques, Combinatorics, and Generating Functions
Fundamental Principles of Counting
Permutations, Combinations, and the Binomial Theorem
Generating Functions
Discrete Probability and Simulation
Introduction to Discrete Probability
Random Numbers, Random Variables, and Basic Simulations
Complexity of Algorithms
Some Algorithms for Searching and Sorting
Growth Rates of Functions and the Complexity of Algorithms
Graphs, Trees, and Associated Algorithms
Graph Concepts and Properties
Paths Connectedness, and Distances in Graphs
Trees
Graph Traversal and Optimization Problems
Graph Traversal Problems
Tree Growing and Graph Optimization Algorithms
Network Flows
Randomized Search and Optimization Algorithms
Randomized Search and Optimization: An Overview
Genetic Algorithms
Pseudo Code Dictionary
Solutions to all Exercises for the Reader
Answers/Brief Solutions to Odd Numbered Exercises
References
Index

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