Discrete Mathematics and Its Applications

ISBN-10: 0073107794

ISBN-13: 9780073107790

Edition: 6th 2007 (Student Manual, Study Guide, etc.)

Authors: Kenneth H. Rosen, Jerrold W. Grossman

List price: $87.00
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Book details

List price: $87.00
Edition: 6th
Copyright year: 2007
Publisher: McGraw-Hill Higher Education
Publication date: 7/27/2006
Binding: Paperback
Pages: 528
Size: 8.50" wide x 10.75" long x 0.75" tall
Weight: 2.640
Language: English

Discrete Mathematics and Its Applications, Fifth Edition
The Foundations: Logic and Proof, Sets, and Functions
Propositional Equivalences
Predicates and Quantifiers
Nested Quantifiers
Methods of Proof
Set Operations
The Fundamentals: Algorithms, the Integers, and Matrices
The Growth of Functions
Complexity of Algorithms
The Integers and Division
Applications of Number Theory
Mathematical Reasoning, Induction, and Recursion
Proof Strategy
Sequences and Summations
Mathematical Induction
Recursive Definitions and Structural Induction
Recursive Algorithms
Program Correctness
The Basics of Counting
The Pigeonhole Principle
Permutations and Combinations
Binomial Coefficients
Generalized Permutations and Combinations
Generating Permutations and Combinations
Discrete Probability
An Introduction to Discrete Probability
Probability Theory
Expected Value and Variance
Advanced Counting Techniques
Recurrence Relations
Solving Recurrence Relations
Divide-and-Conquer Algorithms and Recurrence Relations
Generating Functions
Applications of Inclusion-Exclusion
Relations and Their Properties
n-ary Relations and Their Applications
Representing Relations
Closures of Relations
Equivalence Relations
Partial Orderings
Introduction to Graphs
Graph Terminology
Representing Graphs and Graph Isomorphism
Euler and Hamilton Paths
Shortest-Path Problems
Planar Graphs
Graph Coloring
Introduction to Trees
Applications of Trees
Tree Traversal
Spanning Trees
Minimum Spanning Trees
Boolean Algebra
Boolean Functions
Representing Boolean Functions
Logic Gates
Minimization of Circuits
Modeling Computation
Languages and Grammars
Finite-State Machines with Output
Finite-State Machines with No Output
Language Recognition
Turing Machines
Exponential and Logarithmic Functions
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