Cover image for Discrete mathematics for computer science
Title:
Discrete mathematics for computer science
Personal Author:
Publication Information:
Belmont, CA : Thomson Brooks/Cole, 2006
Physical Description:
1 CD-ROM ; 12 cm.
ISBN:
9780534406714
General Note:
Accompanies text of the same title : QA39.2 H33 2006

Student solutions manual for discrete mathematics for computer science

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Summary

Summary

Packaged free with the text, this CD-ROM contains worked solutions to the odd-numbered exercises in the text.


Table of Contents

1 Sets
Basic Definitions
Exercises
Operations on Sets
Exercises
Mathematical Introduction
Exercises
Strong Form of Mathematical Introduction
Exercises
The Principle of Inclusion-Exclusion
Exercises
Russell's Paradox
2 Formal Logic
Introduction to Propositional Logic
Exercises
Truth and Logical Truth
Exercises
Normal Forms
Exercises
Formal Proofs in Propositional Logic
Exercises
First Order Logic
Exercises
3 Relations
Binary Relations
N-ary Relations
Operations on Binary Relations
Exercises
Special Types of Relations
Exercises
Equivalence Relations
Exercises
Ordering Relations
Exercises
Relational Databases-An Application
Exercises
4 Functions
Basic Definitions
Exercises
Operations on Functions
Sequences and Subsequences
Exercises
The Pigeon-Hole Principle
Applications
Exercises
Countable and Uncountable Sets
Exercises
Languages and Regular Sets
Exercises
5 Analysis of Algorithms
Comparing Growth Rates of Functions
Exercises
Complexity of Programs
Exercises
Uncomputability
Exercises
6 Graph Theory
Introduction to Graph Theory
The Handshaking Problem
Paths and Cycles
Graph Isomorphism
Representation of Graphs
Exercises
Connected Graphs
The Koingsberg Bridge Problem
Exercises
Trees
Spanning Trees
Rooted Trees
Exercises
Directed Graphs
Scheduling a Meeting Facility
Finding a Cycle in a Directed Graph
Priority in Scheduling
Connectivity in Directed Graphs
Exercises
7 Counting and Combinatorics
Traveling Salesperson Problem
Counting Principles
Set Decomposition Principles
Exercises
Permutations and Combinations
Constructing the k-th Permutation
Exercises
Repetitions and Identities
Combinatorial Identities
Pascal's Triangle
Multinomials
TSP Revisited
Exercises
8 Discrete Probability
Ideas of Chance in Computer Science
Exercises
Cross Product Sample Spaces
Exercises
Independent Events and Conditional Probability
Exercises
Discrete Random Variables
Exercises
9 Recurrence Relations
The Tower of Hanoi Problem
First Order Recurrence Relations
Exercises
Second Order Recurrence Relations
Exercises
Binary Search
Merge Sort
Multiplication of n-bit Numbers
Divide and Conquer Recurrences
Exercises
10 Geometric Series and Partial Fractions
Exercises