New to the Third Edition xvii
Preface xix
1 Introduction
1.1 What Is an Algorithm?
Exercises 1.1
1.2 Fundamentals of Algorithmic Problem Solving
Understanding the Problem
Ascertaining the Capabilities of the Computational Device
Choosing between Exact and Approximate Problem Solving
Algorithm Design Techniques
Designing an Algorithm and Data Structures
Methods of Specifying an Algorithm
Proving an Algorithm's Correctness
Analyzing an Algorithm
Coding an Algorithm
Exercises 1.2
1.3 Important Problem Types
Sorting
Searching
String Processing
Graph Problems
Combinatorial Problems
Geometric Problems
Numerical Problems
Exercises 1.3
1.4 Fundamental Data Structures
Linear Data Structures
Graphs
Trees
Sets and Dictionaries
Exerises 1.4
Summary
2 Fundamentals of the Analysis of Algorithm Efficiency
3 Brute Force and Exhaustive Search
4 Decrease-and-Conquer
5 Divide-and-Conquer
6 Transform-and-Conquer
7 Space and Time Trade-Offs
8 Dynamic Programming
9 Greedy Technique
10 Iterative Improvement
11 Limitations of Algorithm Power
12 Coping with the Limitations of Algorithm Power
Epilogue
APPENDIX A
Useful Formulas for the Analysis of Algorithms
Properties of Logarithms
Combinatorics
Important Summation Formulas
Sum Manipulation Rules
Approximation of a Sum by a Definite Integral
Floor and Ceiling Formulas
Miscellaneous
APPENDIX B
Short Tutorial on Recurrence Relations
Sequences and Recurrence Relations
Methods for Solving Recurrence Relations
Common Recurrence Types in Algorithm Analysis
References
Hints to Exercises
Index
