Preface
Procedure for Reading This Set of Books
Notes on the Exercises
Chapter 1 — Basic Concepts
1.1. Algorithms
1.2. Mathematical Preliminaries
1.2.1. Mathematical Induction
1.2.2. Numbers, Powers, and Logarithms
1.2.3. Sums and Products
1.2.4. Integer Functions and Elementary Number Theory
1.2.5. Permutations and Factorials
1.2.6. Binomial Coefficients
1.2.7. Harmonic Numbers
1.2.8. Fibonacci Numbers
1.2.9. Generating Functions
1.2.10. Analysis of an Algorithm
*1.2.11. Asymptotic Representations
*1.2.11.1. The O-notation
*1.2.11.2. Euler’s summation formula
*1.2.11.3. Some asymptotic calculations
1.3. MIX
MIX
1.3.1. Description of MIX
1.3.2. The MIX Assembly Language
1.3.3. Applications to Permutations
1.4. Some Fundamental ...