Table of Contents

1. Basic Concepts.
Algorithms. Mathematical Preliminaries. Mathematical Induction. Numbers, Powers, and Logarithms. Sums and Products. Integer Functions and Elementary Number Theory. Permutations and Factorials. Binomial Coefficients. Harmonic Numbers. Fibonacci Numbers. Generating Functions. Analysis of an Algorithm. Asymptotic Representations. MIX. Description of MIX. The MIX Assembly Language. Applications to Permutations. Some Fundamental Programming Techniques. Subroutines. Coroutines. Interpretive Routines. Input and Output. History and Bibliography.

2. Information Structures.
Introduction. Linear Lists. Stacks, Queues, and Deques. Sequential Allocation. Linked Allocation. Circular Lists. Doubly Linked Lists. Arrays and Orthogonal Lists. Trees. Traversing Binary Trees. Binary Tree Representation of Trees. Other Representations of Trees. Basic Mathematical Properties of Trees. Lists and Garbage Collection. Multilinked Structures. Dynamic Storage Allocation. History and Bibliography.

Answers to Exercises.


Appendix A. Tables of Numerical Quantities.
1. Fundamental Constants (decimal). 2. Fundamental Constants (octal). 3. Harmonic Numbers, Bernoulli Numbers, Fibonacci Numbers.

Appendix B. Index to Notations.


Index and Glossary. 0201896834T02272003

About the Author

Donald E. Knuth is known throughout the world for his pioneering work on algorithms and programming techniques, for his invention of the Tex and Metafont systems for computer typesetting, and for his prolific and influential writing. Professor Emeritus of The Art of Computer Programming at Stanford University, he currently devotes full time to the completion of these fascicles and the seven volumes to which they belong.