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The Art of Computer Programming, Volume 1: Fundamental Algorithms

Donald E. Knuth
Publisher: 
Addison-Wesley
Publication Date: 
1997
Number of Pages: 
672
Format: 
Hardcover
Edition: 
3
Price: 
64.99
ISBN: 
9780201896831
Category: 
Textbook
BLL Rating: 

The Basic Library List Committee considers this book essential for undergraduate mathematics libraries.

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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

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