Art of Computer Programming, The: Fundamental Algorithms, Volume 1

The bible of all fundamental algorithms and the work that taught many of today's software developers most of what they know about computer programming. Byte , September 1995

I can't begin to tell you how many pleasurable hours of study and recreation they have afforded me! I have pored over them in cars, restaurants, at work, at home... and even at a Little League game when my son wasn't in the line-up.

Charles Long

If you think you're a really good programmer... read [Knuth's] Art of Computer Programming... You should definitely send me a resume if you can read the whole thing.

Bill Gates

It's always a pleasure when a problem is hard enough that you have to get the Knuths off the shelf. I find that merely opening one has a very useful terrorizing effect on computers.

Jonathan Laventhol

This first volume in the series begins with basic programming concepts and techniques, then focuses more particularly on information structuresthe representation of information inside a computer, the structural relationships between data elements and how to deal with them efficiently. Elementary applications are given to simulation, numerical methods, symbolic computing, software and system design. Dozens of simple and important algorithms and techniques have been added to those of the previous edition. The section on mathematical preliminaries has been extensively revised to match present trends in research.

Auteur

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.

Texte du rabat

A word from Don Knuth:

For the past 20 years I've been making copious notes in my personal copies of The Art of Computer Programming, whenever I've noticed how those books could be made better. Finally the time is ripe to typeset those books from scratch, using the tools of digital typography that I worked on during the 1980s. The new editions incorporate literally thousands of improvements, including hundreds of instructive new exercises and answers to exercises. I think most readers will enjoy these new things as much as I did when I first learned them. I've been especially careful to include any new historical details that have come to my attention, and to provide up-to-date information about all the research problems stated in previous editions. Computer Science has been changing and growing at a fantastic rate, yet I believe nearly everything in The Art of Computer Programming is crucial information that will never become obsolete.

This first volume in the series begins with basic programming concepts and techniques, then focuses more particularly on information structures-the representation of information inside a computer, the structural relationships between data elements and how to deal with them efficiently. Elementary applications are given to simulation, numerical methods, symbolic computing, software and system design. Dozens of simple and important algorithms and techniques have been added to those of the previous edition. The section on mathematical preliminaries has been extensively revised to match present trends in research.

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Résumé
Presents basic programming concepts and techniques. This book focuses on the representation of information inside a computer, the structural relationships between data elements, and how to deal with them efficiently. It gives elementary applications to simulation, numerical methods, symbolic computing, software and system design.

Contenu

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