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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.
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.
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.
The second volume offers a complete introduction to the field of seminumerical algorithms, with separate chapters on random numbers and arithmetic. The book summarizes the major paradigms and basic theory of such algorithms, thereby providing a comprehensive interface between computer programming and numerical analysis. Particularly noteworthy in this third edition is Knuth's new treatment of random number generators, and his discussion of calculations with formal power series.
eBook (PDF version) produced by Mathematical Sciences Publishers (MSP), http://msp.org
3. Random Numbers.
Generating Uniform Random Numbers.
The Linear Congruential Method.
General Test Procedures for Studying Random Data.
The Spectral Test.
Other Types of Random Quantities.
Random Sampling and Shuffling.
What Is a Random Sequence?
Positional Number Systems.
Floating Point Arithmetic.
Accuracy of Floating Point Arithmetic.
Distribution of Floating Point Numbers.
Multiple Precision Arithmetic.
The Classical Algorithms.
How Fast Can We Multiply?
The Greatest Common Divisor.
Analysis of Euclid's Algorithm.
Factoring into Primes.
Division of Polynomials.
Factorization of Polynomials.
Evaluation of Powers.
Evaluation of Polynomials.
Manipulation of Power Series.
Fundamental Constants (decimal).
Fundamental Constants (octal).
Harmonic Numbers, Bernoulli Numbers, Fibonacci Numbers.