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The Art of Computer Programming, Volume 2: Seminumerical Algorithms

Donald E. Knuth
Publisher: 
Addison-Wesley
Publication Date: 
1997
Number of Pages: 
784
Format: 
Hardcover
Edition: 
3
Price: 
64.99
ISBN: 
9780201896848
Category: 
Textbook
BLL Rating: 

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

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3. Random Numbers.

Introduction.

Generating Uniform Random Numbers.

The Linear Congruential Method.

Other Methods.

Statistical Tests.

General Test Procedures for Studying Random Data.

Empirical Tests.

Theoretical Tests.

The Spectral Test.

Other Types of Random Quantities.

Numerical Distributions.

Random Sampling and Shuffling.

What Is a Random Sequence?

Summary.



4. Arithmetic.

Positional Number Systems.

Floating Point Arithmetic.

Single-Precision Calculations.

Accuracy of Floating Point Arithmetic.

Double-Precision Calculations.

Distribution of Floating Point Numbers.

Multiple Precision Arithmetic.

The Classical Algorithms.

Modular Arithmetic.

How Fast Can We Multiply?

Radix Conversion.

Rational Arithmetic.

Fractions.

The Greatest Common Divisor.

Analysis of Euclid's Algorithm.

Factoring into Primes.

Polynomial Arithmetic.

Division of Polynomials.

Factorization of Polynomials.

Evaluation of Powers.

Evaluation of Polynomials.

Manipulation of Power Series.



Answers to Exercises.


Appendix A. Tables of Numerical Quantities.

Fundamental Constants (decimal).

Fundamental Constants (octal).

Harmonic Numbers, Bernoulli Numbers, Fibonacci Numbers.



Appendix B. Index to Notations.


Index and Glossary. 0201896842T03062003

 
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