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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.
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.
Fundamental Constants (decimal).
Fundamental Constants (octal).
Harmonic Numbers, Bernoulli Numbers, Fibonacci Numbers.
| Price | Condition | Delivery | Seller | Action |
| $99.99 | Digital |
| WonderClub |
Mathew Hawn
reviewed The Art of Computer Programming Volume 2 on June 11, 2014 The Art of Computer Programming Volume 2
This was a much denser volume than the first volume. To say that it went over my head in many parts would be an understatement. It is interesting to see the points for where highly computationally intensive applications will have to be concerned.
The first half is a good warning to consider before you try and do anything "random." It actually begins with simple tests that are very intuitive to determine how random a series is and builds up to some fairly comprehensive tests.
Interestingly, the intro to the second half is just plain fun for a brief history of arithmetic. To the point that you will feel like such a "simple" discipline will seem almost alien. Very impressive.
At any rate, I do plan on revisiting sections later. Not sure I will make a ton more progress, but you won't know till you try. And many of these topics are more reachable once you missed them the first twenty times. :)
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