The Art of Computer Programming.VoLume 2,Seminumerical Algorithms
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ISBN：9787302058151
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简介
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第2卷对半数值算法领域做了全面介绍，分“随机数”和“算术”两章。本卷总结了主要算法范例及这些算法的基本理论，广泛剖析了计算机程序设计与数值分析间的相互联系。第3版中特别值得注意的是knuth对随机数生成程序的重新处理和对形式幂级数计算的讨论。
目录
chapter 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.
chapter 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.
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.
chapter 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.
The Art of Computer Programming.VoLume 2,Seminumerical Algorithms
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