计算机程序设计艺术第 3 版（第一卷）
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作者： (美)Donald E. Knuth著
出 版 社： 清华大学出版社
出版时间： 2002-9-1字数：版次： 1页数： 650印刷时间： 2002/09/01开本：印次：纸张： 胶版纸I S B N ： 9787302058144包装： 精装编辑推荐
为反映计算机领域的最新发展，Knuth二十多年来第一次将三卷书全部做了修订。他的修订主要集中在自上一版以来得到众人认可的新知识，已经解决的问题，以及有所变化的问题。为保持本书的权威性，在必要的地方对计算机领域先驱工作的历史信息做了更新；为维护作者苦心孤诣追求至善至美的盛誉，新版本对读者发现的少量技术性错误做了更正；为增加本书的挑战性，作者还添加了数百道习题。本套书由3卷组成。
内容简介
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版中最引人注目的是，Knuth对随机数生成器进行了重新处理，对形式幂级数计算作了深入讨论。
本书是国内外业广泛关注的《计算机程序设计艺术》的第3 卷。本卷首先介绍编程的基本概念和技术，然后详细讲解信息结构方面的内容，包括信息在计算机内部的表示方法、数据元素之间的结构关系等方面的初级应用。
作者简介
Donald.E.Knuth(唐纳德.E.克努特，中文名高德纳)是算法和程序设计技术的先驱者，是计算机排版系统TEX和METAFONT的发明者，他因这些成就和大量创造性的影响深远的著作(19部书和160篇论文)而誉满全球。作为斯坦福大学计算机程序设计艺术的荣誉退休教授，他当前正全神贯注于完成其关于计算机科学的史诗性的七卷集。这一伟大工程在1962年他还是加利福尼亚理工学院的研究生时就开始了。Knuth教授获得了许多奖项和荣誉，包括美国计算机协会图灵奖(ACM Turing Award)，美国前总统卡特授予的科学金奖(Medal of Science)，美国数学学会斯蒂尔奖(AMS Steele Prize)，以及1996年11月由于发明先进技术而荣获的备受推崇的京都奖(Kyoto Prize)。Knuth教授现与其妻Jill生活于斯坦福校园内。
访问Knuth教授的个人主页，可以获得有关本书及本系列其他未出版图书的更多信息：
www-cs-faculty.stanford.edu/~knuth
目录
Chapter 1 Basic Concepts
1.1. Algorithms
1.2. Mathematical Preliminaries
1.2.1. Mathematical Induction
1.2.2. Numbers, Powers, and Logarithms
1.2.3. Sums and Products
1.2.4. Integer Functions and Elementary Number Theory
1.2.5. Permutations and Factorials
1.2.6. Binomial Coefficients
1.2.7. Harmonic Numbers
1.2.8. Fibonacci Numbers
1.2.9. Generating Functions
1.2.10. Analysis of an Algorithm
*1.2.11. Asymptotic Representations
*1.2.11.1. The O-notation
*1.2.11.2. Euler's summation formula
*1.2.11.3. Some asymptotic calculations
1.3. MIX 124
1.3.1. Description of MIX
1.3.2. The MIX Assembly Language
1.3.3. Applications to Permutations
1.4. Some Fundamental Programming Techniques
1.4.1. Subroutines
1.4.2. Goroutines
1.4.3. Interpretive Routines
1.4.3.1. A MIX simulator
*1.4.3.2. Trace routines
1.4.4. Input and Output
1.4.5. History and Bibliography
Chapter 2 Information Structures
2.1. Introduction
2.2. Linear Lists
2.2.1. Stacks, Queues, and Deques
2.2.2. Sequential Allocation
2.2.3. Linked Allocation
2.2.4. Circular Lists
2.2.5. Doubly Linked Lists
2 2.6. Arrays and Orthogonal Lists
2.3. Trees
2.3.1. Traversing Binary Trees
2.3.2. Binary Tree Representation of Trees
2.3.3. Other Representations of Trees
2.3.4. Basic Mathematical Properties of Trees
2.3.4.1. Free trees
2.3.4.2. Oriented trees
*2.3.4.3. The "infinity lemma"
*2.3.4.4. Enumeration of trees
2.3.4.5. Path length
*2.3.4.6. History and bibliography
2.3.5. Lists and Garbage Collection
2.4. Multilinked Structures
2.5. 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
Excerpt
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.
Chapter 5 Sorting.
Combinatorial Properties of Permutations.
Inversions.
Permutations of a Multiset.
Runs.
Tableaux and Involutions.
Internal sorting.
Sorting by Insertion.
Sorting by Exchanging.
Sorting by Selection.
Sorting by Merging.
Sorting by Distribution.
Optimum Sorting.
Minimum-Comparison Sorting.
Minimum-Comparison Merging.
Minimum-Comparison Selection.
Networks for Sorting.
External Sorting.
Multiway Merging and Replacement Selection.
The Polyphase Merge.
The Cascade Merge.
Reading Tape Backwards.
The Oscillating Sort.
Practical Considerations for Tape Merging.
External Radix Sorting.
Two-Tape Sorting.
Disks and Drums.
Summary, History, and Bibliography.
Chapter 6 Searching.
Sequential Searching.
Searching by Comparison of Keys.
Searching an Ordered Table.
Binary Tree Searching.
Balanced Trees.
Multiway Trees.
Digital Searching.
Hashing.
Retrieval on Secondary Keys.
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.
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