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The Art of Computer Programming, Volume 2: Seminumerical Algorithms (1969)

door Donald E. Knuth

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935318,431 (4.51)2
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.   -Charles Long   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.   -Bill Gates   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.   -Jonathan Laventhol   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… (meer)
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Indeholder "Preface", "Preface to the Second Edition", "Notes on the Exercises", "Chapter 3. Random Numbers", " 3.1. Introduction", " 3.2. Generating Uniform Random Numbers", " 3.2.1. The Linear Congruential Method", " 3.2.1.1. Choice of modulus", " 3.2.1.2. Choice of multiplier", " 3.2.1.3. Potency", " 3.2.2. Other Methods", " 3.3. Statistical Tests", " 3.3.1. General Test Procedures for Studying Random Data", " 3.3.2. Empirical Tests", " 3.3.3* Theoretical Tests", " 3.3.4. The Spectral Test", " 3.4. Other Types of Random Quantities", " 3.4.1. Numerical Distributions", " 3.4.2. Random Sampling and Shuffling", " 3.5* What Is a Random Sequence?", " 3.6. Summary", "Chapter 4. Arithmetic", " 4.1. Positional Number Systems", " 4.2. Floating Point Arithmetic", " 4.2.1. Single-Precision Calculations", " 4.2.2. Accuracy of Floating Point Arithmetic", " 4.2.3* Double-Precision Calculations", " 4.2.4. Distribution of Floating Point Numbers", " 4.3. Multiple Precision Arithmetic", " 4.3.1. The Classical Algorithms", " 4.3.2* Modular Arithmetic", " 4.3.3* How Fast Can We Multiply?", " 4.4. Radix Conversion", " 4.5. Rational Arithmetic", " 4.5.1. Fractions", " 4.5.1. The Greatest Common Divisor", " 4.5.3* Analysis of Euclid's Algorithm", " 4.5.1. Factoring into Primes", " 4.6. Polynomial Arithmetic", " 4.6.1. Division of Polynomials", " 4.6.2* Factorization of Polynomials", " 4.6.3. Evaluation of Powers", " 4.6.4. Evaluation of Polynomials", " 4.7* Manipulation of Power Series", "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".

Mesteren selv fortæller hvordan man bør programmere. Heldigvis har folkene bag Mathematica, Maple og lignende programmer læst på lektien, så vi andre ikke behøver være helt så skarpe. ( )
  bnielsen | Nov 8, 2016 |
I used this volume less than Fundamental Algorithms, and Sorting and Searching, but it still saved me hours and hours of work, more than once. ( )
  Lyndatrue | Jan 11, 2014 |
Difficult, instructive, intelligent, amusing and brain-numbing - all rolled-in-to-one in this classic of CS. Buy it, read a page at a sitting and savor it - this is a book read over 5 years. ( )
  appa | Dec 22, 2007 |
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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.   -Charles Long   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.   -Bill Gates   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.   -Jonathan Laventhol   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

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