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Concrete mathematics : a foundation for computer science

Author: Ronald L Graham; Oren Patashnik; Donald Ervin Knuth
Publisher: Boston : Addison-Wesley, 2004.
Edition/Format:   Print book : English : 2. ed., 16. printView all editions and formats
Summary:

Introduces the mathematics that supports advanced computer programming and the analysis of algorithms. This book includes more than 500 exercises, divided into six categories. Complete answers are  Read more...

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Document Type: Book
All Authors / Contributors: Ronald L Graham; Oren Patashnik; Donald Ervin Knuth
ISBN: 0201558025 9780201558029
OCLC Number: 179752750
Description: XIII, 657 Seiten
Contents: (Most chapters contain Exercises.)1. Recurrent Problems. The Tower of Hanoi.Lines in the Plane.The Josephus Problem.Exercises.2. Sums. Notation.Sums and Recurrences.Manipulation of Sums.Multiple Sums.General Methods.Finite and Infinite Calculus.Infinite Sums.Exercises.3. Integer Functions. Floors and Ceilings.Floor/Ceiling Applications.Floor/Ceiling Recurrences.'mod': The Binary Operation.Floor/Ceiling Sums.Exercises.4. Number Theory. Divisibility.Factorial Factors.Relative Primality.'mod': The Congruence Relation.Independent Residues.Additional Applications.Phi and Mu.Exercises.5. Binomial Coefficients. Basic Identities.Basic Practice.Tricks of the Trade.Generating Functions.Hypergeometric Functions.Hypergeometric Transformations.Partial Hypergeometric Sums.Mechanical Summation.Exercises.6. Special Numbers. Stirling Numbers.Eulerian Numbers.Harmonic Numbers.Harmonic Summation.Bernoulli Numbers.Fibonacci Numbers.Continuants.Exercises.7. Generating Functions. Domino Theory and Change.Basic Maneuvers.Solving Recurrences.Special Generating Functions.Convolutions.Exponential Generating Functions.Dirichlet Generating Functions.Exercises.8. Discrete Probability. Definitions.Mean and Variance.Probability Generating Functions.Flipping Coins.Hashing.Exercises.9. Asymptotics. A Hierarchy.O Notation.O Manipulation.Two Asymptotic Tricks.Euler's Summation Formula.Final Summations.Exercises.A. Answers to Exercises. B. Bibliography. C. Credits for Exercises. Index. List of Tables. 0201558025T04062001
Responsibility: Ronald L. Graham ; Donald E. Knuth ; Oren Patashnik.

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