Verfügbarkeit: Concrete mathematics

Concrete mathematics: a foundation for computer science

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Bibliographische Detailangaben
Hauptverfasser:	Graham, Ronald L. 1935-2020 (VerfasserIn), Knuth, Donald Ervin 1938- (VerfasserIn), Patashnik, Oren 1954- (VerfasserIn)
Format:	Buch
Sprache:	English
Veröffentlicht:	Reading, Mass. [u.a.] Addison-Wesley 1990
Ausgabe:	6. print. with corr.
Schlagworte:	Informatique - Mathématiques Mathématiques Software Wiskundige methoden Informatik Mathematik Computer science > Mathematics Mathematics Zahlentheorie Grundlage Computer Analysis Arithmetik Diskrete Mathematik Datenverarbeitung Aufgabensammlung
Online-Zugang:	Inhaltsverzeichnis
Beschreibung:	Literaturverz. S. 578 - 600
Beschreibung:	XIII, 625 S.
ISBN:	0201142368

Internformat

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Datensatz im Suchindex

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adam_text	Contents 1 Recurrent Problems 1 1.1 The Tower of Hanoi 1 1.2 Lines in the Plane 4 1.3 The Josephus Problem 8 Exercises 17 2 Sums 21 2.1 Notation 21 2.2 Sums and Recurrences 25 2.3 Manipulation of Sums 30 2.4 Multiple Sums 34 2.5 General Methods 41 2.6 Finite and Infinite Calculus 47 2.7 Infinite Sums 56 Exercises 62 3 Integer Functions 67 3.1 Floors and Ceilings 67 3.2 Floor/Ceiling Applications 70 3.3 Floor/Ceiling Recurrences 78 3.4 mod : The Binary Operation 81 3.5 Floor/Ceiling Sums 86 Exercises 95 4 Number Theory 102 4.1 Divisibility 102 4.2 Primes 105 4.3 Prime Examples 107 4.4 Factorial Factors 111 4.5 Relative Primality 115 4.6 mod : The Congruence Relation 123 4.7 Independent Residues 126 4.8 Additional Applications 129 4.9 Phi and Mu 133 Exercises 144 5 Binomial Coefficients _^ 153 5.1 Basic Identities 153 5.2 Basic Practice 172 xii CONTENTS xiii 5.3 Tricks of the Trade 186 5.4 Generating Functions 196 5.5 Hypergeometric Functions 204 5.6 Hypergeometric Transformations 216 5.7 Partial Hypergeometric Sums 223 Exercises 230 6 Special Numbers 243 6.1 Stirling Numbers 243 6.2 Eulerian Numbers 253 6.3 Harmonic Numbers 258 6.4 Harmonic Summation 265 6.5 Bernoulli Numbers 269 6.6 Fibonacci Numbers 276 6.7 Continuants 287 Exercises 295 7 Generating Functions 306 7.1 Domino Theory and Change 306 7.2 Basic Maneuvers 317 7.3 Solving Recurrences 323 7.4 Special Generating Functions 336 7.5 Convolutions 339 7.6 Exponential Generating Functions 350 7.7 Dirichlet Generating Functions 356 Exercises 357 8 Discrete Probability 367 8.1 Definitions 367 8.2 Mean and Variance 373 8.3 Probability Generating Functions 380 8.4 Flipping Coins 387 8.5 Hashing 397 Exercises 413 9 Asymptotics 425 9.1 A Hierarchy 426 9.2 O Notation 429 9.3 O Manipulation 436 9.4 Two Asymptotic Tricks 449 9.5 Euler s Summation Formula 455 9.6 Final Summations 462 Exercises 475 A Answers to Exercises 483 B Bibliography 578 C Credits for Exercises 601 Index 606 List of Tables 624
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spellingShingle	Graham, Ronald L. 1935-2020 Knuth, Donald Ervin 1938- Patashnik, Oren 1954- Concrete mathematics a foundation for computer science Informatique - Mathématiques Mathématiques Software gtt Wiskundige methoden gtt Informatik Mathematik Computer science Mathematics Mathematics Zahlentheorie (DE-588)4067277-3 gnd Grundlage (DE-588)4158388-7 gnd Computer (DE-588)4070083-5 gnd Informatik (DE-588)4026894-9 gnd Analysis (DE-588)4001865-9 gnd Mathematik (DE-588)4037944-9 gnd Arithmetik (DE-588)4002919-0 gnd Diskrete Mathematik (DE-588)4129143-8 gnd Datenverarbeitung (DE-588)4011152-0 gnd
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title	Concrete mathematics a foundation for computer science
title_auth	Concrete mathematics a foundation for computer science
title_exact_search	Concrete mathematics a foundation for computer science
title_full	Concrete mathematics a foundation for computer science Ronald L. Graham ; Donald E. Knuth ; Oren Patashnik
title_fullStr	Concrete mathematics a foundation for computer science Ronald L. Graham ; Donald E. Knuth ; Oren Patashnik
title_full_unstemmed	Concrete mathematics a foundation for computer science Ronald L. Graham ; Donald E. Knuth ; Oren Patashnik
title_short	Concrete mathematics
title_sort	concrete mathematics a foundation for computer science
title_sub	a foundation for computer science
topic	Informatique - Mathématiques Mathématiques Software gtt Wiskundige methoden gtt Informatik Mathematik Computer science Mathematics Mathematics Zahlentheorie (DE-588)4067277-3 gnd Grundlage (DE-588)4158388-7 gnd Computer (DE-588)4070083-5 gnd Informatik (DE-588)4026894-9 gnd Analysis (DE-588)4001865-9 gnd Mathematik (DE-588)4037944-9 gnd Arithmetik (DE-588)4002919-0 gnd Diskrete Mathematik (DE-588)4129143-8 gnd Datenverarbeitung (DE-588)4011152-0 gnd
topic_facet	Informatique - Mathématiques Mathématiques Software Wiskundige methoden Informatik Mathematik Computer science Mathematics Mathematics Zahlentheorie Grundlage Computer Analysis Arithmetik Diskrete Mathematik Datenverarbeitung Aufgabensammlung
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work_keys_str_mv	AT grahamronaldl concretemathematicsafoundationforcomputerscience AT knuthdonaldervin concretemathematicsafoundationforcomputerscience AT patashnikoren concretemathematicsafoundationforcomputerscience

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