Concrete mathematics : a foundation for computer science / Ronald L. Graham, Donald E. Knuth and Oren Patashnik.

By:

Graham, Ronald L

Contributor(s):

Material type: Text

TextPublication details: Reading, Massachusetts : Addison-Wesley, c1989.Description: xiii, 625 p. : ill. ; 25 cmISBN:

9780201142365

Subject(s):

DDC classification:

510 23 G741

Contents:

1. Recurrent problems : The Tower of Hanoi ; Lines in the plane ; The Josephus problem -- 2. Sums : Notation ; Sums and recurrences ; Manipulation of sums ; General methods ; Finite and infinite calculus ; Infinite sums -- 3. Integer functions : Floors and ceilings ; Floor/ceiling applications ; Floor/ceiling recurrences ; 'mod': the binary operation ; Floor/ceiling sums -- 4. Number theory : Divisibility ; Primes ; Prime examples ; Factorial factors ; Relative primality ; 'mod': the congruence relation ; Independent residues ; Additional applications ; Phi and mu -- 5. Binomial coefficients : Basic identities ; Basic practice ; Tricks of the trade ; Generating functions ; Hypergeometric functions ; Hypergeometric transformations ; Partial hypergeometric sums ; Mechanical summation -- 6. Special numbers : Stirling numbers ; Eulerian numbers ; Harmonic numbers ; Harmonic summation ; Bernoulli numbers ; Fibonacci numbers ; Continuants -- 7. Generating functions : Domino theory and change ; Basic maneuvers ; Solving recurrence ; Special generating functions ; Convolutions ; Exponential generating functions ; Dirichlet generating functions -- 8. Discrete probability : Definitions ; Mean and variance ; Probability generating functions ; Flipping coins ; Hashing -- 9. Asymptotics : A hierarchy ; O notation ; O manipulation ; Two asymptotic tricks ; Euler's summation formula ; Final summations. A Answers to exercises; B Bibliography; C Credits for exercises; Index; List of tables.

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Holdings
Item type	Current library	Call number	Status	Date due	Barcode	Item holds
Books	ISI Library, Kolkata	510 G741 (Browse shelf(Opens below))	Available		C26386

Total holds: 0

Includes bibliographical references and index.

1. Recurrent problems : The Tower of Hanoi ; Lines in the plane ; The Josephus problem --
2. Sums : Notation ; Sums and recurrences ; Manipulation of sums ; General methods ; Finite and infinite calculus ; Infinite sums --
3. Integer functions : Floors and ceilings ; Floor/ceiling applications ; Floor/ceiling recurrences ; 'mod': the binary operation ; Floor/ceiling sums --
4. Number theory : Divisibility ; Primes ; Prime examples ; Factorial factors ; Relative primality ; 'mod': the congruence relation ; Independent residues ; Additional applications ; Phi and mu --
5. Binomial coefficients : Basic identities ; Basic practice ; Tricks of the trade ; Generating functions ; Hypergeometric functions ; Hypergeometric transformations ; Partial hypergeometric sums ; Mechanical summation --
6. Special numbers : Stirling numbers ; Eulerian numbers ; Harmonic numbers ; Harmonic summation ; Bernoulli numbers ; Fibonacci numbers ; Continuants --
7. Generating functions : Domino theory and change ; Basic maneuvers ; Solving recurrence ; Special generating functions ; Convolutions ; Exponential generating functions ; Dirichlet generating functions --
8. Discrete probability : Definitions ; Mean and variance ; Probability generating functions ; Flipping coins ; Hashing --
9. Asymptotics : A hierarchy ; O notation ; O manipulation ; Two asymptotic tricks ; Euler's summation formula ; Final summations.
A Answers to exercises;
B Bibliography;
C Credits for exercises;
Index;
List of tables.

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