000			02614nam a22002657a 4500
005			20240826122609.0
008			240826b |||||||| |||| 00| 0 eng d
020			_a9780201558029 (HB)
041			_aeng
082			_a510.01 _bGRA
100			_aGraham, Ronald L.
245			_aConcrete mathematics _b a foundation for computer science
250			_a2
260			_aBoston _bAddison-Wesley, _c2024
300			_a XIII, 657 p
505			_a1. 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
520			_aThis book introduces the mathematics that supports advanced computer programming and the analysis of algorithms. The primary aim of its well-known authors is to provide a solid and relevant base of mathematical skills - the skills needed to solve complex problems, to evaluate horrendous sums, and to discover subtle patterns in data. It is an indispensable text and reference not only for computer scientists - the authors themselves rely heavily on it! - but for serious users of mathematics in virtually every discipline."
650			_aComputer science Mathematics
650			_aInformatique Mathématiques
650			_aMathematics
700			_a Donald Ervin Knuth, ,
700			_aOren Patashnik
700			_aDonald Knuth
942			_2ddc _cBK
999			_c2363 _d2363