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具体数学

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具体数学

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作 者:(美)Ronald L. Graham (美)Donald E. Knuth (美)Oren Patashnik

出 版 社:机械工业出版社

出版时间:2007-01

I S B N:711110576

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姓名:(美)RonaldL.Graham
作者简介:
作品:《具体数学》 姓名:(美)(Ronald L.Graham)格雷厄姆
作者简介:
作品:《具体数学》 姓名:(美)Ronald L. Graham (美)Donald E. Knuth (美)Oren
作者简介:
作品:《具体数学》

内容简介

This 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 virtual

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作者简介

目录

1?recurrent?problems
1.l?the?tower?of?hanoi?1
1.2?lines?in?the?p1ane?4
1.3?the?josephus?problem?8
exercises?17
2?sums
2.1?notation?21
2.2?sums?and?recurrences?25
2.3?mainpulation?of?sums?30
2.4?mu1tip1e?sums?34
2.5?general?methods?4l
2.6?finite?and?infinite?calcu1us?47
2.7?infinite?sums?56
exercises?62
3?integer?functions
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?f1oor/cei1ing?sums?86
exercises?95
4?number?theory
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?re1ation?123
4.7?independent?residues?l26
4.8?additional?applications?129
4.9?phi?and?mu?133
exercises?144
5?binomial?coefficients
5.1?basic?identities?l53
5.2?basic?practice?172
5.3?tricks?of?the?trade?186
5.4?generating?functions?196
5.5?hypergeometric?functions?204
5.6?hypergeometric?transformations?216
5.7?p

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