具体数学计算机科学基础(英文版.第2版)//经典原版书库

《具体数学:计算机科学基础》(英文版第2版)是一本全英文版的具体数学计算机科学基础的参考书。

ThisbookintroducesthemathematicsthatsupportsadvancedcomputerProgrammingandtheanalysisofalgorithms.Theprimaryaimofitswell-knownauthorsistoprovideasolidandrelevantbaseofmathematicalskills--theskillsneededtosolvecomplexproblems,toevaluatehorrendoussums,andtodiscoversubtlePatternsindata.Itisanindispensabletextandreferencenotonlyforcomputerscientists--theauthorsthemselvesrelyheavilyonit!butforserioususersOfmathematicsinvirtuallyeverydiscipline.ConcretemathematicsisablendingofcontinuousanddisCRETEmathematics:"Moreconcretely,"theauthorsexplain,"itisthecontrolledmanipulationofmathematicalformulas,usingacollectionoftechniquesforsolvingproblems."ThesubjectmaterisprimarilyanexpansionoftheMathematicalPreliminariessectioninKnuth'sc1assicArtofComputerProgramming,butthestyleofpresentationismoreleisurely,andindividualtopicsarecoveredmoredeeply.Severalnewtopicshavebeenadded,andthemostsignificantideashavebeentracedtotheirhistoricalroots.Thebookincludesmorethan500exercises,dividedintosixcategories.Completeanswersareprovidedforallexercises,exceptresearchproblems,makingthebookparticularlyvaluableforself-study.

作者：(美国)格雷厄姆(RonaldL.Graham)

【目录】
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
1

......