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具体数学计算机科学基础(英文版·第2版)图书
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具体数学计算机科学基础(英文版·第2版)

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...
  • 所属分类:图书 >计算机/网络>计算机理论  
  • 作者:(美)[Ronald] L. [Graham],(美)[Donald] E. [Knuth],(美)[Oren]
  • 产品参数:
  • 丛书名:经典原版书库
  • 国际刊号:9787111105763
  • 出版社:机械工业出版社
  • 出版时间:2002-08
  • 印刷时间:2002-08-01
  • 版次:1
  • 开本:32开
  • 页数:--
  • 纸张:胶版纸
  • 包装:平装
  • 套装:

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 virtually every discipline. Concrete mathematics is a blending of continuous and disCRETE mathematics: "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas,using a collection of techniques for solving problems." The subject mater is primarily an expansion of the Mathematical Preliminaries section in Knuths c1assic Art of Computer Programming, but the style of presentation is more leisurely, and individual topics are covered more deeply. Several new topics have been added, and the most significant ideas have been traced to their historical roots. The book includes more than 500 exercises, divided into six categories. Complete answers are provided for all exercises, except research problems, making the book particularly valuable for self-study.

编辑推荐

《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。

目录

[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

……

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