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算法设计与分析基础(第2版.英文影印版)

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算法设计与分析基础(第2版.英文影印版)

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作 者:(美)Anany Levitin

出 版 社:清华大学出版社

出版时间:2007 年11月

I S B N:9787302164029

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经典原著,原味赏析.
  角度新颖,独树一帜..
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内容简介

本书采用了一种算法设计技术的新分类方法,不但比传统分类法包容性更强,而且更直观,也更有效,因此广受好评。
   这种分类框架条理清晰,契合教育学原理,非常适合算法教学。网上提供了详尽的教学指南供教师和学生下载,书中还为学生安排了习题提示和每章小结。为了提高学习兴趣,书中应用了许多流行的谜题和游戏,需要重点思考的地方则往往会用反问来提醒注意。

作者简介

(美) Anany Levitin是Villanova大学计算科学系的教授。他的论文A New Road Map of Algorithm Design Techniques:Picking Up Where the Traditi。onal Classification Leaves Off(《算法设计技术新途径:弥补传统分类法的缺·感》)受到业内人士极高的评价。在SIGCSE会议上,作者做过多次关于算法教学的演讲。
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目录

preface
1 introduction
 1.1 what is an algorithm?
 exercises 1.1
 1.2 fundamentals of algorithmic problem solving
  understanding the problem
  ascertaining the capabilities of a computational device
  choosing between exact and approximate problem solving
  deciding on appropriate data structures
  algorithm design techniques
  methods of specifying an algorithm
  proving an algorithm's correctness
  analyzing an algorithm
  coding an algorithm
  exercises 1.2
 1.3 important problem types
  sorting
  searching
  string processing
  graph problems
.  combinatorial problems
  geometric problems
  numerical problems
  exercises 1.3
 1.4 fundamental data structures
  linear data structures
  graphs
  trees
  sets and dictionaries
  exercises 1.4
  summary
2 fundamentals of the analysis of algorithm efficiency
 2.1 analysis framework
  measuring an input's size
  units for measuring running -[]me
  orders of growth
  worst-case, best-case, and average-case efficlencies
  recapitulation of the analysis framework
  exercises 2.1
 2.2 asymptotic notations and basic efficiency classes
  informal introduction
  o-notation
  9-notation
  onotation
  useful property involving the asymptotic notations
  using limits for comparing orders of growth
  basic efficiency classes
  exercises 2.2
  2.3 mathematical analysis of nonrecursive algorithms
  exercises 2.3
  2.4 mathematical analysis of recursive algorithms
  exercises 2.4
  2.5 example: fibonacci numbers
  explicit formula for the nth fibonacci number
  algorithms for computing fibonacci numbers
  exercises 2.5
3 brute force
4 divide-and-conquer
5 decrease-and-conquer
6 transform-and-conquer
7 space and lime tradeoffs
8 dynamic programming
9 greedy technique
10 iterative improvement
11 limitations of algorithm power
12 coping with the limitations of algorithm power
epilogue
appendix a
useful formulas for the analysis of algorithms
appendix b
short tutorial on recurrence relations
bibliography
hints to exercises
index

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