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数据结构与算法分析:C++描述(第3版)

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《数据结构与算法分析:C++描述(第3版)》秉承Weiss著作一贯的严谨风格,同时又突出了实践。书中充分应用了现代C++语言特性,透彻地讲述了数据结构的原理和应用,不仅使学生具备算法分析能力,能够开发高效的程序,而且让学生掌握良好的程序设计技巧。Mark Allerl Weiss教授撰写的数据结构与算法分析方面的著作曾被评为20世纪最佳的30部计算机著作之一,已经成为公认的经典之作,被全球数百所大学采用为教材,广受好评。
Content Description

《数据结构与算法分析:C++描述(第3版)》是数据结构和算法分析的经典教材,书中使用主流的程序设计语言C++作为具体的实现语言。书的内容包括表、栈、队列、树、散列表、优先队列、排序、不相交集算法、图论算法、算法分析、算法设计、摊还分析、查找树算法、k-d树和配对堆等。《数据结构与算法分析:C++描述(第3版)》适合作为计算机相关专业本科生的数据结构课程和研究生算法分析课程的教材。本科生的数据结构课程可以使用《数据结构与算法分析:C++描述(第3版)》第1章~第9章,多学时课程还可以讲解第10章;研究生算法分析课程可以使用第6章~第12章。
Author Description

Mark Allen Weiss,1987年在普林斯顿大学获得计算机科学博士学位,师从著名算法大师Robert Sedgewick,现任美国佛罗里达国际大学计算与信息科学学院教授。他曾经担任全美AP(Advanced Placement)考试计算机学科委员会的主席(2000-2004)。他的主要研究方向是数据结构,算法和教育学。
Catalogue

第1章引论
1.1本书讨论的内容
1.2数学知识复习
1.2.1指数
1.2.2对数
1.2.3级数
1.2.4模运算
1.2.5证明方法
1.3递归的简单介绍
1.4C++类
1.4.1基本class语法
1.4.2特别的构造函数语法与访问函数
1.4.3接口与实现的分离
1.4.4vector和string
1.5C++细节
1.5.1指针
1.5.2参数传递
1.5.3返回值传递
1.5.4引用变量
1.5.5三大函数:析构函数、复制构造函数和operator=
1.5.6C风格的数组和字符串
1.6模板
1.6.1函数模板
1.6.2类模板
1.6.3Object、Comparable和例子
1.6.4函数对象
1.6.5类模板的分离编译
1.7使用矩阵
1.7.1数据成员、构造函数和基本访问函数
1.7.2operator[]
1.7.3析构函数、复制赋值和复制构造函数
小结
练习
参考文献

第2章算法分析
2.1数学基础
2.2模型
2.3要分析的问题
2.4运行时间计算
2.4.1一个简单的例子
2.4.2一般法则
2.4.3最大子序列和问题的解
2.4.4运行时间中的对数
2.4.5检验你的分析
2.4.6分析结果的准确性
小结
练习
参考文献

第3章表、栈和队列
3.1抽象数据类型(ADT)
3.2表ADT
3.2.1表的简单数组实现
3.2.2简单链表
3.3STL中的向量和表
3.3.1迭代器
3.3.2示例:对表使用erase
3.3.3const_iterator
3.4向量的实现
3.5表的实现
3.6栈ADT
3.6.1栈模型
3.6.2栈的实现
3.6.3应用
3.7队列ADT
3.7.1队列模型
3.7.2队列的数组实现
3.7.3队列的应用
小结
练习

第4章树
4.1预备知识
4.1.1树的实现
4.1.2树的遍历及应用
4.2二叉树
4.2.1实现
4.2.2一个例子——表达式树
4.3查找树ADT——二叉查找树
4.3.1contains
4.3.2findMin和findMax
4.3.3insert
4.3.4remove
4.3.5析构函数和复制赋值操作符
4.3.6平均情况分析
4.4AVL树
4.4.1单旋转
4.4.2双旋转
4.5伸展树
4.5.1一个简单的想法(不能直接使用)
4.5.2伸展
4.6树的遍历
4.7B树
4.8标准库中的set和map
4.8.1set
4.8.2map
4.8.3set和map的实现
4.8.4使用几个map的例子
小结
练习
参考文献

第5章散列
5.1基本思想
5.2散列函数
5.3分离链接法
5.4不使用链表的散列表
5.4.1线性探测
5.4.2平方探测
5.4.3双散列
5.5再散列
5.6标准库中的散列表
5.7可扩散列
小结
练习
参考文献

第6章优先队列(堆)
6.1模型
6.2一些简单的实现
6.3二叉堆
6.3.1结构性质
6.3.2堆序性质
6.3.3基本的堆操作
6.3.4堆的其他操作
6.4优先队列的应用
6.4.1选择问题
6.4.2事件模拟
6.5d堆
6.6左式堆
6.6.1左式堆性质
6.6.2左式堆操作
6.7斜堆
6.8二项队列
6.8.1二项队列结构
6.8.2二项队列操作
6.8.3二项队列的实现
6.9标准库中的优先队列
小结
练习
参考文献

第7章排序
7.1预备知识
7.2插入排序
7.2.1算法
7.2.2插入排序的STL实现
7.2.3插入排序的分析
7.3一些简单排序算法的下界
7.4谢尔排序
7.5堆排序
7.6归并排序
7.7快速排序
7.7.1选取枢纽元
7.7.2分割策略
7.7.3小数组
7.7.4实际的快速排序例程
7.7.5快速排序的分析
7.7.6选择问题的线性期望时间算法
7.8间接排序
7.8.1vector<Comparable*>不运行
7.8.2智能指针类
7.8.3重载operator<
7.8.4使用“*”解引用指针
7.8.5重载类型转换操作符
7.8.6随处可见的隐式类型转换
7.8.7双向隐式类型转换会导致歧义
7.8.8指针减法是合法的
7.9排序算法的一般下界
7.10桶排序
7.11外部排序
7.11.1为什么需要新算法
7.11.2外部排序模型
7.11.3简单算法
7.11.4多路合并
7.11.5多相合并
7.11.6替换选择
小结
练习
参考文献

第8章不相交集类
8.1等价关系
8.2动态等价性问题
8.3基本数据结构
8.4灵巧求并算法
8.5路径压缩
8.6按秩求并和路径压缩的最坏情形
8.7一个应用
小结
练习
参考文献

第9章图论算法
9.1若干定义
9.2拓扑排序
9.3最短路径算法
9.3.1无权最短路径
9.3.2Dijkstra算法
9.3.3具有负边值的图
9.3.4无环图
9.3.5所有顶点对的最短路径
9.3.6最短路径举例
9.4网络流问题
9.5最小生成树
9.5.1Prim算法
9.5.2Kruskal算法
9.6深度优先搜索的应用
9.6.1无向图
9.6.2双连通性
9.6.3欧拉回路
9.6.4有向图
9.6.5查找强分支
9.7NP完全性介绍
9.7.1难与易
9.7.2NP类
9.7.3NP完全问题
小结
练习
参考文献

第10章算法设计技巧
10.1贪心算法
10.1.1一个简单的调度问题
10.1.2赫夫曼编码
10.1.3近似装箱问题
10.2分治算法
10.2.1分治算法的运行时间
10.2.2最近点问题
10.2.3选择问题
10.2.4一些算术问题的理论改进
10.3动态规划
10.3.1用表代替递归
10.3.2矩阵乘法的顺序安排
10.3.3最优二叉查找树
10.3.4所有点对最短路径
10.4随机化算法
10.4.1随机数生成器
10.4.2跳跃表
10.4.3素性测试
10.5回溯算法
10.5.1公路收费点重建问题
10.5.2博弈
小结
练习
参考文献

第11章摊还分析
11.1一个无关的智力问题
11.2二项队列
11.3斜堆
11.4斐波那契堆
11.4.1切除左式堆中的结点
11.4.2二项队列的懒惰合并
11.4.3斐波那契堆操作
11.4.4时间界的证明
11.5伸展树
小结
练习
参考文献

第12章高级数据结构及其实现
12.1自顶向下伸展树
12.2红黑树
12.2.1自底向上插入
12.2.2自顶向下红黑树
12.2.3自顶向下删除
12.3确定性跳跃表
12.4AA树
12.5treap树
12.6k-d树
12.7配对堆
小结
练习
参考文献
附录类模板的分离编译
索引

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