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计算机科学丛书：离散数学及其应用（原书第6版·本科教学版）

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计算机科学丛书：离散数学及其应用（原书第6版·本科教学版）

Name: 计算机科学丛书：离散数学及其应用（原书第6版·本科教学版）
Brand: Jingdong book
SKU: 3101004561
Price: 44.52 USD
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《计算机科学丛书：离散数学及其应用（原书第6版·本科教学版）》一书是介绍离散数学理论和方法的经典教材，已经成为采用率高的离散数学教材，仅在美国就被600多所高校用作教材，并获得了极大的成功。第6版在前5版的基础上做了大量的改进，使其成为更有效的教学工具。
《计算机科学丛书：离散数学及其应用（原书第6版·本科教学版）》基于该书第6版进行改编，保留了国内离散数学课程涉及的基本内容，更加适合作为国内高校计算机及相关专业本科生的离散数学课程教材。
本书的具体改编情况如下：
·第1章中补充了关于范式和标准型的基础内容。
·删去了在其他课程中讲授的内容，如数论、离散概率、归纳和递归等。
·对于保留章节，删去了编号为偶数的练习题。
·删去了相关的历史资料。

Content Description

《离散数学及其应用（原书第6版）（本科教学版）》是经典的离散数学教材，为全球多所大学广为采用。《计算机科学丛书：离散数学及其应用（原书第6版·本科教学版）》全面而系统地介绍了离散数学的理论和方法，除包括定义、定理的严密陈述外，还配备大量的实例和图表的说明、各种练习和题目。第6版在前五版的基础上做了大量的改进，使其成为更有效的教学工具。
《计算机科学丛书：离散数学及其应用（原书第6版·本科教学版）》可作为高等院校数学、计算机科学和计算机工程等专业的教材或参考书。

Author Description

Kenneth H.Rosen，密歇根大学数学学士，麻省理工学院数学博士，曾就职于科罗拉多大学、俄亥俄州立大学、缅因大学，后加盟贝尔实验室，现为AT&T实验室特别成员。除本书外，他还著有《初等数论及其应用》等书，并担任CRC离散数学丛书的主编。

Catalogue

出版者的话
改编者序
译者序
前言
第1章基础：逻辑和证明
1.1 命题逻辑
1.1.1 引言
1.1.2 命题
1.1.3 条件语句
1.1.4 复合命题的真值表
1.1.5 逻辑运算符的优先级
1.1.6 翻译语句
1.1.7 系统规范说明
1.1.8 布尔检索
1.1.9 逻辑难题
1.1.10 逻辑运算和位运算
练习
1.2 命题等价
1.2.1 引言
1.2.2 逻辑等价
1.2.3 德摩根律的运用
1.2.4 构建新的逻辑等价式
练习
1.3 谓词和量词
1.3.1 引言
1.3.2 谓词
1.3.3 量词
1.3.4 其他量词
1.3.5 约束论域量词
1.3.6 量词的优先级
1.3.7 绑定变量
1.3.8 涉及量词的逻辑等价
1.3.9 否定量化表达式
1.3.1 0翻译语句为逻辑表达式
1.3.1 1在系统说明中运用量词
1.3.1 2选自LewisCarroll的例子
1.3.1 3逻辑程序设计
练习
1.4 嵌套量词
1.4.1 引言
1.4.2 量词的顺序
1.4.3 将数学语句翻译成涉及嵌套量词的语句
1.4.4 将嵌套量词翻译为汉语
1.4.5 将汉语语句翻译成逻辑表达式
1.4.6 否定嵌套量词
练习
1.5 推理规则
1.5.1 引言
1.5.2 命题逻辑的有效论证
1.5 ：3命题逻辑的推理规则
1.5.4 用推理规则建立论证
1.5.5 消解
1.5.6 谬误
1.5.7 带量词命题的推理规则
1.5.8 命题推理和量化语句推理规则的结合
练习
1.6 证明导论
1.6.1 引言
1.6.2 一些专用术语
1.6.3 定理陈述的理解
1.6.4 证明定理的方法
1.6.5 直接证明
1.6.6 反证法
1.6.7 归谬证明
1.6.8 证明中的错误
1.6.9 仅仅是开始
练习
1.7 证明的方法和策略
1.7.1 引言
1.7.2 穷举证明和分情形证明
1.7.3 存在性证明
1.7.4 唯一性证明
1.7.5 证明策略
1.7.6 寻找反例
1.7.7 行动证明策略
1.7.8 填充
1.7.9 未解决问题的作用
1.7.1 0其他证明方法
练习
关键术语和结果
复习题
补充练习
计算机题目
计算和研究
写作题目

第2章基本结构：集合、函数、数列与求和
2.1 集合
2.1.1 引言
2.1.2 幂集合
2.1.3 笛卡儿积
2.1.4 使用带量词的集合符号
2.1.5 量词的真值集合
练习
2.2 集合运算
2.2.1 引言
2.2.2 集合恒等式
2.2.3 扩展的并集和交集
2.2.4 计算机表示集合的方式
练习
2.3 函数
2.3.1 引言
2.3.2 一对一函数和映上函数
2.3.3 反函数和函数组合
2.3.4 函数的图像
2.3.5 几个重要的函数
练习
2.4 序列与求和
2.4.1 引言
2.4.2 序列
2.4.3 特殊的整数序列
2.4.4 求和
2.4.5 基数
练习
关键术语和结果
复习题
补充练习
计算机题目
计算和研究
写作题目

第3章计数
3.1 计数基础
3.1.1 引言
3.1.2 基本的计数原则
3.1.3 比较复杂的计数问题
3.1.4 容斥原理
3.1.5 树图
练习
3.2 鸽巢原理
3.2.1 引言
3.2.2 广义鸽巢原理
3.2.3 巧妙使用鸽巢原理
练习
3.3 排列与组合
3.3.1 引言
3.3.2 排列
3.3.3 组合
练习
3.4 二项式系数
3.4.1 二项式定理
3.4.2 帕斯卡恒等式和三角形
……

第4章高级计数技术
第5章关系
第6章图
第7章树
练习题答案

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