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Matlab与数学实验(第3版)

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《Matlab与数学实验(第3版)》由于学习门槛低,并以一种教师容易组织教学和学生容易自学的方式介绍Matlab数学软件的使用和数学实验知识,受到全国很多学校教师和读者的喜爱《Matlab与数学实验(第3版)》适合作为本科和大专院校教授Matlab数学软件和数学实验的教材,也可以作为微积分、线性代数等数学基础课的辅助用书.更可以作为参加数学建模竞赛的工具书。
Content Description

《Matlab与数学实验(第3版)》第1版和第2版以其教师易教、学生易学受到了广大读者的欢迎,累计出版发行数万册。
《Matlab与数学实验(第3版)》是第3版,着重介绍数学软件Matlab的主要命令和相关内容,读者在学习了本书之后,能很快掌握Matlab数学软件的主要功能,并能用Matlab数学软件去解决实际中遇到的问题。
此外,本书加入了与高等数学、线性代数、计算方法等课程有关的数学实验内容,使Matlab能很方便地融人到高等数学、线性代数或计算方法课程的教学中。
《Matlab与数学实验(第3版)》编排采用便于自学的方式,读者可以根据自己想处理的数学问题快速找到相应的Matlab命令。全书层次清晰,注意实用,突出Matlab主要命令和功能,并附有大量的例题和解释,弱化Matlab命令和概念的枯燥和繁琐性,可以使数学软件的学习变得更简单,读者只要具有简单的计算机操作技能即能学懂本书。
《Matlab与数学实验(第3版)》适合作为高校各专业本科生、专科生、研究生及工程技术人员学习Matlab数学软件或数学实验课的教材或参考书。
Catalogue

第1章 Matlab基础知识
1.1 Matlab概述
1.1.1 Matlab简介
1.1.2 Matlab的启动与退出
1.1.3 Matlab操作的注意事项
1.2 Matlab的具体操作与操作键
1.2.1 菜单操作
1.2.2 常用命令
1.2.3 常用操作键
1.3 Matlab的变量与表达式
1.3.1 Matlab的变量
1.3.2 Matlab的运算符
1.3.3 Matlab的表达式
1.3.4 Matlab的数据显示格式
1.3.5 Matlab中的专用符号
1.4 Matlab中的常用函数
1.5 Matlab的基本对象
1.5.1 矩阵
1.5.2 数组
1.5.3 字符串
1.6 M文件与M函数
1.6.1 命令文件
1.6.2 函数文件
1.7 程序结构
1.7.1 顺序结构
1.7.2 循环结构
1.7.3 分支结构
数学实验

第2章 符号计算
2.1 符号变量的创建
2.2 符号表达式的创建
2.3 符号方程的创建
2.4 符号矩阵的创建
2.5 数值变量、符号变量、字符变量的相互转化
2.6 调用Maple的符号计算能力
2.7 图形化的符号函数计算器
数学实验

第3章 Matlab绘图
3.1 Matlab二维曲线绘图
3.1.1 基本绘图指令plot
3.1.2 基本绘图控制参数
3.1.3 线型、定点标记、颜色
3.1.4 图形的标注
3.1.5 一个图形窗口多个子图的绘制
3.1.6 绘制数值函数二维曲线的指令fplot
3.1.7 绘制符号函数二维曲线的指令ezplot
3.2 Matlab二维特殊图形
3.3 Matlab空间曲线绘图
3.3.1 三维空间曲线命令plot
3.3.2 坐标轴的控制
3.4 Matlab空间曲面绘图
3.4.1 meshgrid命令
3.4.2 三维网格图命令mesh
3.4.3 三维表面图命令surf
3.4.4 球面与柱面的表达
3.4.5 色彩控制
数学实验

第4章 初等代数运算
4.1 多项式的表达与运算
4.1.1 多项式的表达
4.1.2 多项式的运算
4.2 有理多项式的运算
4.3 代数式的符号运算
4.4 方程求根
4.4.1 求多项式方程的根
4.4.2 求超越方程的根
数学实验

第5章 高等数学运算
5.1 求极限运算
5.2 求导数与微分
5.2.1 一元函数的导数与微分
5.2.2 参数方程求导
5.2.3 多元函数求导
5.2.4 求梯度与方向导数
5.2.5 隐函数求导
5.3 求不定积分
5.4 求定积分
5.4.1 定积分的符号解法
5.4.2 用数值方法计算定积分
5.4.3 广义积分
5.4.4 计算二重积分
5.5 函数展开成幂级数
5.6 求和、求积、级数求和
5.6.1 求和
5.6.2 求积
5.6.3 级数求和
5.7 求函数的零点
5.8 I之函数的极值点
5.9 常微分方程的求解
5.9.1 常微分方程的符号解法
5.9.2 常微分方程的数值解法
数学实验

第6章 线性代数运算
6.1 矩阵的运算
6.1.1 数学概念
6.1.2 矩阵的基本运算
6.2 解线性方程组
6.2.1 求逆法
6.2.2 左除与右除法
6.2.3 初等变换法
6.2.4 符号方程组求解
6.3 求矩阵特征值和特征向量
6.3.1 求矩阵特征值、特征向量命令
6.3.2 矩阵的对角化
数学实验

第7章 数据的输入与处理
7.1 数据的输入
7.2 数据的统计分析
7.3 曲线的拟合
7.3.1 多项式拟合
7.3.2 非线性最小二乘拟合
7.4 函数插值
7.4.1 一维插值
7.4.2 二维插值
7.5 回归分析
7.5.1 线性回归
7.5.2 多项式回归
数学实验

第8章 概率统计运算
8.1 随机试验
8.2 概率分布与概率密度函数
8.2.1 数学概念
8.2.2 重要的概率分布
8.3 假设检验
8.3.1 数学概念
8.3.2 相关的Matlab命令
数学实验

第9章 求解线性规划问题
9.1 求解线性规划
9.2 求解0-1整数规划
数学实验

附录
附录A 常用的Matlab命令
附录B M文件的建立及使用方法
附录C 怎样做数学实验及写实验报告

参考文献

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