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Jingdong book

MATLAB基础及数学软件

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Jingdong book

MATLAB基础及数学软件

Name: MATLAB基础及数学软件
Brand: Jingdong book
SKU: 3118206921
Price: 25.42 USD
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Content Description

《MATLAB基础及数学软件》主要介绍MATLAB中的数学软件。全书共分10章，内容包括MATLAB基础知识，符号运算，矩阵与线性代数计算，图形绘制，函数、导数与定积分等的数值计算，常微分方程的数值解，插值与拟合，概率和数理统计，数学规划求解，程序与编程。
《MATLAB基础及数学软件》主要适读于MATLAB编程初学者。

Catalogue

第1章MATLAB基础知识
1.1 MATLAB系统的简单操作
1.1.1 进入系统
1.1.2 退出系统
1.1.3 初识M文件
1.2 MATLAB的图形窗口
1.3 MATLAB的帮助系统
1.4 MATLAB的路径查找
1.5 运算符与操作符
1.5.1 算术运算符
1.5.2 关系运算符
1.5.3 逻辑运算符
1.5.4 标点及操作符
1.6 常量与变量
1.6.1 常量
1.6.2 变量
1.7 数值与数组
1.7.1 数值
1.7.2 数组
1.8 字符数组（即字符串）
1.8.1 字符串的连接
1.8.2 字符串的替换
1.8.3 字符串的求值
1.8.4 数值与字符串之间的转换
1.9 函数与表达式
1.9.1 数学函数
1.9.2 系统运算与操作函数
1.9.3 表达式
1.10 函数文件与文本文件
1.10.1 函数文件（简称函数）
1.10.2 文本文件（又称脚本文件或命令式文件）
1.10.3 子函数
习题一

第2章符号运算
2.1 符号对象的生成
2.1.1 符号变量的生成
2.1.2 符号表达式的生成
2.2 符号形式与数值形式之间的转换
2.2.1 将符号形式转换为数值形式
2.2.2 将数值形式转换为符号形式
2.3 符号表达式的变换与化简
2.4 复合函数与反函数的运算
2.4.1 复合函数
2.4.2 反函数
2.5 函数的极限、导数与积分
2.5.1 函数的极限
2.5.2 符号求导
2.5.3 不定积分
2.5.4 定积分
2.6 符号求和与Tavlor展开
2.6.1 符号求和
2.6.2 Tavlor展开
2.7 方程求根（精确根）
2.8 常微分方程的符号解
习题二

第3章矩阵与线性代数计算
3.1 矩阵的定义
3.2 矩阵的生成
3.2.1 生成的规则
3.2.2 生成的方式
3.3 矩阵的取块
3.4 矩阵的运算
3.4.1 矩阵的行列式与转置阵
3.4.2 矩阵的加、减、乘与乘方运算
3.4.3 矩阵的求逆与除法运算
3.4.4 矩阵的秩与奇异值
3.4.5 矩阵的范数与条件数
3.5 矩阵的特征值与特征向量
3.6 矩阵的分解与广义逆阵
3.6.1 广义逆阵
3.6.2 LU分解
3.6.3 Clloleskv分解
3.6.4 QR分解
3.6.5 奇异值分解
3.6.6 Schur分解
3.7 线性方程组求解
习题三

第4章图形绘制
4.1 曲线与曲面的表示法
4.1.1 平面曲线表示法
4.1.2 空间曲线表示法
4.1.3 曲面表示法
4.2 曲线绘制法
4.2.1 plot函数
4.2.2 ezplot函数
4.2.3 polar函数
4.2.4 plot3函数
4.3 对曲线的进一步处理
4.3.1 平面曲线的标注
4.3.2 坐标轴与边框的控制
4.3.3 窗口的分割
4.4 曲面绘制法
4.4.1 曲面绘制函数
4.4.2 曲面的放大、缩小、旋转与打印
4.4.3 等高线的绘制法
4.4.4 等高线及其标注
4.4.5 曲面的颜色与光照
习题四

第5章函数、导数与定积分等的数值计算
5.1 函数值的计算
5.2 多项式的计算
5.3 导数的数值计算
5.4 定积分的数值计算
5.5 二重积分的数值计算
5.6 非线性方程（组）的数值解
5.7 级数的数值和
习题五

第6章常微分方程的数值解
6.1 将高阶方程转化为一阶方程组
6.2 建立相应的函数文件
6.3 调用求解函数
6.4 应用举例
习题六

第7章插值与拟合
7.1 一元插值
7.2 一元拟合
7.3 二元有序点上的插值
7.4 二元散乱点上的插值
习题七

第8章概率和数理统计
8.1 概率分布函数及其密度函数
8.1.1 随机变量的概率密度函数
8.1.2 应用举例
8.1.3 随机变量的分布函数及分位数函数
8.1.4 应用举例
8.1.5 随机数发生函数
8.2 随机变量的数字特征及其样本数字特征
8.2.1 随机变量的数学期望、方差、协方差及相关系数
8.2.2 样本的数字特征（表8.4 ）
8.3 参数估计
8.4 假设检验
8.4.1 参数假设检验
8.4.2 非参数假设检验
8.4.3 分布拟合检验
8.5 线性模型
8.5.1 方差分析
8.5.2 线性回归分析
8.5.3 非线性回归
习题八

第9章数学规划求解
9.1 数学规划概念简介
9.2 线性规划
9.2.1 线性规划的基本模型
9.2.2 调用格式
9.2.3 应用举例
9.3 二次规划
9.3.1 基本模型
9.3.2 调用格式
9.3.3 应用举例
9.4 无约束非线性规划
9.4.1 基本模型
9.4.2 调用格式
9.4.3 应用举例
9.5 有约束非线性规划
9.5.1 基本模型
9.5.2 调用格式
9.5.3 应用举例
9.6 极小极大化问题
9.6.1 基本模型
9.6.2 调用格式
9.7 多目标规划
9.7.1 基本模型
9.7.2 主要方法
习题九

第10章程序与编程
10.1 指定次数重复循环语句
10.2 不定次数重复循环语句
10.3 条件转移语句
10.4 开关切换语句
10.5 其他语句
10.6 综合举例
习题十

附录
附录1 常用符号与常数
附录2 常用数学函数
附录3 常用系统操作与运算函数
参考文献

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