pslpsl
2008-08-19, 22:36
matlab的使用教程
统计、绘图、求微积分、解微分方程、解ODE、变换、曲线拟合、特殊函数……
很多的高数方面的应用,还附有习题和答案。
下载地址:http://webdisk.cech.com.cn/download/file_share_13329011.html
内容如下
第一章MATLAB环境.................................. 1
用户界面概述.........................................................................................................2
命令窗口与算法基础...................................................................................................2
赋值运算符...........................................................................................................4
基本数学定义式.......................................................................................................7
复数.................................................................................................................8
修正输入.............................................................................................................9
文件基础.............................................................................................................9
结束MATLAB ..........................................................................................................10
习题.................................................................................................................10
第二章向量与矩阵................................. 11
向量.................................................................................................................12
从已存变量创建大向量.................................................................................................13
创建等差元素向量.....................................................................................................14
特征化向量(Characterizing a Vector) ...............................................................................15
向量的点乘和叉乘(数量积和向量积)...................................................................................18
引用向量元素.........................................................................................................19
矩阵基本操作.........................................................................................................19
矩阵相乘.............................................................................................................21
更多基本操作.........................................................................................................22
特殊类型矩阵.........................................................................................................23
引用矩阵元素.........................................................................................................23
行列式与线性系统求解.................................................................................................24
求矩阵的秩...........................................................................................................25
求逆矩阵与伪逆矩阵...................................................................................................27
简化梯形矩阵.........................................................................................................30
矩阵分解.............................................................................................................32
习题.................................................................................................................33
第三章绘图与图形................................. 34
2D绘图基础...........................................................................................................35
更多2D绘图选项.......................................................................................................38
坐标轴命令...........................................................................................................40
在同一图象中显示多个函数.............................................................................................41
添加图例.............................................................................................................43
设置颜色.............................................................................................................44
设置坐标比例.........................................................................................................45
子图.................................................................................................................48
图象重叠和linspace命令...............................................................................................51
极坐标和对数图象.....................................................................................................53
离散数据绘图.........................................................................................................57
等高线图.............................................................................................................61
三维图象.............................................................................................................66
习题.................................................................................................................70
第四章统计和MATLAB编程介绍....................... 71
创建柱状图...........................................................................................................72
基本统计.............................................................................................................76
编写MATLAB函数.......................................................................................................77
使用for循环编程......................................................................................................80
计算标准偏差和中位数.................................................................................................80
更多编程要点.........................................................................................................84
习题.................................................................................................................87
第五章代数方程求解和其它符号工具................. 88
解基本代数方程.......................................................................................................89
二次方程求解.........................................................................................................90
符号方程绘图.........................................................................................................91
高次方程求解.........................................................................................................96
方程组...............................................................................................................98
方程展开与合并.......................................................................................................99
使用指数和对数函数求解方程...........................................................................................101
函数的级数表示.......................................................................................................103
习题.................................................................................................................105
第六章基本符号演算和微分方程.................... 107
极限计算.............................................................................................................108
导数计算.............................................................................................................113
dsolve命令...........................................................................................................118
常微分方程(ODE)求解..................................................................................................119
方程组和相平面图.....................................................................................................125
习题.................................................................................................................132
第七章ODE的数值解............................... 133
使用ODE23 和ODE45 求解一阶方程.......................................................................................134
二阶方程求解.........................................................................................................140
习题.................................................................................................................147
第八章积分...................................... 148
INT命令..............................................................................................................149
定积分...............................................................................................................151
多重积分.............................................................................................................156
数值积分.............................................................................................................157
正交积分.............................................................................................................161
习题.................................................................................................................162
第九章变换...................................... 163
拉普拉斯变换.........................................................................................................164
拉普拉斯逆变换.......................................................................................................165
微分方程求解.........................................................................................................169
傅立叶变换的计算.....................................................................................................172
傅立叶逆变换.........................................................................................................175
快速傅立叶变换.......................................................................................................175
习题.................................................................................................................178
第十章曲线拟合.................................. 180
线性函数拟合.........................................................................................................181
指数函数的拟合.......................................................................................................191
习题.................................................................................................................191
统计、绘图、求微积分、解微分方程、解ODE、变换、曲线拟合、特殊函数……
很多的高数方面的应用,还附有习题和答案。
下载地址:http://webdisk.cech.com.cn/download/file_share_13329011.html
内容如下
第一章MATLAB环境.................................. 1
用户界面概述.........................................................................................................2
命令窗口与算法基础...................................................................................................2
赋值运算符...........................................................................................................4
基本数学定义式.......................................................................................................7
复数.................................................................................................................8
修正输入.............................................................................................................9
文件基础.............................................................................................................9
结束MATLAB ..........................................................................................................10
习题.................................................................................................................10
第二章向量与矩阵................................. 11
向量.................................................................................................................12
从已存变量创建大向量.................................................................................................13
创建等差元素向量.....................................................................................................14
特征化向量(Characterizing a Vector) ...............................................................................15
向量的点乘和叉乘(数量积和向量积)...................................................................................18
引用向量元素.........................................................................................................19
矩阵基本操作.........................................................................................................19
矩阵相乘.............................................................................................................21
更多基本操作.........................................................................................................22
特殊类型矩阵.........................................................................................................23
引用矩阵元素.........................................................................................................23
行列式与线性系统求解.................................................................................................24
求矩阵的秩...........................................................................................................25
求逆矩阵与伪逆矩阵...................................................................................................27
简化梯形矩阵.........................................................................................................30
矩阵分解.............................................................................................................32
习题.................................................................................................................33
第三章绘图与图形................................. 34
2D绘图基础...........................................................................................................35
更多2D绘图选项.......................................................................................................38
坐标轴命令...........................................................................................................40
在同一图象中显示多个函数.............................................................................................41
添加图例.............................................................................................................43
设置颜色.............................................................................................................44
设置坐标比例.........................................................................................................45
子图.................................................................................................................48
图象重叠和linspace命令...............................................................................................51
极坐标和对数图象.....................................................................................................53
离散数据绘图.........................................................................................................57
等高线图.............................................................................................................61
三维图象.............................................................................................................66
习题.................................................................................................................70
第四章统计和MATLAB编程介绍....................... 71
创建柱状图...........................................................................................................72
基本统计.............................................................................................................76
编写MATLAB函数.......................................................................................................77
使用for循环编程......................................................................................................80
计算标准偏差和中位数.................................................................................................80
更多编程要点.........................................................................................................84
习题.................................................................................................................87
第五章代数方程求解和其它符号工具................. 88
解基本代数方程.......................................................................................................89
二次方程求解.........................................................................................................90
符号方程绘图.........................................................................................................91
高次方程求解.........................................................................................................96
方程组...............................................................................................................98
方程展开与合并.......................................................................................................99
使用指数和对数函数求解方程...........................................................................................101
函数的级数表示.......................................................................................................103
习题.................................................................................................................105
第六章基本符号演算和微分方程.................... 107
极限计算.............................................................................................................108
导数计算.............................................................................................................113
dsolve命令...........................................................................................................118
常微分方程(ODE)求解..................................................................................................119
方程组和相平面图.....................................................................................................125
习题.................................................................................................................132
第七章ODE的数值解............................... 133
使用ODE23 和ODE45 求解一阶方程.......................................................................................134
二阶方程求解.........................................................................................................140
习题.................................................................................................................147
第八章积分...................................... 148
INT命令..............................................................................................................149
定积分...............................................................................................................151
多重积分.............................................................................................................156
数值积分.............................................................................................................157
正交积分.............................................................................................................161
习题.................................................................................................................162
第九章变换...................................... 163
拉普拉斯变换.........................................................................................................164
拉普拉斯逆变换.......................................................................................................165
微分方程求解.........................................................................................................169
傅立叶变换的计算.....................................................................................................172
傅立叶逆变换.........................................................................................................175
快速傅立叶变换.......................................................................................................175
习题.................................................................................................................178
第十章曲线拟合.................................. 180
线性函数拟合.........................................................................................................181
指数函数的拟合.......................................................................................................191
习题.................................................................................................................191