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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 NT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

MATLAB揭秘.pdf

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