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MATLABR2013a工程分析与仿真

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MATLABR2013a工程分析与仿真

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《MATLABR2013a工程分析与仿真》以MATLAB R2013a为平台,从应用角度出发,通过大量的算法实现,由浅入深全面详尽地介绍MATLAB在工程分析与仿真中的应用。同时,配备了详细的实例,使读者容易快捷地掌握MATLAB。
全书共10章,主要介绍MATLAB的入门基础知识、MATLAB矩阵分析、MATLAB绘图与界面、Simulink仿真技术、数据的插值与拟合、函数分析、微积分分析、数值计算和优化设计等内容,让读者快速了解MATLAB软件及掌握MATLAB在工程分析中的应用。第10章介绍MATLAB工程应用与仿真,让读者利用MATLAB解决实际工程问题。
《MATLABR2013a工程分析与仿真》内容丰富、通俗易懂、实例典型、实用性强,适用于工程分析及仿真的应用。本书可以作为广大在校本科生和研究生的学习用书,也可以作为广大科研人员、学者和工程技术人员的参考用书。
Catalogue

第1章MATLAB入门概述
1.1MATLAB简介
1.1.1什么是MATLAB
1.1.2MATLAB的发展史
1.1.3MATLAB语言特点
1.1.4MATLAB的优势
1.1.5MATLAB R2013a的新特性
1.2MATLAB R2013a的安装与激活
1.3MATLAB联机帮助
1.4变量与常量
1.4.1变量
1.4.2常量
1.5MATLAB编程基础
1.5.1表达式和运算符
1.5.2复数
1.5.3注释与标点
1.5.4字符串
1.5.5向量
1.6矩阵
1.6.1矩阵的创建
1.6.2矩阵的基本运算
1.7数据的输入与输出
1.8程序结构
1.8.1顺序结构语句
1.8.2分支语句
1.8.3循环结构语句
1.9M文件
1.9.1M文件结构
1.9.2脚本文件
1.10综合实例
第2章MATLAB矩阵分析
2.1矩阵的特殊计算
2.1.1矩阵的行列式
2.1.2矩阵的逆和伪逆
2.1.3矩阵的秩
2.1.4矩阵的迹
2.1.5标准正交基
2.1.6化零矩阵
2.1.7矩阵范数
2.1.8矩阵条件数
2.1.9特征值与特征向量
2.1.10Jordan标准型
2.2矩阵分解
2.2.1Cholesky分解
2.2.2LU分解
2.2.3QR分解
2.2.4Schur分解
2.2.5SVD分解
2.2.6Hessenberg分解
2.3线性方程组求解
2.3.1线性方程组基础
2.3.2用除法求解线性方程组
2.3.3逆(伪逆)求解线性方程组
2.3.4行阶梯形求解线性方程组
2.3.5矩阵分解法求解线性方程组
第3章MATLAB绘图与界面
3.1数据可视化
3.1.1离散情况
3.1.2连续情况
3.2二维绘图
3.2.1常用二维绘图
3.2.2函数绘图
3.2.3特殊二维绘图
3.3三维绘图
3.3.1常用三维绘图
3.3.2特殊三维绘图
3.4图形对象
3.4.1创建图形对象
3.4.2设置对象的属性
3.4.3获取对象属性
3.4.4对象的基本操作
3.5用户接口对象
3.5.1uicontrol对象
3.5.2uimenu对象
3.5.3uicontextmenu对象
3.5.4uitoolbar对象
3.5.5uibuttongroup对象
3.5.6uipanel对象
3.5.7uitable对象
3.6常用界面
3.6.1输入界面
3.6.2消息界面
3.6.3帮助界面
3.6.4警告界面
3.6.5错误界面
3.6.6问题界面
3.6.7列表界面
3.6.8进度条界面
3.6.9文件打开界面
3.6.10文件保存界面
3.6.11路径选择界面
3.6.12颜色设置界面
3.6.13字体设置界面
3.7GUIDE设计工具
3.7.1GUIDE界面启动
3.7.2对象编辑器
3.7.3对象位置调整编辑器
3.7.4菜单编辑器
3.7.5Tab顺序编辑器
3.7.6工具编辑器
3.7.7Mfile编辑器
3.7.8属性编辑器
3.7.9对象浏览器
3.8GUI应用实例
第4章Simulink仿真技术
4.1Simulink概述
4.1.1Simulink的功能
4.1.2Simulink的特点
4.1.3Simulink的启动
4.2一个简单的仿真系统
4.3常用的模块库
4.3.1常用模块
4.3.2连续模块
4.3.3非连续模块
4.3.4离散模块
4.3.5逻辑与位操作模块
4.3.6查找表模块
4.3.7数学模块
4.3.8模型检测模块
4.3.9模型扩充模块
4.3.10端口与子系统模块
4.3.11信号属性模块
4.3.12信号路线模块
4.3.13接收器模块
4.3.14输入源模块
4.3.15用户自定义函数模块
4.4Simulink系统建模
4.4.1线性系统建模
4.4.2二阶微分方程
4.4.3状态方程
4.4.4非线性建模
4.5子系统
4.5.1子系统介绍
4.5.2子系统实例
4.5.3子系统封装
4.6S函数
4.6.1S函数概述
4.6.2S函数工作原理
4.6.3S函数的模板
4.6.4S函数实例分析
第5章MATLAB数据的插值与拟合
5.1MATLAB自带函数实现插值
5.1.1一维插值
5.1.2二维插值
5.1.3三维插值
5.1.4n维插值
5.1.5样条插值
5.2MATLAB自定义函数实现插值
5.2.1拉格朗日插值
5.2.2牛顿插值
5.3曲线拟合
5.3.1多项式拟合
5.3.2指数函数拟合
5.3.3最小二乘拟合
5.3.4线性最小二乘曲线拟合
5.3.5非线性最小二乘曲线拟合
5.3.6加权最小方差拟合
5.4曲线拟合图形界面
5.4.1曲线拟合
5.4.2拟合残差图
5.4.3数据预测
第6章MATLAB函数分析
6.1函数零极点
6.1.1一元函数的零点
6.1.2多元函数的零点
6.1.3函数的极点
6.2函数的极限
6.2.1极限的定义
6.2.2极限函数
6.3数理统计
6.3.1最大(小)值
6.3.2平均值与中值
6.3.3求和(积)
6.3.4累积和累和
6.3.5方差与标准差
6.3.6几何均值
6.3.7极差
6.3.8协方差与相关系数
6.3.9排序
6.3.10分位数
6.3.11偏斜度与峰度
6.4傅里叶变换
6.4.1快速傅里叶变换及逆变换
6.4.2相位与幅度
6.4.3DFT变换
6.4.4傅里叶变换应用实例
第7章MATLAB微积分分析
7.1导数与微分
7.1.1导数
7.1.2积分
7.2级数求和
7.2.1有限项级数和
7.2.2泰勒展开
7.2.3傅里叶展开
7.3积分变换
7.3.1傅里叶积分变换
7.3.2拉普拉斯积分变换
7.3.3Z积分变换
7.4多元函数分析
7.4.1多元函数的偏导
7.4.2多元函数的梯度
7.5多重积分
7.5.1用梯形求面积
7.5.2用矩阵求面积
7.5.3单变量数值积分
7.5.4Lobatto积分
7.5.5GaussKronrod积分
7.5.6二重积分
7.5.7三重积分
7.6微分方程
7.6.1符号微分方程
7.6.2数值微分方程
7.7常微分方程仿真
7.8偏微分方程
7.8.1区域设置及网格化
7.8.2设置边界条件
7.8.3解椭圆形方程
7.8.4解抛物线方程
7.8.5双曲线方程
7.8.6特征值方程
7.8.7非线性椭圆方程
7.9有限元分析
7.9.1创建网格
7.9.2协调元
7.9.3非协调元
第8章MATLAB数值计算
8.1随机数
8.1.1几何分布随机数
8.1.2Beta分布随机数
8.1.3正态分布随机数
8.1.4二项分布随机数
8.1.5卡方分布随机数
8.1.6指数分布随机数
8.1.7F分布随机数
8.1.8Γ分布随机数
8.1.9超几何分布随机数
8.1.10对数正态分布随机数
8.1.11泊松分布随机数
8.1.12连续均匀随机数
8.2统计图
8.2.1盒形图
8.2.2正态分布图
8.2.3QQ图
8.2.4分组散点图
8.2.5残差图
8.2.6指数加权滑动平均图
8.3回归分析
8.3.1一元线性回归分析
8.3.2多元线性回归分析
8.3.3非线性回归分析
8.4方差分析
8.4.1单因素方差分析
8.4.2双因素方差分析
8.4.3多因素方差分析
8.5假设检验
8.5.1单个正态总体的假设检验
8.5.2两个正态总体的假设检验
8.6聚类分析
8.7主成分分析
8.8因子分析
第9章MATLAB优化设计
9.1线性规划
9.1.1线性规划问题的标准型
9.1.2MATLAB实现线性规划
9.2非线性规划
9.2.1非线性规划数学模型
9.2.2MATLAB实现非线性规划
9.3二次规划
9.3.1二次规划数学模型
9.3.2MATLAB实现二次规划
9.4多目标规划
9.4.1多目标规划数学模型及MATLAB实现
9.4.2线性目标规划
9.5半无限约束优化
9.601规划
第10章MATLAB工程应用与仿真
10.1MATLAB分析混沌现象
10.2MATLAB分析数学建模
10.3MATLAB分析力学
10.4MATLAB分析物理学
10.5MATLAB分析数值模型
10.6MATLAB分析化学反应
10.7MATLAB分析农业问题
10.8MATLAB分析导弹系统
10.9MATLAB分析社会科学
参考文献
......

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