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Jingdong book

MATLAB数学建模与仿真

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MATLAB数学建模与仿真

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王健、赵国生编著的《MATLAB数学建模与仿真》从数学建模与仿真的角度对MATLAB进行详细介绍和讲解。全书共2篇,即基础篇和应用篇,涵盖大部分数学建模问题的MATLAB求解方法。前10章为基础篇,讲解有关MATLAB的基础知识,包括MATLAB的入门、数值运算、符号运算和图形功能、M文件编程、Simulink仿真模型和科学计算等内容,在此基础上介绍应用数学领域的问题求解,如基于MATLAB的微积分问题、线性代数、积分变换、常微分方程、概率论与数理统计问题的数值解法等。第11章至第15章为应用篇,介绍如何利用MATLAB求解实际的数学建模问题,给出了蚂蚁算法、模拟退火算法、神经元网络、图论算法和遗传算法等详细的算法原理、问题描述、数学模型建立与求解、模型验证和仿真代码的全部建模过程。
本书适合作为各大中专院校理工科学生的专业教材,也可作为广大科研人员、学者、工程技术人员及MATLAB专业人员的参考用书。
Catalogue

第1章 概述
1.1 MATLAB简介
1.2 MATLAB的安装
1.3 MATLAB的目录结构
1.4 MATLAB的应用窗口
1.4.1 主界面介绍
1.4.2 组件窗口
1.5 MATLAB的通用命令
1.6 MATLAB的帮助系统
1.6.1 命令行窗口查询帮助
1.6.2 MATLAB联机帮助系统
1.7 本章小结
1.8 习题
第2章 数值运算
2.1 数据类型
2.1.1 字符串
2.1.2 数值
2.1.3 函数句柄
2.1.4 逻辑类型和关系运算
2.1.5 结构类型
2.1.6 元胞数组类型
2.2 数组及操作
2.2.1 创建数组
2.2.2 数组操作
2.3 矩阵及操作
2.3.1 创建矩阵
2.3.2 矩阵的运算
2.3.3 矩阵的分析
2.3.4 稀疏矩阵
2.4 多项式运算
2.4.1 创建多项式
2.4.2 计算多项式
2.5 本章小结
2.6 习题
第3章 符号运算
3.1 符号运算基础
3.1.1 创建符号对象
3.1.2 创建表达式
3.1.3 基本操作
3.1.4 相关运算符
3.1.5 确定自变量
3.2 表达式运算
3.2.1 提取分子和分母
3.2.2 数值转换
3.2.3 变量替换
3.2.4 化简与格式化
3.2.5 表达式的相互转换
3.2.6 反函数
3.2.7 替换函数
3.3 运算精度
3.4 符号矩阵运算
3.4.1 基本代数运算
3.4.2 线性代数运算
3.4.3 科学计算
3.5 积分及其变换
3.5.1 傅里叶变换及其反变换
3.5.2 拉普拉斯变换及其反变换
3.5.3 Z变换及其反变换
3.6 绘制符号函数图形
3.6.1 绘制曲线
3.6.2 绘制等值线
3.6.3 绘制曲面图及表面图
3.7 本章小结
3.8 习题
第4章 图形图像
4.1 二维绘图
4.1.1 line函数
4.1.2 semilogx和semilogy函数
4.1.3 logspace函数
4.1.4 plot函数
4.1.5 plotyy函数
4.1.6 axis函数
4.1.7 subplot函数
4.1.8 其他特殊函数
4.2 三维绘图
4.2.1 mesh函数
……
第5章 M文件
第6章 Simulink仿真模型
第7章 科学计算
第8章 MATLAB在高等数学中的应用
第9章 MATLAB在线性代数中的应用
第10章 MATLAB在数理统计中的应用
第11章 蚁群算法的仿真与实现
第12章 模拟退火算法的仿真与实现
第13章 神经元网络及MATLAB仿真
第14章 图论算法及MATLAB仿真
第15章 遗传算法的仿真与实现
参考文献

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