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Jingdong book

MATLAB数值计算

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Books Computers & Internet Auxiliary Design and Engineering Calculation

Jingdong book

MATLAB数值计算

Name: MATLAB数值计算
Brand: Jingdong book
SKU: 3118067661
Price: 20.20 USD
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《MATLAB数值计算》适合作为高年级本科生或研究生的教材，也可供相关科研人员参考。

Content Description

《MATLAB数值计算》是关于数值方法、MATLAB软件和工程计算的教材，着重介绍数学软件的熟练使用及其内在的高效率算法。主要内容包括：MATLAB介绍、线性方程组、插值、方程求根、最小二乘法、数值积分、常微分方程、傅里叶分析、随机数、特征值与奇异值、偏微分方程。《MATLAB数值计算》配备大量MATLAB例子源代码及习题，其中涉及密码学、Google网页分级、大气科学和图像处理等前沿问题，可以帮助读者快速掌握数学函数的正确使用及MATLAB编程技巧。

Author Description

Cleve B.Moler 是The MathWorks公司的主席和首席科学家。曾任密歇根大学、斯坦福大学和新墨西哥大学的数学系或计算机系教授。他在两个计算机硬件制造商Intel公司的Hypercube组织Ardent Computers公司工作了五年。他的主要专业兴趣在于数值分析和科学计算。他是MATLAB软件的创始者，也是著名的矩阵计算软件包LINPACK和EISPACK的作者之一，已撰写了三本有关数值方法的教材。同时，他在SIAM（美国工业与应用数学学会）历任期刊编辑、委员会成员和副总裁，并从1996年开始担任理事会成员。

Catalogue

出版者的话
专家指导委员会
译者序
前言
第1章 MATLAB介绍
1．1 黄金分割比
1．2 斐波那契数
1．3 分形蕨
1．4 幻方
1．5 密码系统
1．6 3n+1序列
1．7 浮点算术
1．8 更多阅读资料
习题
第2章线性方程组
2．1 求解线性方程组
2．2 MATLAB反斜线符号算符
2．3 一个3×3例子
2．4 排列和三角形矩阵
2．5 LU分解
2．6 为什么必须选主元
2．7 lutx，bslashtx，lugui
2．8 舍入误差的影响
2．9 范数和条件数
2．10 稀疏矩阵和带状矩阵
2．11 PageRank和马尔可夫链
2．12 更多阅读资料
习题
第3章插值
3．1 插值多项式
3．2 分段线性插值
3．3 分段三次埃米特插值
3．4 保形分段三次插值
3．5 三次样条
3．6 pchiptx，splinetx
3．7 interpgui
习题
第4章方程求根
4．1 二分法
4．2 牛顿法
4．3 一个不正常的例子
4．4 割线法
4．5 逆二次插值
4．6 Zeroin算法
4．7 fzerotx，feral
4．8 fzerogui
4．9 寻找函数为某个值的解和反向插值
4．10 最优化和fmintx
习题
第5章最小二乘法
5．1 模型和曲线拟合
5．2 范数
5．3 censusgui
5．4 Householder反射
5．5 QR分解
5．6 伪逆
5．7 不满秩
5．8 可分离最小二乘法
5．9 更多阅读资料
习题
第6章数值积分
6．1 自适应数值积分
6．2 基本的数值积分公式
6．3 quadtxquadgui
6．4 指定被积函数
6．5 性能
6．6 积分离散数据
6．7 更多阅读资料
习题
第7章常微分方程
7．1 微分方程求积
7．2 方程体系
7．3 线性化的微分方程
7．4 单步法
7．5 BS23算法
7．6 ode23tx
7．7 实例
7．8 洛伦茨吸引子
7．9 刚性
7．10 事件
7．11 多步法
7．12 MATLABODE求解程序
7．13 误差
7．14 性能
7．15 更多阅读资料
习题
第8章傅里叶分析
8．1 按键式拨号盘
8．2 离散傅里叶变换
8．3 fftgui
8．4 太阳黑子
8．5 周期时间序列
8．6 快速离散傅里叶变换
8．7 ffttx
8．8 傅里叶矩阵
8．9 其他傅里叶变换和级数
8．10 更多阅读资料
习题
第9章随机数
9．1 伪随机数
9．2 均匀分布
9．3 正态分布
9．4 randtx，randntx
习题
第10章特征值与奇异值
10．1 特征值与奇异值分解
10．2 一个简单例子
10．3 eigshow
10．4 特征多项式
10．5 对称矩阵和厄密特矩阵
10．6 特征值的敏感度和精度
10．7 奇异值的敏感度和精度
10．8 约当型和舒尔型
10．9 QR算法
10．10 eigsvdgui
10．11 主分量
10．12 圆生成器
10．13 更多阅读
习题
第11章偏微分方程
11．1 模型问题
11．2 有限差分法
11．3 矩阵表示
11．4 数值稳定性
11．5 L形区域
习题
参考文献
索引

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