Spring 2003 Lagrange's equations Joseph-Louis lagrange 1736-1813 http://www-groups.dcs.st-and.ac.uk/-history/mathematicians/lagranGe.html Born in Italy. later lived in berlin and paris Originally studied to be a lawyer Interest in math from reading halleys 1693 work on

MATLAB是 MATrix LABoratory(“矩阵实验室”)的缩写,是由美国 Math Works 公司开发的集数值计算、符号计算和图形可视化三大基本功能于一体的,功能强大 操作简单的语言。是国际公认的优秀数学应用软件之 20世纪80年代初期, Cleve Moler与 John Little等利用C语言开发了新一代的 MATLA B语言,此时的 MATLAB语言已同时具备了数值计算功能和简单的图形处理 功能

not repeated in the same additive term where the index appears. Free means that the index represents all the values in its range Latin indices will range from 1 to, (i,j, k

6.10 Object类 6.2包装类 6.3Math类 6.4 System类 6.5 String类 6.6 stringBufferstringBuilder和类 6.7习题

For contact information about worldwide offices, see the MathWorks Web site. MAT-File Formo COPYRIGHT 1984-1999 by The Math Works, Inc. The software described in this docu nder a license agreement. The software may be used or copied only under the No part of this manual may be photocopied or repro- duced in any form without pri

所谓符号计算是指在运算时无须事先对变 量赋值,而将所得到结果以标准的符号形式 来表示。 Math WorksMaple公司以的内核作为符号计 算引擎(Engine),依赖 Maple已有的函数 库,开发了实现符号计算的两个工具箱: 基本符号工具箱和扩展符号工具箱

bisection 我们知道√2在1和2之间,先试x=3/2,因为x的平 方大于2,那么√2在[1.32

我们每天都在使用 Fourier变换,比如移动电话,CD,DVD,jPEG

Finete Difference Methods 五点离散 A,(x, u(x+h, y)-2u(x, y)+u(x-h,y) h (x, y+h)-2u(x, y)+u(x,y-h)

微分方程:d(f(ty)y(to)=y 数值解:yn≈y(tn),n=0, 步长: n n+1'n 自动确定 rtth 积分方程:y(t+h)=y(t)+f(s,y(s))ds rt+h 特殊情况:y(t+h)=y(t)+f(s)ds