1 1 Mathematica Maple 1 2 SAS Spss

内 容 § 1. 1 符号运算软件 Mathematica, Maple § 1. 2 统计处理软件 SAS, Spss, Origin § 1. 4 数学CAD软件 Math. CAD § 1. 5 矩阵处理软件 Matlab 2

Mathematica 图：Mathematica应用 5

Matlab 2、MATLAB中与数学相关的常用的 具箱 在命令区(Command Window)键入help命令, 可查看 具箱； matlabelmat - Elementary matrices and matrix manipulation. matlabelfun - Elementary math functions. matlabspecfun - Specialized math functions. matlabmatfun - Matrix functions - numerical linear algebra. matlabdatafun - Data analysis and Fourier transforms. matlabpolyfun - Interpolation and polynomials. matlabfunfun - Function functions and ODE solvers. matlabgraph 2 d - Two dimensional graphs. matlabgraph 3 d - Three dimensional graphs. matlabspecgraph - Specialized graphs. 23

Matlab MATLAB中与数学相关的 具箱（续） nnetnnet - Neural Network Toolbox. nnetnndemos - Neural Network Demonstrations. toolboxoptim - Optimization Toolbox. toolboxpde - Partial Differential Equation Toolbox. toolboxsplines - Spline Toolbox. toolboxstats - Statistics Toolbox. toolboxsymbolic - Symbolic Math Toolbox. waveletwavelet - Wavelet Toolbox. 24

MATLAB中基本数学函数（续） Matlab Trigonometric. sin - Sine. sinh - Hyperbolic sine. asin - Inverse sine. asinh - Inverse hyperbolic sine. cos - Cosine. cosh - Hyperbolic cosine. acos - Inverse cosine. acosh - Inverse hyperbolic cosine. tan - Tangent. tanh - Hyperbolic tangent. atan - Inverse tangent. atan 2 - Four quadrant inverse tangent. atanh - Inverse hyperbolic tangent. sec - Secant. - Inverse secant. sech - Hyperbolic secant. asech - Inverse hyperbolic secant. csc - Cosecant. csch - Hyperbolic cosecant. acsc - Inverse cosecant. acsch - Inverse hyperbolic cosecant. coth - Hyperbolic cotangent. acoth - Inverse hyperbolic cotangent. acot - Cotangent. - Inverse cotangent. 25

Matlab MATLAB中基本数学函数（续） Exponential. exp log 10 log 2 pow 2 sqrt nextpow 2 Complex. abs conj real isreal cplxpair - Exponential. - Natural logarithm. - Common (base 10) logarithm. - Base 2 logarithm and dissect floating point number. - Base 2 power and scale floating point number. - Square root. - Next higher power of 2. - Absolute value. angle - Phase angle. - Complex conjugate. imag - Complex imaginary part. - Complex real part. unwrap - Unwrap phase angle. - True for real array. - Sort numbers into complex conjugate pairs. 26

Matlab MATLAB中基本数学函数（续） Exponential. exp - Exponential. log - Natural logarithm. log 10 - Common (base 10) logarithm. log 2 - Base 2 logarithm and dissect floating point number. pow 2 - Base 2 power and scale floating point number. sqrt - Square root. nextpow 2 - Next higher power of 2. Complex. abs conj real isreal cplxpair - Absolute value. angle - Phase angle. - Complex conjugate. imag - Complex imaginary part. - Complex real part. unwrap - Unwrap phase angle. - True for real array. - Sort numbers into complex conjugate pairs. 27

Matlab MATLAB中基本数学函数（续） Rounding and remainder. fix - Round towards zero. floor - Round towards minus infinity. ceil - Round towards plus infinity. round - Round towards nearest integer. mod - Modulus (signed remainder after division). rem - Remainder after division. sign - Signum. 28

Matlab 具箱及命令查询 help topics 在命令区(Command Window)键入 help ops help lang help elfun help fabs help sqrt 29

Matlab MATLAB中符号函数的表示 符号函数 MATLAB表示 '1/(2*x^n)' '1/sqrt(2*x)' 'sin(x^2)-cos(2*x)' M=sym('[a, b; c, d]') f=int('x^2/sqrt(1 -x)', 'a', 'b') 37

Matlab MATLAB中符号运算 üfx='a*x^2+b*x+c' solve(fx) solve(fx, 'b' ) %求方程fx=0的符号解 %求方程fx=0关于变量b的符号解 üfx= '1/(1+exp(-1/x))' limit(fx, x, 0, 'right') %求fx: x->0右极限 limit(fx, x, 0, 'left') %求fx: x->0左极限 limit(fx, x, inf) %求fx: x->∞极限 39