b SecondOrder Linear Ordinary Differential Equations 3 http
(b) 接著,按 “Second-Order Linear Ordinary Differential Equations” 按
(3) http: //mathworld. wolfram. com/ 對微分方程的定理和名詞作介紹的百科網站 (4) http: //www. sosmath. com/tables. html 眾多數學式的 mathematical table (不限於微分方程) (5) http: //www. seminaire-sherbrooke. qc. ca/math/Pierre/Tables. pdf 眾多數學式的 mathematical table,包括 convolution, Fourier transform, Laplace transform, Z transform (6) http: //www. math. sfu. ca/~cbm/aands/toc. htm M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, with Formula, Graphs and Mathematical Tables, Dover Publication, New York, 1965. 這本書的電子版
2. 軟體 (3 M) Maple, Mathematica, Matlab (7. 2 版以上) 有如下的功能 syms x 將 x 宣告為變數 int(f(x)) 是 f(x) 的不定積分 int(f(x), a, b) 是 f(x) 在 x [a, b] 範圍的定積分 diff(f(x))是 f(x) 的微分 範例: >> syms x >> int(x*cos(5*x)) ans = 1/25*cos(5*x)+1/5*x*sin(5*x) Mathematica 和 Matlab 亦有類似的功能
3. 具書 (With Tables) M. R. Spiegel, Mathematical Handbook of Formulas and Tables, Mc. Graw. Hill, 1990. A. Jeffrey, Handbook of Mathematical Formulas and Integrals, Academic Press, San Diego, 2000. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, with Formula, Graphs and Mathematical Tables, Dover Publication, New York, 1965.
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