Chapter 1 Mathematica Mathematica Mathematica 1.1 Mathematica Mathematica (Wolfram Research) Windows, Mac OS X, Linux OS Mathematica 88 2012 11 9 2 Mathematica 2 1.2 Mathematica Mathematica
2 1 Mathematica Mathematica Mathematica Mathematica Windows Mac *1 1.1 1.1 Mathematica 9-1 Expand[(x + y)^7] (x + y) 7 x y Shift *1 Mathematica 1.12
1.3 Mathematica 3 Enter *2 Mathematica In[1]:= Expand[(x + y)^7] Out[1]= x 7 7x 6 y 21x 5 y 2 35x 4 y 3 35x 3 y 4 21x 2 y 5 7xy 6 y 7 In[1]:=Out[1]= Mathematica In[1]:= Out[1]= 1.8 1.3 Mathematica Mathematica Mathematica.nb *3 M athematica Mathematica Mathematica PDF HTML TEX 1.4 Mathematica *2 Mac shift return *3 Microsoft Word Microsoft Word.doc.docx
4 1 Mathematica Expand[(x + y)^7] [2] [16] *4 (evaluate) Mathematica In[k]:= k Out[k]= * 5 Shift + Enter Shift Enter Mac shift + return ( ), { }, [ ] + - * / ^ [10] == 2 [13] x_ _ 1.7 * 6 [2] In[2]:= (1 + 2) - 3 Out[2]= 0 [3] 4 (5+6) 7 In[3]:= 4*(5 + 6)/7 Out[3]= 44 7 [4] 3 10 In[4]:= 3^10 Out[4]= 59 049 [5] In[5]:= 25! [6] π 20 In[6]:= N[Pi, 20] Out[5]= 15511210043330985984000000 Out[6]= 3.1415926535897932385 *4 [2][3] *5 *6 9 1.9
1.4 5 [7] a 2 In[7]:= a = 2 Out[7]= 2 [8] a In[8]:= 3^a + 4^a Out[8]= 25 [9] x 4 1 In[9]:= Factor[x^4-1] Out[9]= 1 x 1 x 1 x 2 [10] In[10]:= Solve[x^2 - x - 2 == 0, x] Out[10]= x 1, x 2 [11] sin x x In[11]:= D[Sin[x], x] [12] 1 0 Out[11]= Cos x x 2 dx In[12]:= Integrate[x^2, {x, 0, 1}] Out[12]= [13] f(x) = sin(e x ) In[13]:= f[x_] = Sin[Exp[x]] 1 3 Out[13]= Sin x [14] f(0.5) In[14]:= f[0.5] Out[14]= 0.996965 [15] f(x) In[15]:= Plot[f[x], {x, -4, 4}] 1.0 0.5 Out[15]= 4 2 2 4 0.5 [16] sin x 2 + y 2 In[16]:= Plot3D[Sin[Sqrt[x^2 + y^2]], 1.0 {x, -10, 10}, {y, -10, 10}]
6 1 Mathematica Out[16]= chapter01.nb Mathematica chapter01.nb Mathematica chapter01.nb chapter01.nb Mathematica 1.6 1.5 Mathematica (1) (2) ( ) { } [ ] ( ) 1 2 (3+4) 1/{2 * (3 + 4)} 1/(2 * (3 + 4)). { } [ ] (3) x, y, z x*y*z x y z x y z xyz * 7 *7 x y z x(yz) x yz
1.6 7 (4) ] 1.11 Delete. (5) Mathematica Pi, E Sin, Exp [7] [13] *8 (6) % % (7) (* *) (8) ; * 9 (9) Shift + Enter 1.9 Ctrl + L 1.6 Mathematica *8 *9
8 1 Mathematica Mathematica [7] a = 2 a 2 [13] f[x] 5 5.1 * 10 [7] a = 2 a = 3 a Mathematica 3 Mathematica a Clear. Clear[a] a =. f Clear[a, f] a =.; f =. 1.7 a b f g Clear Mathematica Mathematica [9] x Factor[(x^4-1)] [8] [7] a = 2 a *10 Mathematica M athematica Mathematica a f[x] [7] [13] Shift + Enter
1.8 9 Clear[a] [7][8] a [10] [11] Solve[x^2 - x - 2 == 0, x] D[Sin[x], x] [13] f[x_] = Sin[Exp[x]] x_ x Mathematica 1.8 Mathematica Mathematica (abort) Alt +. Mac command +. 1.9 Windows
10 1 Mathematica Ctrl + Z Ctrl + C Ctrl + V Ctrl + X Ctrl + S Shift + Enter Alt +. Ctrl + L Ctrl + K Ctrl + 2 Mac command + Z command + C command + V command + X command + S shift + return command +. command + L command + K control + 2 * 11 Ctrl + K Enter 9 Ctrl + K Ctrl + L 1.5 (9). 9 *11 Mac control + 2
1.10 11 1.10 Mathematica 1.2 1.2 Mathematica 9 Plot Plot * 12 4 4.4 Mathematica *12 Mathematica http://reference.wolfram.com/
12 1 Mathematica Mathematica 20 1.11 Mathematica (cell) ] * 13 Windows Mac (title ) Alt + 1 command + 1 (section ) Alt + 4 command + 4 (subsection) Alt + 5 command + 5 1.12 Mathematica Mathematica 12 Edit Preferences... Interface * 14 Language for menus and dialog boxes *13 1 *14 Mac Mathematica Preferences... Interface
1.13 13 Japanese Mathematica... * 15 FontSize 12... 9 1.13 * 16 (1), Mathematica 3 (2) Mathematica, Mathematica (3) S.Mangano Mathematica (1) (2) (3) (1)(2) 7 (3) 8 *15 Mac Mathematica... *16 Mathematica