A Crash Course in Mathematica

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Springer Science & Business Media, Jul 1, 1999 - Computers - 200 pages
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This compact introduction to Mathematicaaccessible to beginners at all levelspresents the basic elements of the latest version 3 (front §End.txt.Int.:, kernel, standard packages). Using examples and exercises not specific to a scientific area, it teaches readers how to effectively solve problems in their own field. The cross-platform CD-ROM contains the entire book in the form of Mathematica notebooks, including color graphics, animations, and hyperlinks, plus the program MathReader.
 

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Contents

Preface
9
A Short Tour
16
Numerical Calculations
17
Graphics
19
Programming
22
Some of the Most Important Functions
23
The Basics
27
11 The Structure of the Program
28
26 Exporting to Other Programs
113
Lists and Graphics Programming
115
31 Lists
116
312 Manipulating Lists
117
313 Multidimensional Lists
120
322 Mapping Functions on Lists
121
323 Pure Functions
122
324 Using List Elements as Arguments
124

112 The Kernel
29
12 Online Documentation
31
13 Formulas
32
132 Entering Formulas and Special Characters
34
14 Simple Calculations
37
142 Numerical Calculations
41
143 Algebraic Manipulation
44
144 Transformation Rules and Definitions
46
145 Equations
51
146 Calculus
59
Graphics
67
21 Graphs of Functions of One Variable
68
22 Graphs of Functions of Two Variables
80
221 Surfaces
81
222 Contours
86
223 Density Plots
89
23 Parametric Plots
92
232 ThreeDimensional Parametric Plots
93
24 Tools from Standard Packages
100
242 Tools for TwoDimensional Graphics
101
243 Tools for ThreeDimensional Graphics
102
244 Legends
103
245 Vector Fields
105
25 Animations
110
325 Plotting Lists
126
33 Linear Algebra
131
34 Graphics Programming
136
342 Graphics3D Objects
139
343 Objects from Standard Packages
140
Animating a Mechanism
146
Introduction to Programming
151
41 Expressions
152
42 Patterns
155
422 Constraints
157
423 More Complicated Patterns
162
424 A Simple Integrator
163
43 Evaluation
167
432 Attributes
168
433 The Evaluation Process
169
44 Programming Tools
172
442 Functional Programming
173
443 RuleBased and Recursive Programming
176
444 Procedural Programming
179
445 Modularity
181
446 Compiling Numerical Calculations
183
45 Further Information
185
Index
187
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