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9780471478157

Getting Started with Mathematica?, 2nd Edition

by ; ; ;
  • ISBN13:

    9780471478157

  • ISBN10:

    0471478156

  • Edition: 2nd
  • Format: Paperback
  • Copyright: 2005-03-01
  • Publisher: WILEY
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List Price: $54.00

Summary

Mathematica is computer software that performs abstract computation as well as numerical computation. It can produce graphics ranging from graphs of functions in the plane to intricate, three-dimensional plots of surfaces and parametric curves. It also provides support for programming. This guide gives a stream-lined, but fairly extensive introduction to Mathematica. It primarily covers Mathematica 5.0, although references to earlier versions are included in cases where significant changes have been made. Each of the Guide's 28 Chapters has been structured around an area of undergraduate mathematics (e.g., one-variable differential Calculus, multiple integration, differential equations, linear algebra). Each chapter defines relevant commands used in that area, addresses their syntax, and provides basic examples. Each chapter ends with one or more sections which include more technical examples, offer useful tips, and diagnose common problems that users are likely to encounter. Two appendices are also included that explain how to work in the Mathematica notebook environment and use certain input features.

Table of Contents

Part 1. Basic Mathematica Commands
Running Mathematica
1(8)
Computer Systems
1(2)
A Quick Tour
3(4)
More Examples
7(1)
Useful Tips
7(1)
Troubleshooting Q & A
7(2)
Calculator Features in Mathematica
9(6)
Simple Arithmetic
9(1)
Output Styles
10(1)
Built-in Constants and Functions
11(2)
Error Messages
13(1)
More Examples
13(1)
Useful Tips
13(1)
Troubleshooting Q & A
14(1)
Variables and Functions
15(7)
Variables
15(3)
Functions
18(1)
More Examples
19(1)
Useful Tips
20(1)
Troubleshooting Q & A
20(2)
Computer Algebra
22(5)
Working with Polynomials and Powers
22(1)
Working with Rational Functions
23(1)
Working with Trig and Hyperbolic Functions
24(1)
Useful Tips
25(1)
Troubleshooting Q & A
25(2)
Working with Equations
27(7)
Equations and Their Solutions
27(2)
Equations and Numerical Solutions
29(1)
FindRoot and Numerical Solutions
29(1)
More Examples
30(1)
Useful Tips
31(1)
Troubleshooting Q & A
32(2)
Mathematica Lists
34(5)
Lists
34(3)
More Examples
37(1)
Troubleshooting Q & A
38(1)
Getting Help and Loading Packages
39(6)
Text-based Help
39(1)
Browser-based Help
40(1)
Packages
41(2)
Useful Tips
43(1)
Troubleshooting Q & A
43(2)
Part 2. 2-D Pictures in Mathematica
Making Graphs
45(10)
Drawing the Graph of a Function
45(2)
Plotting Multiple Expressions
47(1)
Style Options for Graphics
48(2)
Exporting Graphics
50(1)
More Examples
51(1)
Useful Tips
52(1)
Troubleshooting Q & A
53(2)
Plotting a Curve
55(8)
Parametric Plots
55(1)
Plotting in Polar Coordinates
56(1)
Plotting Graphs of Equations
57(1)
PlotStyle for ParametricPlot, PolarPlot and ImplicitPlot
58(2)
Useful Tips
60(1)
Troubleshooting Q & A
60(3)
More on Mathematica 2D Graphics
63(4)
Tick Marks
63(1)
Grid Lines and Labeling
64(1)
Useful Tips
65(1)
Troubleshooting Q & A
66(1)
Part 3. Mathematica for One-Variable Calculus
Limits and Derivatives
67(8)
Limits
67(2)
Differentiation
69(1)
More Examples
70(3)
Useful Tips
73(1)
Troubleshooting Q & A
73(2)
Integration
75(6)
Anti-Differentiation
75(1)
Numerical Integration
76(1)
More Examples
77(2)
Useful Tips
79(1)
Troubleshooting Q & A
79(2)
Series, Taylor Series, and Fourier Series
81(9)
Series
81(1)
Taylor Series
82(1)
Fourier Series
83(1)
More Examples
84(3)
Troubleshooting Q & A
87(3)
Part 4. 3-D Pictures in Mathematica
Making Graphs in Space
90(10)
Graphing Functions of Two Variables
90(1)
ViewPoints for 3-D Graphics
91(2)
Surfaces in Cylindrical and Spherical Coordinates
93(2)
More Examples
95(1)
Helpful Tips
96(1)
Troubleshooting Q & A
97(3)
Level Curves and Level Surfaces
100(6)
Level Curves in the Plane
100(1)
Level Surfaces in Space
101(1)
More Examples
102(2)
Troubleshooting Q & A
104(2)
Parametric Curves and Surfaces in Space
106(8)
ParametricPlot3D
106(2)
Plotting Multiple Curves and Surfaces
108(1)
Styling Curves and Surfaces
109(1)
More Examples
110(2)
Troubleshooting Q & A
112(2)
Part 5. Mathematica for Advanced Calculus
Partial Differentiation and Multiple Integration
114(9)
Partial Derivatives
114(1)
Double and Triple Integrals
114(2)
More Examples
116(4)
Useful Tips
120(1)
Troubleshooting Q & A
121(2)
Matrices and Vectors
123(8)
Vectors
123(1)
Matrices
124(2)
More Examples
126(2)
Useful Tips
128(1)
Troubleshooting Q & A
129(2)
Vector Fields
131(7)
Drawing a Vector Field
131(2)
Gradient, Curl, and Divergence
133(1)
Line and Surface Integrals
134(1)
More Examples
135(1)
Useful Tips
136(1)
Troubleshooting Q & A
136(2)
Solving Differential Equations
138(7)
Symbolic Solutions of Equations
138(1)
Numerical Solutions of Equations
139(1)
Systems of Differential Equations
140(1)
Laplace Transform
141(1)
More Examples
142(2)
Troubleshooting Q & A
144(1)
Solving Partial Differential Equations
145(5)
Symbolic Solutions of Equations
145(1)
Numerical Solutions of Equations
146(1)
More Examples
147(1)
Useful Tips
148(1)
Troubleshooting Q & A
148(2)
Part 6. Using Mathematica in Statistics
More About Lists
150(11)
Displaying Lists
150(2)
Working with Lists
152(3)
Working with Sets
155(1)
More Examples
156(3)
Troubleshooting Q & A
159(2)
Basic Statistics
161(10)
Graphical Presentation of Data
161(2)
Numerical Measures
163(1)
Probability Distributions
164(1)
More Examples
165(3)
Useful Tips
168(1)
Troubleshooting Q & A
169(2)
Regression and Interpolation
171(9)
Regression
171(2)
Interpolation
173(1)
More Examples
174(4)
Useful Tips
178(1)
Troubleshooting Q & A
178(2)
Part 7. Advanced Features of Mathematica
Advanced Graphics in Mathematica
180(7)
Basic Two-Dimensional Graphic Elements
180(3)
The Three-Dimensional Situation
183(2)
Useful Tips
185(1)
Troubleshooting Q & A
186(1)
Writing Mathematica Programs
187(12)
Summary of Programming Commands and Statements
187(2)
Basic Programming Examples
189(1)
Miscellaneous Comments for Programming Experts
190(2)
More Examples
192(3)
Useful Tips
195(1)
Troubleshooting Q & A
195(4)
Animation
199(9)
Getting Started
199(2)
Writing Animations
201(5)
Useful Tips
206(1)
Troubleshooting Q & A
206(2)
Random Numbers and Simulation
208(17)
Random Numbers
208(2)
Understanding Simulation
210(1)
Simulation Examples
211(2)
More Examples
213(2)
Troubleshooting Q & A
215(1)
Appendices
A Working with Notebooks
216(6)
A.1 Front End and Kernel
216(1)
A.2 Notebooks and Cells
216(3)
A.3 Notebook Structure
219(3)
B Input Shortcuts
222(3)
B.1 Keyboard Aids
222(1)
B.2 Palettes
222(3)
B.3 Other Uses of Palettes
225

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