Mathematica DeMYSTiFied | DeMystified

Mathematica DeMYSTiFied

Authors: Jim Hoste

Published: November 2008

eISBN: 9780071591454 0071591451 | ISBN: 9780071591447

Contents

Preface

Acknowledgments

Chapter 1 Getting Started

1.1 Starting Mathematica

1.2 Entering Expressions

1.3 Editing Cells

1.4 Basic Arithmetic

1.5 Using Previous Results

1.6 Exact versus Approximate

1.7 Using Functions

1.8 Using Variables

1.9 Using Comments

1.10 Suppressing Output

1.11 Aborting a Calculation

1.12 Lists

1.13 Palettes

1.14 Saving and Printing Our Work

1.15 Getting Help!

1.16 Find Out More

Quiz

Chapter 2 Two-Dimensional Graphics

2.1 The Plot Function

2.2 Resizing Graphics

2.3 Graphics Options

2.4 Drawing Tools and the Graphic Inspector

2.5 Using Epilog

2.6 Mouseover Effects–Tooltip

2.7 Animation–Using Manipulate

2.8 Plotting Points with ListPlot

2.9 Curve Fitting

2.10 Plotting in Polar Coordinates

2.11 Parametric Plots

2.12 Drawing Shapes

2.13 Saving and Printing Graphics

2.14 Find Out More

Quiz

Chapter 3 Getting Help

3.1 Syntax Coloring

3.2 Delimiter Matching

3.3 Setting Preferences

3.4 The Help Menu

3.5 Writing Good Code

3.6 Monitoring Calculations

3.7 Getting Out of Trouble

3.8 Ask an Expert

3.9 Find Out More

Quiz

Chapter 4 Odds and Ends

4.1 Transforming Expressions

4.2 Replacement Rules

4.3 Working with Lists

4.4 Sums and Products

4.5 Matrices

4.6 Find Out More

Quiz

Chapter 5 Functions

5.1 Defining Functions

5.2 Pure Functions

5.3 Elementary Programming

5.4 Using Modules

5.5 Find Out More

Quiz

Chapter 6 Three-Dimensional Graphics

6.1 The Plot3D Function

6.2 3D Graphics Options

6.3 Surfaces of Revolution

6.4 Drawing Contours or Level Sets

6.5 Drawing Curves in 3-Space

6.6 Drawing Graphics Primitives

6.7 Find Out More

Quiz

Chapter 7 Calculus

7.1 Limits

7.2 One-Sided Limits

7.3 Multivariable Limits

7.4 Derivatives

7.5 Minimum/Maximum Problems

7.6 Series

7.7 Integration

7.8 Antidifferentiation

7.9 Applications of Integration

7.10 Find Out More

Quiz

Chapter 8 Solving Equations

8.1 Polynomial Equations

8.2 Systems of Polynomial Equations

8.3 Systems of Linear Equations

8.4 Nonpolynomial Equations

8.5 Differential Equations

8.6 Find Out More

Quiz

Chapter 9 Working with Data

9.1 Country Data

9.2 Word Play

9.3 Graphs

9.4 A Glimpse of Other Data Sets

9.5 Find Out More

Quiz

Chapter 10 Dynamical Systems and Fractals

10.1 Iterating a Function

10.2 Graphical Analysis

10.3 The Quadratic Family

10.4 Julia Sets

10.5 Custom Coloring

10.6 Making Movies

10.7 The Mandelbrot Set

10.8 What Is a Fractal?

10.9 Find Out More

Quiz

Chapter 11 Looking Good

11.1 Cell Styling

11.2 The Option Inspector

11.3 Cell Properties

11.4 Using Palettes

11.5 Cell Grouping

11.6 Hyperlinks

11.7 Adding Graphics to Notebooks

11.8 Creating Slideshows

11.9 Find Out More

Quiz

Final Exam

Answers

Index