| |  | Copyright |
| | | About the Author |
| | | About the Technical Reviewers |
| | | Acknowledgments |
| | | Tell Us What You Think |
| | | Introduction |
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| | Who Is This Book For? |
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| | How Is This Book Organized? |
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| | What Will I Take Away from This Book? |
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Chapter 1.
Points and Lines |
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| | The Point Defined |
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| | The Line Defined |
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| | Properties of Lines |
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| | Applications in Collision Detection |
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| | Self-Assessment Solutions |
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Chapter 2.
Geometry Snippets |
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| | Distance Between Points |
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| | Parabolas |
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| | Circles and Spheres |
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| | Applications in Collision Detection |
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| | Visualization Experience: Collision Detection |
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| | Self-Assessment Solutions |
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Chapter 3.
Trigonometry Snippets |
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| | Degrees Versus Radians |
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| | Trigonometric Functions |
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| | Trigonometric Identities |
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| | Using Math Libraries in C++ |
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| | Self-Assessment Solutions |
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Chapter 4.
Vector Operations |
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| | Vector Versus Scalar |
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| | Polar Coordinates Versus Cartesian Coordinates |
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| | Vector Addition and Subtraction |
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| | Scalar Multiplication |
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| | Dot Product |
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| | Cross Product |
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| | Visualization Experience |
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| | Self-Assessment Solutions |
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Chapter 5.
Matrix Operations |
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| | Equal Matrices |
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| | Matrix Addition and Subtraction |
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| | Scalar Multiplication |
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| | Matrix Multiplication |
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| | Transpose |
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| | Visualization Experience |
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| | Self-Assessment Solutions |
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Chapter 6.
Transformations |
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| | Translation |
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| | Scaling |
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| | Rotation |
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| | Concatenation |
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| | Visualization Experience |
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| | Self-Assessment Solutions |
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Chapter 7.
Unit Conversions |
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| | The Metric System |
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| | Converting Units Between Systems |
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| | Computer Conversions |
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| | Self-Assessment Solutions |
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Chapter 8.
Motion in One Dimension |
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| | Speed and Velocity |
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| | Acceleration |
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| | Equations of Motion |
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| | Visualization Experience |
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| | Self-Assessment Solutions |
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Chapter 9.
Derivative Approach to Motion in One Dimension |
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| | Visualizing Velocity and Derivative |
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| | Visualizing Acceleration and Second Derivative |
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| | Self-Assessment Solutions |
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Chapter 10.
Motion in Two and Three Dimensions |
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| | Using Vectors |
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| | Projectiles |
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| | Visualization Experience |
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| | Self-Assessment Solutions |
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Chapter 11.
Newton's Laws |
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| | Forces |
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| | Using Newton's Laws to Determine How Forces Affect an Object's Motion |
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| | Self-Assessment Solutions |
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Chapter 12.
Energy |
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| | Work and Kinetic Energy |
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| | Potential Energy and the Conservation Law |
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| | Self-Assessment Solutions |
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Chapter 13.
Momentum and Collisions |
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| | Collision with a Stationary Object |
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| | Momentum and Impulse Defined |
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| | Modeling Collisions |
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| | Visualization Experience |
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| | Self-Assessment Solutions |
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Chapter 14.
Rotational Motion |
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| | Circular Motion |
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| | Rotational Dynamics |
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| | Self-Assessment Solutions |
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Appendix A.
List of Formulas |
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| | Symbols |
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| | Chapter 1, "Points and Lines" |
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| | Chapter 2, "Geometry Snippets" |
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| | Chapter 3, "Trigonometry Snippets" |
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| | Chapter 4, "Vector Operations" |
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| | Chapter 5, "Matrix Operations" |
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| | Chapter 6, "Transformations" |
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| | Chapter 7, "Unit Conversions" |
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| | Chapter 8, "Motion in One Dimension" |
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| | Chapter 9, "Derivative Approach to Motion in One Dimension" |
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| | Chapter 10, "Motion in Two and Three Dimensions" |
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| | Chapter 11, "Newton's Laws" |
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| | Chapter 12, "Energy" |
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| | Chapter 13, "Momentum and Collisions" |
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| | Chapter 14, "Rotational Motion" |
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Appendix B.
Suggested Reading |
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Appendix C.
What's on the CD-ROM |
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| | Loading the CD Files |
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| | Exercise Files |
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| | Third-Party Programs |
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| | Read This Before Opening the Software |
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| | | Glossary |
| | | Index |
