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Beginning Math and Physics for Game Programmers

ISBN: 0735713901
EAN: 2147483647

Year: 2004
Pages: 143

Authors: Wendy Stahler

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