Beginning Math and Physics for Game Programmers by Stahler, Wendy -- Read -- Imperial Library of Trantor

Index

Copyright About the Author About the Technical Reviewers Acknowledgments Tell Us What You Think Introduction Points and Lines

The Point Defined The Line Defined Properties of Lines Applications in Collision Detection Self-Assessment Solutions

Geometry Snippets

Distance Between Points Parabolas Circles and Spheres Applications in Collision Detection Visualization Experience: Collision Detection Self-Assessment Solutions

Trigonometry Snippets

Degrees Versus Radians Trigonometric Functions Trigonometric Identities Using Math Libraries in C++ Self-Assessment Solutions

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

Matrix Operations

Equal Matrices Matrix Addition and Subtraction Scalar Multiplication Matrix Multiplication Transpose Visualization Experience Self-Assessment Solutions

Transformations

Translation Scaling Rotation Concatenation Visualization Experience Self-Assessment Solutions

Unit Conversions

The Metric System Converting Units Between Systems Computer Conversions Self-Assessment Solutions

Motion in One Dimension

Speed and Velocity Acceleration Equations of Motion Visualization Experience Self-Assessment Solutions

Derivative Approach to Motion in One Dimension

Visualizing Velocity and Derivative Visualizing Acceleration and Second Derivative Self-Assessment Solutions

Motion in Two and Three Dimensions

Using Vectors Projectiles Visualization Experience Self-Assessment Solutions

Newton's Laws

Forces Using Newton's Laws to Determine How Forces Affect an Object's Motion Self-Assessment Solutions

Energy

Work and Kinetic Energy Potential Energy and the Conservation Law Self-Assessment Solutions

Momentum and Collisions

Collision with a Stationary Object Momentum and Impulse Defined Modeling Collisions Visualization Experience Self-Assessment Solutions

Rotational Motion

Circular Motion Rotational Dynamics Self-Assessment Solutions

List of Formulas

Symbols Chapter 1, “Points and Lines” Chapter 2, “Geometry Snippets” Chapter 3, “Trigonometry Snippets” Chapter 4, “Vector Operations” Chapter 5, “Matrix Operations” Chapter 6, “Transformations” Chapter 7, “Unit Conversions” Chapter 8, “Motion in One Dimension” Chapter 9, “Derivative Approach to Motion in One Dimension” Chapter 10, “Motion in Two and Three Dimensions” Chapter 11, “Newton's Laws” Chapter 12, “Energy” Chapter 13, “Momentum and Collisions” Chapter 14, ”Rotational Motion”