Preface;
Who Is This Book For?;
What We Assume You Know;
Mechanics;
Digital Physics;
Arrangement of This Book;
Conventions Used in This Book;
Using Code Examples;
Safari® Books Online;
How to Contact Us;
Acknowledgments;
Fundamentals;
Chapter 1: Basic Concepts;
1.1 Newton's Laws of Motion;
1.2 Units and Measures;
1.3 Coordinate System;
1.4 Vectors;
1.5 Derivatives and Integrals;
1.6 Mass, Center of Mass, and Moment of Inertia;
1.7 Newton's Second Law of Motion;
1.8 Inertia Tensor;
1.9 Relativistic Time;
Chapter 2: Kinematics;
2.1 Velocity and Acceleration;
2.2 Constant Acceleration;
2.3 Nonconstant Acceleration;
2.4 2D Particle Kinematics;
2.5 3D Particle Kinematics;
2.6 Kinematic Particle Explosion;
2.7 Rigid-Body Kinematics;
2.8 Local Coordinate Axes;
2.9 Angular Velocity and Acceleration;
Chapter 3: Force;
3.1 Forces;
3.2 Force Fields;
3.3 Friction;
3.4 Fluid Dynamic Drag;
3.5 Pressure;
3.6 Buoyancy;
3.7 Springs and Dampers;
3.8 Force and Torque;
3.9 Summary;
Chapter 4: Kinetics;
4.1 Particle Kinetics in 2D;
4.2 Particle Kinetics in 3D;
4.3 Rigid-Body Kinetics;
Chapter 5: Collisions;
5.1 Impulse-Momentum Principle;
5.2 Impact;
5.3 Linear and Angular Impulse;
5.4 Friction;
Chapter 6: Projectiles;
6.1 Simple Trajectories;
6.2 Drag;
6.3 Magnus Effect;
6.4 Variable Mass;
Rigid-Body Dynamics;
Chapter 7: Real-Time Simulations;
7.1 Integrating the Equations of Motion;
7.2 Euler's Method;
7.3 Better Methods;
7.4 Summary;
Chapter 8: Particles;
8.1 Simple Particle Model;
8.2 The Basic Simulator;
8.3 Implementing External Forces;
8.4 Implementing Collisions;
8.5 Tuning;
Chapter 9: 2D Rigid-Body Simulator;
9.1 Model;
9.2 The Basic Simulator;
9.3 Tuning;
Chapter 10: Implementing Collision Response;
10.1 Linear Collision Response;
10.2 Angular Effects;
Chapter 11: Rotation in 3D Rigid-Body Simulators;
11.1 Rotation Matrices;
11.2 Quaternions;
11.3 Quaternions in 3D Simulators;
Chapter 12: 3D Rigid-Body Simulator;
12.1 Model;
12.2 Integration;
12.3 Flight Controls;
Chapter 13: Connecting Objects;
13.1 Springs and Dampers;
13.2 Connecting Particles;
13.3 Connecting Rigid Bodies;
Chapter 14: Physics Engines;
14.1 Building Your Own Physics Engine;
Physical Modeling;
Chapter 15: Aircraft;
15.1 Geometry;
15.2 Lift and Drag;
15.3 Other Forces;
15.4 Control;
15.5 Modeling;
Chapter 16: Ships and Boats;
16.1 Stability and Sinking;
16.2 Ship Motions;
16.3 Resistance and Propulsion;
16.4 Maneuverability;
Chapter 17: Cars and Hovercraft;
17.1 Cars;
17.2 Hovercraft;
Chapter 18: Guns and Explosions;
18.1 Projectile Motion;
18.2 Taking Aim;
18.3 Recoil and Impact;
18.4 Explosions;
Chapter 19: Sports;
19.1 Modeling a Golf Swing;
19.2 Billiards;
Digital Physics;
Chapter 20: Touch Screens;
20.1 Types of Touch Screens;
20.2 Step-by-Step Physics;
20.3 Example Program;
20.4 Other Considerations;
Chapter 21: Accelerometers;
21.1 Accelerometer Theory;
21.2 Sensing Orientation;
21.3 Sensing Tilt;
Chapter 22: Gaming from One Place to Another;
22.1 Location-Based Gaming;
22.2 What Time Is It?;
22.3 Location, Location, Location;
Chapter 23: Pressure Sensors and Load Cells;
23.1 Under Pressure;
23.2 Button Mashing;
23.3 Barometers;
Chapter 24: 3D Display;
24.1 Binocular Vision;
24.2 Stereoscopic Basics;
24.3 Types of Display;
24.4 Programming Considerations;
Chapter 25: Optical Tracking;
25.1 Sensors and SDKs;
25.2 Numerical Differentiation;
Chapter 26: Sound;
26.1 What Is Sound?;
26.2 Characteristics of and Behavior of Sound Waves;
26.3 3D Sound;
Vector Operations;
Vector Class;
Vector Functions and Operators;
Matrix Operations;
Matrix3×3 Class;
Matrix Functions and Operators;
Quaternion Operations;
Quaternion Class;
Quaternion Functions and Operators;
Bibliography;
General Physics and Dynamics;
Mathematics and Numerical Methods;
Computational Geometry;
Projectiles;
Sports Ball Physics;
Aerodynamics;
Hydrostatics and Hydrodynamics;
Automobile Physics;
Real-time Physics Simulations;
Digital Physics;
Colophon;