Physics for Game Developers

TL;DR: In this article, real-time Simulations Integrating the Equations of Motion Euler's Method Other Methods 12.2D and 3D Rigid Body Simulator Model Integration Flight Controls Rendering 13.3D Rotation Rotation Matrices Quaternions 15.

Abstract: Table of Contents Preface 1. Basic Concepts Newton's Laws of Motion Units and Measures Coordinate System Vectors Mass,Center of Mass,and Moment of Inertia Newton's Second Law of Motion Inertia Tensor 2. Kinematics Introduction Velocity and Acceleration Constant Acceleration Nonconstant Acceleration 2D Particle Kinematics 3D Particle Kinematics Kinematic Particle Explosion Rigid Body Kinematics Local Coordinate Axes Angular Velocity and Acceleration 3. Force Introduction Force Fields Friction Fluid Dynamic Drag A Note on Pressure Buoyancy Springs and Dampers Force and Torque 4. Kinetics Particle Kinetics in 2D Particle Kinetics in 3D Rigid Body Kinetics 5. Collisions Impulse-Momentum Principle Impact Linear and Angular Impulse Friction 6. Projectiles Simple Trajectories Drag Magnus Effect Variable Mass 7. Aircraft Geometry Lift and Drag Other Forces Control Modeling 8. Ships Flotation Volume Resistance Virtual Mass 9. Hovercraft How They Work Resistance 10. Cars Resistance Power Stopping Distance Roadway Banking 11. Real-Time Simulations Integrating the Equations of Motion Euler's Method Other Methods 12. 2D Rigid Body Simulator Model Integration Flight Controls Rendering 13. Implementing Collision Response Linear Collision Response Angular Effects 14. Rigid Body Rotation Rotation Matrices Quaternions 15. 3D Rigid Body Simulator Model Integration Flight Controls Rendering 16. Multiple Bodies in 3D Model Integration Collision Response Tuning 17. Particle Systems Model Integration Collision Response Tuning Appendix A: Vector Operations Appendix B: Matrix Operations Appendix C: Quaternion Operations Bibliography Index