游戏开发中的物理学

Preface

Part Ⅰ.Fundamentals

1. Basic Concepts

Newton's Laws of Motion

Units and Measures

Coordinate System

Vectors

Derivatives and Integrals

Mass， Center of Mass， and Moment of Inertia

Newton's Second Law of Motion

Inertia Tensor

Relativistic Time

2. Kinematics

Velocity and Acceleration

Constant Acceleration

Nonconstant Acceleration

2D Particle Kinematics

3D Particle Kinematics

X Components

Y Components

Z Components

The Vectors

Hitting the Target

Kinematic Particle Explosion

Rigid-Body Kinematics

Local Coordinate Axes

Angular Velocity and Acceleration

3. Force

Forces

Force Fields

Friction

Fluid Dynamic Drag

Pressure

Buoyancy

Springs and Dampers

Force and Torque

Summary

4. Kinetics

Particle Kinetics in 2D

Particle Kinetics in 3D

X Components

Y Components

Z Components

Cannon Revised

Rigid-Body Kinetics

5. Collisions

Impulse-Momentum Principle

Impact

Linear and Angular Impulse

Friction

6. Projectiles

Simple Trajectories

Drag

Magnus Effect

Variable Mass

Part Ⅱ.Rigid-BodyDynamics

7. Real-Time Simulations

Integrating the Equations of Motion

Euler's Method

Better Methods

……

8. Particles

9. 2D Rigid-Body Simulator

10. Implementing Collision Response

11. Rotation in 3D Rigid-Body Simulators

12. 3D Rigid-BodySimulator

13. Connecting Objects

14. Physics Engines

Part Ⅲ.Physical Modeling

15. Aircraft

16. Ships and Boats

17. Cars and Hovercraft

18. Guns and Explosions

19. Sports

Part Ⅳ.Digital Physics

20. Touch Screens

21. Accelerometers

22. Gaming from One Place to Another

23. Pressure Sensors and Load Cells

24. 3D Display

25. Optical Tracking

26. Sound

A. Vector Operations

B. Matrix Operations

C. Quaternion Operations

Bibliography

Index

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