Game Physics, 2nd Edition

Create physically realistic 3D Graphics environments with this introduction to the ideas and techniques behind the process. Author David H. Eberly includes simulations to introduce the key problems involved and then gradually reveals the mathematical and physical concepts needed to solve them. He then describes all the algorithmic foundations and uses code examples and working source code to show how they are implemented, culminating in a large collection of physical simulations. The book tackles the complex, challenging issues that other books avoid, including Lagrangian dynamics, rigid body dynamics, impulse methods, resting contact, linear complementarity problems, deformable bodies, mass-spring systems, friction, numerical solution of differential equations, numerical stability and its relationship to physical stability, and Verlet integration methods. This book even describes when real physics isn’t necessary – and hacked physics will do.

Table of Contents

1 Introduction
2 Basic Concepts from Physics
3 Rigid Body Motion
4 Deformable Bodies
5 Fluids and Gases
6 Physics Engines
7 Linear Algebra
8 Affine Algebra
9 Calculus
10 Quaternions
11 Differential Equations
12 Ordinary Difference Equations
13 Numerical Methods
14 Linear Complementarity and Mathematical Programming