So, what exactly does it cover? It starts off with a couple of chapters on coordinate systems, and then spends three chapters on vectors, followed by another three chapters on matrices and transformations. It then covers orientation, comparing matrix, Euler angle, and quaternion representations (including one of most clear explanations of quaternions that I’ve encountered), before diving into several chapters covering geometric primitives, including detailed coverage of working with triangle meshes.

The book closes with a chapter applying 3D math to graphics in areas such as lighting, fog, coordinates spaces, LOD, culling and clipping, and so on, and another chapter on visibility determination, touching on things like quad- and octrees, BSP trees, PVS, and portal techniques. The explanations in these chapters are much less complete, taking more of an overview approach. Others have criticized the book for this, but I feel that an overview is appropriate, since it then sets the stage for these topics to be covered in detail in other game programming books.

I’d definitely recommend this book to anyone just getting started with game and graphics programming.