The first volume of Foundations of Game Engine Development discusses the mathematics needed by engineers who work on games or other types of virtual simulations. The book begins with conventional treatments of topics such as linear algebra, transforms, and geometry. Then, it introduces Grassmann algebra and geometric algebra to provide a much deeper understanding of the subject matter and highlight the places where traditional arithmetic with vectors, matrices, quaternions, etc., fits into a larger picture. Includes exercises.

Table of Contents

Chapter 1: Vectors and Matrices

Chapter 2: Transforms

Chapter 3: Geometry

Chapter 4: Advanced Algebra

About the Author

Eric Lengyel (Ph.D. computer science, M.S. mathematics) has been a game engine developer since the 1990s and has been writing about it almost as long. He spends most of his time working on the C4 Engine and the Slug Library, but sometimes takes a break to perform new research in geometric algebra. He lives in Lincoln, California.