Description
Book SynopsisThis engaging book presents the essential mathematics needed to describe, simulate, and render a 3D world. Reflecting both academic and in-the-trenches practical experience, the authors teach you how to describe objects and their positions, orientations, and trajectories in 3D using mathematics. The text provides an introduction to mathematics for game designers, including the fundamentals of coordinate spaces, vectors, and matrices. It also covers orientation in three dimensions, calculus and dynamics, graphics, and parametric curves.
Trade Review"With solid theory and references, along with practical advice borne from decades of experience, all presented in an informal and demystifying style, Dunn & Parberry provide an accessible and useful approach to the key mathematical operations needed in 3D computer graphics."
—Eric Haines, author of Real-Time Rendering"The book describes the mathematics involved in game development in a very clear and easy to understand way, layered on the practical background of years of game engine programming experience."
—Wolfgang Engel, editor of GPU Pro
Table of ContentsCartesian Coordinate Systems. Vectors. Multiple Coordinate Spaces. Introduction to Matrices. Matrices and Linear Transformations. More on Matrices. Polar Coordinate Systems. Rotation in Three Dimensions. Geometric Primitives. Mathematical Topics from 3D Graphics. Mechanics 1: Linear Kinematics and Calculus. Mechanics 2: Linear and Rotational Dynamics. Curves in 3D. Afterword. Appendices. Bibliography. Index.
