ABSTRACT

This 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

chapter Chapter 1|30 pages

Cartesian Coordinate Systems

chapter Chapter 2|48 pages

Vectors

chapter Chapter 3|34 pages

Multiple Coordinate Spaces

chapter Chapter 4|24 pages

Introduction to Matrices

chapter Chapter 5|24 pages

Matrices and Linear Transformations

chapter Chapter 6|30 pages

More on Matrices

chapter Chapter 7|26 pages

Polar Coordinate Systems

chapter Chapter 8|78 pages

Rotation in Three Dimensions

chapter Chapter 9|48 pages

Geometric Primitives

chapter Chapter 10|136 pages

Mathematical Topics from 3D Graphics

chapter Chapter 11|74 pages

Mechanics 1: Linear Kinematics and Calculus

chapter Chapter 12|92 pages

Mechanics 2: Linear and Rotational Dynamics

chapter Chapter 13|70 pages

Curves in 3D

chapter Chapter 14|2 pages

Afterword