# 3D Math Primer for Graphics and Game Development, 2nd Edition

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 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.

- Contains numerous C++ and HLSL examples that illustrate how to put the techniques into practice
- Provides hundreds of worked problems that reinforce the basic concepts and explore interesting side quests
- Includes expanded, graceful introductions to the mathematics fundamental to game development
- Covers two important application areas—graphics and physics—in introductory ove

**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 Contents**

Chapter 1. Cartesian Coordinate Systems

Chapter 2. Vectors

Chapter 3. Multiple Coordinate Spaces

Chapter 4. Introduction to Matrices

Chapter 5. Matrices and Linear Transformations

Chapter 6. More on Matrices

Chapter 7. Polar Coordinate Systems

Chapter 8. Rotation in Three Dimensions

Chapter 9. Geometric Primitives

Chapter 10. Mathematical Topics from 3D Graphics

Chapter 11. Mechanics 1

Chapter 12. Mechanics 2

Chapter 13. Curves in 3D

Chapter 14. Afterword

Appendix A. Geometric Tests

Appendix B. Answers to the Exercises

Bibliography

Index

### Book Details

**Hardcover:**846 pages**Publisher:**A K Peters/CRC Press; 2nd Edition (November 2011)**Language:**English**ISBN-10:**1568817231**ISBN-13:**978-1568817231