# 3D Math Primer for Graphics and Game Development

Jones & Bartlett Learning, 2002 - Mathematics - 429 pages
3D Math Primer For Graphics And Game Development Covers Fundamental 3D Math Concepts That Are Especially Useful For Computer Game Developers And Programmers. The Authors Discuss The Mathematical Theory In Detail And Then Provide The Geometric Interpretation Necessary To Make 3D Math Intuitive. Working C++ Classes Illustrate How To Put The Techniques Into Practice, And Exercises At The End Of Each Chapter Help Reinforce The Concepts. This Book Explains Basic Concepts Such As Vectors, Coordinate Spaces, Matrices, Transformations, Euler Angles, Homogenous Coordinates, Geometric Primitives, Intersection Tests, And Triangle Meshes. It Discusses Orientation In 3D, Including Thorough Coverage Of Quaternions And A Comparison Of The Advantages And Disadvantages Of Different Representation Techniques. The Text Describes Working C++ Classes For Mathematical And Geometric Entities And Several Different Matrix Classes, Each Tailored To Specific Geometric Tasks. Also Included Are Complete Derivations For All The Primitive Transformation Matrices.

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User Review - Flag as inappropriate

This book is recommended literature in my class (Simulations in 3D) and so far a very helpful book.
It introduces the basic concepts like vectors and matrices in the 2D world (very easy to understand
) and then teaches you how to apply it to the 3D world.
A good book if you intend to work with 3D simulations (be that movies, games or simulators).

#### Review: 3D Math Primer for Graphics and Game Development

User Review  - Jeremy - Goodreads

Shawn P recommended this book for us non-CIS guys that want to get deeper into 3D. Worked with him on an animated film, before he left to work at a major game studio. Great guy, very knowledgeable... what I'm sayin is, I trust his judgment. Read full review

### Contents

 The Cartesian Coordinate System 5 Multiple Coordinate Spaces 23 Vectors 35 Operations on Vectors 45 A Simple 3D Vector Class 69 Introduction to Matrices 83 Matrices and Linear Transformations 101 More on Matrices 125
 Transformations in C++ 195 Geometric Primitives 239 Geometric Tests 277 Triangle Meshes 319 3D Math for Graphics 345 Visibility Determination 385 Afterword 407 Appendix B References 415

 Orientation and Angular Displacement in 3D 147