مقدمه‌ای بر ریاضیات سه‌بعدی برای گرافیک و توسعه بازی

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. Dedication......Page 6 Contents......Page 8 Acknowledgments......Page 14 Introduction......Page 16 1. Cartesian Coordinate Systems......Page 24 2. Vectors......Page 54 3. Multiple Coordinate Spaces......Page 102 4. Introduction to Matrices......Page 136 5. Matrices and Linear Transformations......Page 160 6. More on Matrices......Page 184 7. Polar Coordinate Systems......Page 214 8. Rotation in Three Dimensions......Page 240 9. Geometric Primitives......Page 318 10. Mathematical Topics from 3D Graphics......Page 366 11. Mechanics 1: Linear Kinematics and Calculus......Page 502 12. Mechanics 2: Linear and Rotational Dynamics......Page 576 13. Curves in 3D......Page 668 14. Afterword......Page 738 A. Geometric Tests......Page 740 B. Answers to the Exercises......Page 768 Bibliography......Page 824 "This book presents the essential math needed to describe, simulate, and render a 3D world. It provides an introduction to mathematics for game designers, including fundamentals of coordinate spaces, vectors, and matrices, orientation in three dimensions, introduction to calculus and dynamics, graphics, and parametric curves"-- Provided by publisher