Mathematics for 3D Game Programming and Computer Graphics, Third Edition

  • 6h 28m
  • Eric Lengyel
  • Cengage Course PTR
  • 2012

MATHEMATICS FOR 3D GAME PROGRAMMING AND COMPUTER GRAPHICS, THIRD EDITION, illustrates the mathematical concepts that a game developer needs to develop 3D computer graphics and game engines at the professional level. It starts at a fairly basic level in areas such as vector geometry and linear algebra, and then progresses to more advanced topics in 3D programming such as illumination and visibility determination. Particular attention is given to derivations of key results, ensuring that the reader is not forced to endure gaps in the theory. The book assumes a working knowledge of trigonometry and calculus, but also includes sections that review the important tools used from these disciplines, such as trigonometric identities, differential equations, and Taylor series. Each chapter ends with a summary of important concepts and several exercises. This updated third edition expands upon topics that include projections, shadows, physics, cloth simulation, and numerical methods.

About the Author

Eric Lengyel is a veteran of the computer games industry with over 16 years of experience writing game engines. He has a PhD in Computer Science from the University of California at Davis and an MS in Mathematics from Virginia Tech. Eric is the founder of Terathon Software, where he currently leads ongoing development of the C4 Engine.

In this Book

  • The Rendering Pipeline
  • Vectors
  • Matrices
  • Transforms
  • Geometry for 3D Engines
  • Ray Tracing
  • Lighting and Shading
  • Visibility Determination
  • Polygonal Techniques
  • Shadows
  • Curves and Surfaces
  • Collision Detection
  • Linear Physics
  • Rotational Physics
  • Fluid and Cloth Simulation
  • Numerical Methods