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

Eric Lengyel

Hardcover

ISBN 10: 1435458869 ISBN 13: 9781435458864

Publisher: Cengage Learning PTR, 2011

Synopsis

This updated 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.

The third edition expands upon topics that include projections, shadows, physics, cloth simulation, and numerical methods. All of the illustrations have been updated, and the shader code has been updated to the latest high-level shading language specifications.

About this title

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.

Review

Preface. 1. The Rendering Pipeline. 2. Vectors. 3. Matrices. 4. Transforms. 5. 3D Engine Geometry. 6. Ray Tracing. 7. Illumination. 8. Visibility Determination. 9. Collision Detection. 10. Polygonal Techniques. 11. Shadows. 12. Linear Physics. 13. Rotational Physics. 14. Fluid Simulation. 15. Numerical Methods. 16. Curves and Surfaces. Appendix A: Complex Numbers. Appendix B: Trigonometry Reference. Appendix C: Coordinate Systems. Appendix D: Taylor Series. Appendix E: Answers to Exercises.

Edition details

• Publisher: Cengage Learning PTR
• Publication date: 2011
• ISBN 10: 1435458869
• ISBN 13: 9781435458864
• Binding: Hardcover
• Language: English
• Edition number: 3
• Number of pages: 624