Mathematics for 3D Game Programming Computer Graphics 1st Edition by Eric Lengyel ISBN 1584500379 978-1584500377
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Product details:
ISBN 10: 1584500379
ISBN 13: 978-1584500377
Author: Eric Lengyel
This book illustrates the mathematical concepts that a game developer would need to develop a professional-quality 3D engine. Although the book is geared toward applications in game development, many of the topics appeal to general interests in 3D graphics. 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 the Taylor series.
Key Features:
* Concentrates on key mathematical topics for programming 3D game engines
* Discusses applications in the context of the OpenGL architecture due to its cross-platform nature and long-standing industry acceptance. Makes references to modern 3D hardware such as GeForce 3 from Nvidia
* Selected topics include Quaternions, Homogeneous Coordinates, Ray Tracing, Bump Mapping, Portal Systems, Polygonal Techniques, Shadows, and Physics
* Includes exercise sets for use as a textbook
Table of contents:
Chapter 0: The Rendering Pipeline
Chapter 1: Vectors
Chapter 2: Matrices
Chapter 3: Transform
Chapter 4: 3D Engine Geometry
Chapter 5: Ray Tracing
Chapter 6: illumination
Chapter 7: Visibility Determination
Chapter 8: Colliision Detection
Chapter 9: Polygonal techniques
Chapter 10: Shadows
Chapter 11: Linear Physics
Chapter 12: Rotational Physics
Chapter 13: Fluid Simulation
Chapter 14: Numerical Methods
Chapter 15: Curves and Surfaces
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Eric Lengyel,Mathematics for 3D,Game Programming,Computer Graphics