Mathematics For 3D Game Programming And Computer Graphics
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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.