Vince J. Mathematics for Computer Graphics 7ed 2025

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Vince J. Mathematics for Computer Graphics 7ed 2025

Textbook in PDF format John Vince explains a comprehensive range of mathematical techniques and problem-solving strategies associated with computer games, computer animation, special effects, virtual reality, CAD and other areas of computer graphics in this completely revised and expanded seventh edition. The first five chapters cover a general introduction, number sets, algebra, trigonometry and coordinate systems, which are employed in the following chapters on determinants, vectors, matrix algebra, complex numbers, geometric transforms, quaternion algebra, quaternions in space, interpolation, statistics, curves and patches, analytical geometry and barycentric coordinates. Following this, the reader is introduced to the relatively new subject of geometric algebra, followed by two chapters that introduce differential and integral calculus. Finally, there are chapters on Fourier analysis and Worked examples. Introduction Numbers Algebra Trigonometry Coordinate Systems Determinants Vectors Matrices Complex Numbers Geometric Transforms Quaternion Algebra Quaternions in Space Interpolation Curves and Patches Analytic Geometry Statistics Barycentric Coordinates Geometric Algebra Calculus: Derivatives Calculus: Integration Fourier Series Worked Examples A Limit of (sin θ)/θ B Integrating cosn θ