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