Mathematics for Computer Graphics

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.

Mathematics for Computer Graphics covers all of the key areas of the subject, including:

Number sets

Algebra

Trigonometry

Complex numbers

Coordinate systems

Determinants

Vectors

Quaternions

Matrix algebra

Geometric transforms

Interpolation

Curves and surfaces

Analytic geometry

Statistics

Barycentric coordinates

Geometric algebra

Differential calculus

Integral calculus

Fourier analysis

This seventh edition contains approximately 200 worked examples and over 350 colour illustrations, which are central to the author's descriptive writing style. Mathematics for Computer Graphics provides a sound understanding of the mathematics required for computer graphics software and setting the scene for further reading of more advanced books and technical research papers.