Mathematics for Computer Graphics, 5th Edition

John Vince explains a wide range of mathematical techniques and problem-solving strategies associated with computer games, computer animation, virtual reality, CAD and other areas of computer graphics in this completely revised and expanded fifth edition.

The first five chapters cover a general introduction, number sets, algebra, trigonometry and coordinate systems, which are employed in the following chapters on vectors, matrix algebra, transforms, interpolation, curves and patches, analytic geometry and barycentric coordinates. Following this, the reader is introduced to the relatively new topic of geometric algebra, followed by two chapters that introduce differential and integral calculus. Finally, there is a chapter on worked examples.

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

• Number sets
• Algebra
• Trigonometry
• Coordinate systems
• Determinants
• Vectors
• Quaternions
• Matrix algebra
• Geometric transforms
• Interpolation
• Curves and surfaces
• Analytic geometry
• Barycentric coordinates
• Geometric algebra
• Differential calculus
• Integral calculus

This fifth edition contains over 120 worked examples and over 320 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, giving a fascinating insight into the design of computer graphics software and setting the scene for further reading of more advanced books and technical research papers.

Table of Contents

Chapter 1 Introduction
Chapter 2 Numbers
Chapter 3 Algebra
Chapter 4 Trigonometry
Chapter 5 Coordinate Systems
Chapter 6 Determinants
Chapter 7 Vectors
Chapter 8 Matrix Algebra
Chapter 9 Geometric Transforms
Chapter 10 Interpolation
Chapter 11 Curves And Patches
Chapter 12 Analytic Geometry
Chapter 13 Barycentric Coordinates
Chapter 14 Geometric Algebra
Chapter 15 Calculus: Derivatives
Chapter 16 Calculus: Integration
Chapter 17 Worked Examples
Chapter 18 Conclusion
Appendix A Limit of (sinθ)/θ
Appendix B Integrating cosnθ