Mathematics for Computer Graphics

  • John Vince

Part of the Undergraduate Topics in Computer Science book series (UTICS)

Table of contents

  1. Front Matter
    Pages I-XVII
  2. John Vince
    Pages 1-2
  3. John Vince
    Pages 3-9
  4. John Vince
    Pages 11-21
  5. John Vince
    Pages 23-31
  6. John Vince
    Pages 33-42
  7. John Vince
    Pages 43-63
  8. John Vince
    Pages 65-120
  9. John Vince
    Pages 121-134
  10. John Vince
    Pages 135-157
  11. John Vince
    Pages 159-201
  12. John Vince
    Pages 203-229
  13. John Vince
    Pages 231-263
  14. John Vince
    Pages 265-317
  15. John Vince
    Pages 319-360
  16. John Vince
    Pages 361-378
  17. John Vince
    Pages 379-379
  18. Back Matter
    Pages 381-391

About this book


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 updated and expanded fourth edition.

The first four chapters revise number sets, algebra, trigonometry and coordinate systems, which are employed in the following chapters on vectors, transforms, interpolation, 3D curves and patches, analytic geometry, and barycentric coordinates. Following this, the reader is introduced to the relatively new topic of geometric algebra, and the last two chapters provide an introduction to differential and integral calculus, with an emphasis on geometry.

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

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

This fourth edition contains over 120 worked examples and over 270 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.


Computer Aided Design (CAD) Computer Animation Computer Games Computer Graphics Mathematic Applications in Computer Science

Authors and affiliations

  • John Vince
    • 1
  1. 1.Bournemouth UniversityBournemouthUnited Kingdom

Bibliographic information

Industry Sectors
IT & Software