Undergraduate Topics in Computer Science

Mathematics for Computer Graphics

Authors: Vince, John A.

  • One of the few student texts on introductory mathematics including a chapter on geometric algebra
  • Covers a broad range of relevant mathematical topics
  • Includes over one hundred illustrations
  • Contains many worked examples
  • Takes the reader from humble introductory ideas through to some advanced concepts
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eBook $29.99
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  • ISBN 978-1-84996-023-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Download immediately after purchase
About this Textbook

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.

Covering all the mathematical techniques required to resolve geometric problems and design computer programs for computer graphic applications, each chapter explores a specific mathematical topic prior to moving forward into the more advanced areas of matrix transforms, 3D curves and surface patches. Problem-solving techniques using vector analysis and geometric algebra are also discussed.

All the key areas are covered including:

• Numbers

• Algebra

• Trigonometry

• Coordinate geometry

• Transforms

• Vectors

• Curves and surfaces

• Barycentric coordinates

• Analytic geometry.

Plus – and unusually in a student textbook – a chapter on geometric algebra is included.

With plenty of worked examples, the book 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.

About the authors

John Vince has been writing books for 25 years. Previous publications with Springer include:

Geometric Algebra: An Algebraic System for Computer Games and Animation Springer, 2009, ISBN 978-1-84882-378-5

Vector Analysis for Computer Graphics

Springer, 2007, ISBN 978-1-84628-803-6

Mathematics for Computer Graphics

Springer, 2006, ISBN 1-84628-034-6

Introduction to Virtual Reality

Springer, 2004, ISBN 1-85233-739-7

More information can be found at http://www.johnvince.co.uk/

Reviews

From the reviews of the third edition:

“Slim volume could be a computer graphics student’s (and professor’s) next best friend. … the style of writing is crisp and the approach is practical. Although the theory is light, rigorous detailed derivations on each topic, sometimes from more than one approaches are plentiful and characterize the author’s approach throughout the entire book. It is surprising to find really practical mathematics packaged in fewer than 300 pages. For those studying or teaching computer graphics, this book will be a valuable companion to have on hand.” (Anthony J. Duben, ACM Computing Reviews, September, 2010)

Table of contents (14 chapters)

Buy this book

eBook $29.99
price for USA
  • ISBN 978-1-84996-023-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Download immediately after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Mathematics for Computer Graphics
Authors
Series Title
Undergraduate Topics in Computer Science
Copyright
2010
Publisher
Springer-Verlag London
Copyright Holder
Springer-Verlag London
eBook ISBN
978-1-84996-023-6
DOI
10.1007/978-1-84996-023-6
Series ISSN
1863-7310
Edition Number
3
Number of Pages
XV, 293
Topics