Overview
- Covers a broad range of relevant mathematical topics, from algebra to calculus
- Includes over 320 colour illustrations and scores of worked examples
- Takes the reader from humble introductory ideas through to some advanced concepts
- One of the few student texts on introductory mathematics including a chapter on geometric algebra
- Includes supplementary material: sn.pub/extras
Part of the book series: Undergraduate Topics in Computer Science (UTICS)
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Table of contents(18 chapters)
About this book
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 colourillustrations, 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.
Reviews
“The book’s target audience is computer graphics students and professionals in this area. … the information is presented in a minimalist fashion and is very easy to digest. Highly recommended for its crispness and the quality of the material.” (Naga Narayanaswamy, Computing Reviews, July, 2018)
Authors and Affiliations
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Breinton,, United Kingdom
John Vince
About the author
• Mathematics for Computer Graphics (2014)
• Calculus for Computer Graphics (2013)• Matrix Transforms for Computer Games and Animation (2012)
• Expanding the Frontiers of Visual Analytics and Visualization (2012)• Quaternions for Computer Graphics (2011)
• Rotation Transforms for Computer Graphics (2011Bibliographic Information
Book Title: Mathematics for Computer Graphics
Authors: John Vince
Series Title: Undergraduate Topics in Computer Science
DOI: https://doi.org/10.1007/978-1-4471-7336-6
Publisher: Springer London
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: Springer-Verlag London Ltd. 2017
eBook ISBN: 978-1-4471-7336-6Published: 28 August 2017
Series ISSN: 1863-7310
Series E-ISSN: 2197-1781
Edition Number: 5
Number of Pages: XIX, 505
Number of Illustrations: 292 illustrations in colour
Topics: Computer Graphics, Mathematical Applications in Computer Science