Mathematics for Computer Graphics

Professor John Vince began working in computer graphics at Middlesex Polytechnic in 1968. His research activities centered on computer animation software and resulted in the PICASO and PRISM animation systems. Whilst at Middlesex, he designed the UK’s first MSc course in Computer Graphics and developed a popular program of short courses in computer animation for television designers. In 1986 he joined Rediffusion Simulation as a Research Consultant and worked on the development of real-time computer systems for commercial flight simulators. In 1992 he was appointed Chief Scientist of Thomson Training Simulation Ltd. In 1995 he was appointed Professor of Digital Media at the National Centre for Computer Animation at Bournemouth University and in 1999 he was made Head of Academic Group for Computer Animation. He was awarded a DSc by Brunel University in recognition of his work in computer graphics. He has written and edited over 45 books on computer graphics, computer animation, computer science and virtual reality, including the following Springer titles: • Calculus for Computer Graphics, 2nd edition (2019) • Mathematics for Computer Graphics, 5th edition (2017)   • Imaginary Mathematics for Computer Science, (2018) • Foundation Mathematics for Computer Science, 2nd edition (2015) • 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 (2011) • Geometric Algebra: An Algebraic System for Computer Animation and Games (2009) • Geometric Algebra for Computer Graphics (2008)

Chapter 1.Introduction.- Chapter 2.Numbers.- Chapter 3.Algebra.- Chapter 4.Trigonometry.- Chapter 5.Coordinate Systems.- Chapter 6.Determinants.- Chapter 7.Vectors.- Chapter 8.Matrices.- Chapter 9.Complex Numbers.- Chapter 10.Geometric Transforms.- Chapter 11.Quaternion Algebra.- Chapter 12.Quaternions in Space.- Chapter 13.Interpolation.- Chapter 14.Curves and Patches.- Chapter 15.Analytic Geometry.- Chapter 16.Statistics.- Chapter 17.Barycentric Coordinates.- Chapter 18.Geometric Algebra.- Chapter 19.Calculus: Derivatives.- Chapter 20.Calculus: Integration.- Chapter 21.Fourier Series.- Chapter 22.Worked Examples.