Foundation Mathematics for Computer Science

Professor John Vince began working in computer graphics at Middlesex Polytechnic in 1968. His research activities centred 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 programme of short courses in computer animation for television designers. In 1986 he joined Rediffusion Simulation as 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 D.Sc. by Brunel University in recognition of his work in computer graphics. He has written and edited over 50 books on computer graphics, computer animation and virtual reality, including the following Springer titles:

• Mathematics for Computer Graphics (2022)
• Vector Analysis for Computer Graphics (2021)
• Imaginary Mathematics for Computer Science (2018)
• Calculus for Computer Graphics (2013)
• Expanding the Frontiers of Visual Analytics and Visualization (2012)
• Matrix Transforms for Computer Games and Animation (2012)
• Quaternions for Computer Graphics (2011)
• Rotation Transforms for Computer Graphics (2011)

Visual mathematics.- Numbers.- Systems of counting.- Algebra.- Logic.- Combinatorics.- Probability.- Statistics.- Modular arithmetic.- Trigonometry.- Coordinate systems.- Curves.- Determinants.- Vectors.- Equations.- Complex numbers.- The Riemann hypothesis.- Matrices.- Geometric matrix transforms.- Analytic geometry.- Eigenvectors and eigenvalues.- Calculus: Derivatives.- Calculus: Integration.- Area.- Volume.- Fourier series.- Appendix A.- Appendix B.