00000cmm a22000004a 4500 UP-99796217611154607 Buklod 20140305091523.0 m go j cr |n |||auu|a 110804s2011 enk u a eng d 9780857297600 (eBook) 0857297600 (eBook) (iLib)UPD-00214604435 DML eng DMLUC T 385 V56 2011eb Vince, John (John A.) Quaternions for computer graphics [electronic resource] John Vince. London New York Springer c2011. 1 online resource (xiv, 140 p.) IP based subscription, on campus and remote access. Access via Electronic Resources of the UPD University Library Website. Sir William Rowan Hamilton was a genius, and will be remembered for his significant contributions to physics and mathematics. The Hamiltonian, which is used in quantum physics to describe the total energy of a system, would have been a major achievement for anyone, but Hamilton also invented quaternions, which paved the way for modern vector analysis. Quaternions are one of the most documented inventions in the history of mathematics, and this book is about their invention, and how they are used to rotate vectors about an arbitrary axis. Apart from introducing the reader to the features of quaternions and their associated algebra, the book provides valuable historical facts that bring the subject alive. Quaternions for Computer Graphics introduces the reader to quaternion algebra by describing concepts of sets, groups, fields and rings. It also includes chapters on imaginary quantities, complex numbers and the complex plane, which are essential to understanding quaternions. The book contains many illustrations and worked examples, which make it essential reading for students, academics, researchers and professional practitioners. Electronic reproduction. New York SpringerLink 2011. Available via World Wide Web through Springerlink. Computer graphics Mathematics. Quaternions. Electronic books. SpringerLink (Online service). Available for University of the Philippines Diliman via Springerlink. Click here to access http://dx.doi.org/10.1007/978-0-85729-760-0 FO Monograph UPD DMLR Electronic Resource