TY  - BOOK
AU  - Vince,John
ED  - SpringerLink (Online service)
TI  - Quaternions for Computer Graphics
SN  - 9780857297600
AV  - QA76.9.C62 
U1  - 004 23
PY  - 2011///
CY  - London
PB  - Springer London
KW  - Computer science
KW  - Computer Science
KW  - Arithmetic and Logic Structures
KW  - Mathematical Logic and Formal Languages
KW  - Mathematics of Computing
KW  - Math Applications in Computer Science
N2  - 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
UR  - http://dx.doi.org/10.1007/978-0-85729-760-0
ER  -