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.
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