Related Searches     Quaternions, in mathematics, are a non-
commutative extension of complex numbers. They were first
described by the Irish mathematician Sir William Rowan Hamilton
in 1843 and applied to mechanics in three-dimensional space.
They find uses in both theoretical and applied mathematics, in
particular for calculations involving three-dimensional
rotations, such as in 3D computer graphics, although they have
been superseded in many applications by vectors and matrices.
In modern language, quaternions form a 4-dimensional normed
division algebra over the real numbers. The algebra of
quaternions is often denoted by H (for Hamilton), or in
blackboard bold by mathbb{H} (Unicode ℍ). It can also be given
by the Clifford algebra classifications C0,2(R) = C03,0(R). The
algebra H holds a special place in analysis since, according to
the Frobenius theorem, it is one of only three finite-
dimensional division rings containing the real numbers as a
subring.   Quaternions were introduced by Irish mathematicia