If you have data gathered in one coordinate system and want to express them in terms of a different coordinate system, you probably would use a translation vector and a rotation matrix. You can, ...

The story of William Rowan Hamilton’s discovery of new four-dimensional numbers called quaternions is familiar. The solution of a problem that had bothered him for years occurred to him in a flash of ...

HAVING a vivid recollection of the pleasure I derived born Prof. Gibbs's attacks upon the quaternionic system in the rather one-sided discussion that took place about two years ago in this journal, I ...

Irish physicist, astronomer, and mathematician Sir William Rowan Hamilton introduced quaternions, a non-commutative extension of complex numbers, on October 16, 1843. Benjamin Olinde Rodrigues had ...

FOR many years Hamilton's “Lectures” and “Elements” have been out of print, and the ardent student of quaternions was oftentimes unable to secure a copy of either of these great classics. Prof. Tait's ...