Quaternion

From Simple English Wikipedia, the free encyclopedia
Jump to navigation Jump to search
Quaternion multiplication table
1 i j k
1 1 i j k
i i −1 k j
j j k −1 i
k k j i −1
Cayley Q8 graph showing the 6 cycles of multiplication by i, j and k. (In the SVG file, hover over or click a cycle to highlight it.)

In mathematics, the quaternion number system extends the complex numbers. They were first described by Irish mathematician William Rowan Hamilton in 1843.[1][2]

References[change | change source]

  1. "On Quaternions; or on a new System of Imaginaries in Algebra". Letter to John T. Graves. 17 October 1843.
  2. Rozenfelʹd, Boris Abramovich (1988). The history of non-euclidean geometry: Evolution of the concept of a geometric space. Springer. p. 385. ISBN 9780387964584.

Other websites[change | change source]