Clifford Algebra

Clifford algebra (also known as geometric algebra) is named after the English mathematician William Kingdon Clifford (1845–1879), who made significant contributions to algebra and geometry1 in a brilliant but tragically brief career (he died of tuberculosis, possibly exacerbated by his rigorous work schedule). Clifford algebra provides a systematic framework for generalizing the known algebras of complex numbers and quaternions to any number of dimensions. For a more comprehensive discussion of its methods and diverse applications in science and engineering, see [30, 133, 134, 238, 310].