By David Hestenes

Matrix algebra has been referred to as "the mathematics of upper arithmetic" [Be]. we expect the foundation for a greater mathematics has lengthy been on hand, yet its versatility has hardly ever been preferred, and it has no longer but been built-in into the mainstream of arithmetic. We check with the process more often than not referred to as 'Clifford Algebra', notwithstanding we want the identify 'Geometric Algebm' advised by way of Clifford himself. Many certain algebraic platforms were tailored or built to precise geometric relatives and describe geometric buildings. specifically striking are these algebras which were used for this function in physics, specifically, the method of advanced numbers, the quatemions, matrix algebra, vector, tensor and spinor algebras and the algebra of differential kinds. each one of those geometric algebras has a few major virtue over the others in convinced purposes, so nobody of them presents an sufficient algebraic constitution for all reasons of geometry and physics. whilst, the algebras overlap significantly, in order that they supply numerous various mathematical representations for person geometrical or actual ideas.

**Read or Download Clifford Algebra to Geometric Calculus: A Unified Language for Mathematics and Physics (Fundamental Theories of Physics) by David Hestenes (1987-08-31) PDF**

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