Grassmann algebra is a mathematical system which predates vector algebra, and yet is more powerful, subsuming and unifying much of the algebra used by engineers and physicists. It has remained relatively unknown since its discovery around 1832, yet is now emerging as a potential mathematical system for describing such diverse applications as robotic manipulators and fundamental physical theories.
The GrassmannAlgebra package is a computer algebra package written in Mathematica's programming language. It is accompanied by an extensive guide. The package contains useful palettes for quick entry of expressions.