#Contents# * table of contents {:toc} ## Definition ## Given a [[sequentially Cauchy complete Archimedean ordered field]] $\mathbb{R}$, a __real geometric algebra__ is a $\mathbb{R}$-[[geometric algebra]]. ## See also ## * [[sequentially Cauchy complete Archimedean ordered field]] * [[real vector space]] * [[real Clifford algebra]] * [[directional derivative]] * [[geometric derivative]]