Exterior Algebras: Elementary Tribute to Grassmann's Ideas

Provides the theoretical basis for exterior computations. It first addresses the important question of constructing (pseudo)-Euclidian Grassmann's algebras. Then, it shows how the latter can be used to treat a few basic, though significant, questions of linear algebra, such as co-linearity, determinant calculus, linear systems analyzing, volumes computations, invariant endomorphism considerations, skew-symmetric operator studies and decompositions, and Hodge conjugation, amongst others.

Presents a self-contained guide that does not require any specific algebraic background

Includes numerous examples and direct applications that are suited for beginners