Exterior Algebras: Elementary Tribute to Grassmann’s Ideas, (PDF) provides the theoretical basis for exterior computations. It first talks about the important question of constructing (pseudo)-Euclidian Grassmmann’s algebras. Then, it shows how the latter can be used to treat a few basic, though important, questions of linear algebra, such as co-linearity, determinant calculus, linear systems analyzing, invariant endomorphism considerations, volumes computations, skew-symmetric operator studies and decompositions, and Hodge conjugation, amongst others.
- Includes numerous examples and direct applications that are suited for beginners
- Presents a self-contained guide that does not require any specific algebraic background
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