## Exterior Algebras

**Author :**Vincent Pavan**Publisher :**Elsevier**Release Date :**2017-05-25**Genre:**Mathematics**Pages :**208**ISBN 10 :**9780081023488

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**Exterior Algebras Excerpt :**

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 Grassmmann'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