Ebook: Exterior algebras. Elementary tribute to Grassmann's ideas
Author: Pavan V.
- Genre: Mathematics // Algebra
- Tags: Grassmann Hermann -- 1809-1877., Ausdehnungslehre., Algebra.
- Series: Mathematics and statistics series (ISTE)
- Year: 2017
- Publisher: ISTE Press
- Language: English
- pdf
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 Read more...
Abstract: 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