Exterior Algebras: Elementary Tribute to Grassmann's Ideas
Vincent Pavan, "Exterior Algebras: Elementary Tribute to Grassmann's Ideas"
2017 | ISBN-10: 1785482378 | 208 pages | PDF | 2 MB
2017 | ISBN-10: 1785482378 | 208 pages | PDF | 2 MB
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