Exterior Algebras
Elementary Tribute to Grassmann's Ideas
Nonfiction, Science & Nature, Mathematics, Algebra, Statistics
| Author: | Vincent Pavan | ISBN: | 9780081023488 |
| Publisher: | Elsevier Science | Publication: | May 25, 2017 |
| Imprint: | ISTE Press - Elsevier | Language: | English |
| Author: | Vincent Pavan |
| ISBN: | 9780081023488 |
| Publisher: | Elsevier Science |
| Publication: | May 25, 2017 |
| Imprint: | ISTE Press - Elsevier |
| Language: | English |
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
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
