
Exterior Algebras
Elementary Tribute to Grassmann's Ideas
- 1st Edition - May 23, 2017
- Author: Vincent Pavan
- Language: English
- Hardback ISBN:9 7 8 - 1 - 7 8 5 4 8 - 2 3 7 - 3
- eBook ISBN:9 7 8 - 0 - 0 8 - 1 0 2 3 4 8 - 8
Exterior Algebras: Elementary Tribute to Grassmann's Ideas provides the theoretical basis for exterior computations. It first addresses the important question of construct… Read more
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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
1. Reminders on Linear Algebra
2. Construction of Exterior Algebras
3. Exterior Product Symbol
4. Bases of Exterior Algebras
5. Determinants
6. Pseudo-dot Products
7. Pseudo-Euclidean Algebras
8. Divisibility and Decomposability
9. H-conjugation and Regressive Product
10. Endomorphisms of Exterior Algebras
11. Λ2E Algebra
- Edition: 1
- Published: May 23, 2017
- Language: English
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