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
Undergraduate students, both in theoretical or applied science. They may belong to the field of Mathematics, Computer Science or Physics as well. However the monograph can also hit confirmed researchers who want to get familiar with algebraic techniques they are not used to computing with. Finally, in France, such a topic can also interest people preparing for secondary teaching positions and students preparing for Engineering Schools
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
VP
Vincent Pavan
Vincent Pavan is a lecturer and researcher in the Polytech department at Aix-Marseille University in France. His research focuses on kinetic theory and the Boltzmann equation.
Affiliations and expertise
Vincent Pavan, Aix-Marseille University, FranceRead Exterior Algebras on ScienceDirect