Vincent Pavan
Exterior Algebras
Elementary Tribute to Grassmann's Ideas
Gebonden Engels 2017 9781785482373Levertijd ± 9 werkdagen
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Samenvatting
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.
Specificaties
ISBN13:9781785482373
Taal:Engels
Bindwijze:Gebonden
Aantal pagina's:208
Uitgever:Elsevier Science
Thema:
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Inhoudsopgave
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
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
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