Vincent Pavan
Exterior Algebras
Elementary Tribute to Grassmann's Ideas
Gebonden Engels 2017 9781785482373Levertijd ongeveer 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.
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Inhoudsopgave
<p>1. Reminders on Linear Algebra<br>2. Construction of Exterior Algebras<br>3. Exterior Product Symbol<br>4. Bases of Exterior Algebras<br>5. Determinants<br>6. Pseudo-dot Products<br>7. Pseudo-Euclidean Algebras<br>8. Divisibility and Decomposability<br>9. H-conjugation and Regressive Product<br>10. Endomorphisms of Exterior Algebras<br>11. Λ2E Algebra</p>
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