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 backgroundIncludes numerous examples and direct applications that are suited for beginners INDICE: 1. Linear Algebra 2. External algebras via the resolution of a universal problem 3. The construction of the outer product between elements of external algebras 4. Establishment of the bases of external algebras 5. The determinants 6. The notion of scalar pseudo-product 7. The scalar pseudo-products of the vector space to its exterior algebras 8. The divisibility and decomposability of external algebra elements 9. The conjugation of Hodge 10. Endomorphisms of external algebra 11. The outer algebra of degree two
- ISBN: 978-1-78548-237-3
- Editorial: ISTE Press - Elsevier
- Encuadernacion: Cartoné
- Páginas: 208
- Fecha Publicación: 01/06/2017
- Nº Volúmenes: 1
- Idioma: Inglés
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- MATEMÁTICAS /
- ÁLGEBRA