Exterior Algebras

Elementary Tribute to Grassmann's Ideas
Erscheinungsjahr 2017
ISBN: 978-1-78548-237-3
Verlag: Elsevier Science

Buch, Englisch, 208 Seiten, Format (B × H): 155 mm x 231 mm, Gewicht: 499 g

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.

Zielgruppe

the monograph is targeted for 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.

Autoren/Hrsg.

Pavan, Vincent

Fachgebiete

• Mathematik | Informatik Mathematik Algebra

Inhaltsverzeichnis

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. ?2E Algebra

Über Autor(innen)

Pavan, Vincent
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.