ENGLISH

Exterior Algebras: Elementary Tribute to Grassmann’s Ideas

By Vincent Pavan

Book information

Publisher
ISTE Press
Year
2017
ISBN
9780081023488, 0081023480
Language
english
Format
PDF
Filesize
2 MB (1873073 bytes)
Pages
xvi+192\209
Topic
Mathematics Algebra
Time added
2018-09-21 11:02:44
-- 1809-1877;Ausdehnungslehre;Algebra;MATHEMATICSGrassmannHermann

Description

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.  Read more... 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.

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