Provides the theoretical basis for exterior computations, first addresses the important question of constructing (pseudo)-Euclidian Grassmmann's algebras
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
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.
"This book covers a lot of ground and will be welcomed by specialists. Although the author describes this book as an `elementary' tribute to Grassmann's ideas, it is not an easy book to read. On the other hand, the proofs are complete and the discussions are comprehensive." --Zentralblatt MATH 1377 "It is marvelous that Pavan has undertaken to present such a thorough treatment of Grassmann's work, both because of its intrinsic elegance and because of its utility across mathematics, especially in differential geometry. It is a solid work of scholarship as well as pedagogy." --MAA Reviews