Exterior Algebras

Exterior Algebras

Elementary Tribute to Grassmann's Ideas

1st Edition - May 23, 2017

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  • Author: Vincent Pavan
  • eBook ISBN: 9780081023488
  • Hardcover ISBN: 9781785482373

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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.

Key Features

  • Presents a self-contained guide that does not require any specific algebraic background
  • Includes numerous examples and direct applications that are suited for beginners


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

Table of Contents

  • 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. Λ2E Algebra

Product details

  • No. of pages: 208
  • Language: English
  • Copyright: © ISTE Press - Elsevier 2017
  • Published: May 23, 2017
  • Imprint: ISTE Press - Elsevier
  • eBook ISBN: 9780081023488
  • Hardcover ISBN: 9781785482373

About the Author

Vincent Pavan

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.

Affiliations and Expertise

Vincent Pavan, Aix-Marseille University, France

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