Committee login






Small thumbnail

Dynamics of Large Structures and Inverse Problems

Mathematical and Mechanical Engineering Set – Volume 5

Small thumbnail

Civil Engineering Structures According to the Eurocodes

Small thumbnail

Swelling Concrete in Dams and Hydraulic Structures

DSC 2017

Small thumbnail

Earthquake Occurrence

Short- and Long-term Models and their Validation

Small thumbnail

The Chemostat

Mathematical Theory of Microorganims Cultures

Small thumbnail

From Prognostics and Health Systems Management to Predictive Maintenance 2

Knowledge, Traceability and Decision

Small thumbnail

First Hitting Time Regression Models

Lifetime Data Analysis Based on Underlying Stochastic Processes

Small thumbnail

The Innovative Company

An Ill-defined Object

Small thumbnail

Reading and Writing Knowledge in Scientific Communities

Digital Humanities and Knowledge Construction

Small thumbnail

Going Past Limits To Growth

A Report to the Club of Rome EU-Chapter

Small thumbnail

Exterior Algebras

Elementary Tribute to Grassmann's Ideas

Vincent Pavan, Aix-Marseille University, France

ISBN: 9781785482373

Publication Date: May 2017   Hardback   208 pp.

130.00 USD

Add to cart




Exterior algebras have two key characteristics: they are relatively unknown and essential to linear algebra. Since being theorized by Grassmann in 1844, they have remained tragically forgotten.
This book presents the construction and use of exterior algebra calculations in an elementary and progressive manner. Aimed at students, teachers as well as other users of algebraic calculations – physicians, computer scientists or mathematicians – the author shows how the construction of exterior products not only allows us to simplify classic algebra problems, but also to construct a framework of considerations on antisymmetry.
From the re-writing of common properties of factors and considerations on the volumes of polytopes, to the inversion of operators and the Hodge conjecture, this book is a modest and respectful tribute, aimed at spreading Grassman’s ideas.


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. A2E Algebra.

About the Authors

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.


DownloadTable of Contents - PDF File - 145 Kb

0.01516 s.