Exterior Algebra
Authors
Description
From a purely algebraic point of view, Exterior Algebra is the study of alternating multilinear applications and their ramifications. From a geometric point of view, it deals with p-dimensional vectors, which were originally conceived by H. Grassmann. The presentation in this book is elementary and accessible to readers who are familiar with the basic concepts of linear algebra.
Target audience
Higher education
Name: Exterior Algebra
Author(s): e Elon Lages Lima
Pages: 97
Publication: IMPA, 2017
ISBN: 978-85-244-0431-3
Edition: 2
Chapter 1
Permutations and sequences
Chapter 2
Multilinear applications
Exercises
Chapter 3
Alternating multilinear applications
Exercises
Chapter 4
Determinants
Exercises
Chapter 5
Outer product
Exercises
Chapter 6
External shapes
Exercises
Chapter 7
Induced applications
Exercises
Chapter 8
Grassmann’s Algebra
Exercises
Chapter 9
Inner product of r-vectors
Exercises
Chapter 10
Orientation
Exercises
Chapter 11
Inner product
Exercises
Bibliography