Introduction to Vector Spaces, Vector Algebras, and Vector Geometries

Details Introduction to Vector Spaces, Vector Algebras, and Vector Geometries Introduction to Vector Spaces, Vector Algebras, and Vector Geometries

2011-10-14

arxiv.org/abs/1110.3350v1

Mathematics

History and Overview

Lecture notes in 10 sections for a hypothetical undergraduate course for pure math and mathematical physics students

Scientific paper

An introductory overview of vector spaces, algebras, and linear geometries over an arbitrary commutative field is given. Quotient spaces are emphasized and used in constructing the exterior and the symmetric algebras of a vector space. Affine geometries are introduced and generalized by projective completion. General projective geometries are briefly introduced. Tensor products and multilinear functions are treated. The exterior algebra of a vector space and that of its dual are used in treating linear geometry and Grassmann's regressive product is treated. Scalar product spaces, orthogonality, and the Hodge star based on a general basis are covered.

Affiliated with

Also associated with

No associations

Rating

Introduction to Vector Spaces, Vector Algebras, and Vector Geometries does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Introduction to Vector Spaces, Vector Algebras, and Vector Geometries, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Introduction to Vector Spaces, Vector Algebras, and Vector Geometries will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-687273