Affine and convex spaces: blending the analytic and geometric viewpoints
Classical Physics
2019-02-12 v2 History and Overview
General Physics
Quantum Physics
Abstract
This is a short introduction to affine and convex spaces, written especially for physics students. It summarizes different elementary presentations available in the mathematical literature, and blends analytic- and geometric-flavoured presentations. References are also provided, as well as a brief discussion of Grassmann spaces and an example showing the relevance and usefulness of affine spaces in Newtonian physics.
Cite
@article{arxiv.1104.0032,
title = {Affine and convex spaces: blending the analytic and geometric viewpoints},
author = {PierGianLuca Porta Mana},
journal= {arXiv preprint arXiv:1104.0032},
year = {2019}
}
Comments
27 pages, 10 figures. V2: Refined the sectioning, improved discussion of exposed faces, added section on Grassmann spaces