Affine and convex spaces: blending the analytic and geometric viewpoints

@article{PortaMana2011AffineAC,
  title={Affine and convex spaces: blending the analytic and geometric viewpoints},
  author={PierGianLuca Porta Mana},
  journal={arXiv: Classical Physics},
  year={2011}
}
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. 
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