  Theory of representations of F-algebra is a natural development of the theory
of F-algebra. Exploring of morphisms of the representation leads to the
concepts of generating set and basis of representation. In the book I
considered the notion of tower of representations of F_i-algebras, i=1, ..., n,
as the set of coordinated representations of F_i-algebras.
  I explore the geometry of affine space as example of tower of
representations. Exploration of curvilinear coordinates allows us to see how
look at the main structures of the manifold with affine connection. I explore
Euclidean space over division ring.
