  A map $f: \ff^n \to \ff^n$ over a field $\ff$ is called affine if it is of
the form $f(x)=Ax+b$, where the matrix $A \in \ff^{n\times n}$ is called the
linear part of affine map and $b \in \ff^n$.
  The affine maps over $\ff=\rr$ or $\cc$ are investigated. We prove that
affine maps having fixed points are topologically conjugate if and only if
their linear parts are topologically conjugate. If affine maps have no fixed
points and $n=1$ or 2, then they are topologically conjugate if and only if
their linear parts are either both singular or both non-singular. Thus we
obtain classification up to topological conjugacy of affine maps from $\ff^n$
to $\ff^n$, where $\ff=\rr$ or $\cc$, $n\leq 2$.
