  We describe the quantum sphere of Podle\'{s} for $c=0$ by means of a
stereographic projection which is analogous to that which exhibits the
classical sphere as a complex manifold. We show that the algebra of functions
and the differential calculus on the sphere are covariant under the coaction of
fractional transformations with \SU coefficients as well as under the action of
\SU vector fields. Going to the classical limit we obtain the Poisson sphere.
Finally, we study the invariant integration of functions on the sphere and find
its relation with the translationally invariant integration on the complex
quantum plane.
