Prove that $\displaystyle f(z)=z^3$ is uniformly continuous in the region {$\displaystyle {z\in C \mid \mid z \mid < 2 }$}

I do not understand what is the meaning of "uniformly continuous"... I read on wikipedia, but I still do not understand "uniformly continuous" in complex numbers. What theory should I use? How should I start in this case?