2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/152954We use recent advances in circle packing theory to develop a constructive method for the approximation of an analytic function $F:Ω\to \bold C$ by circle packing maps providing we have only been given $Ω$, $|F'|\big|_Ω$, and the set of critical points of $F$. This extends the earlier result of Ithiel Carter and Burt Rodin [CR] for $F$ with no critical points.Metric GeometryComplex VariablesApproximation of analytic functions with prescribed boundary conditions by circle packing mapstext