In this chapter, the case of multidimensional heat conduction is studied. The classic case of a rectangular plate with prescribed wall temperatures in a steady state without thermal energy (heat) generation is studied using the method of separation of variables in Cartesian coordinates x and y. The method is extended to analyze cylindrical geometries. The cases analyzed are illustrated through solved examples. The method of superposition of solutions is presented, which allows combining individual solutions of boundary conditions. In the second part of the chapter, the numerical method of finite differences is presented to solve the general equation of heat conduction. The continuous medium that makes up the solid or surface is discretized into nodal points from which an energy balance allows for establishing the temperature distribution within it. The boundary conditions are also discretized. The method is applied to cartesian and cylindrical coordinate systems with the presentation of solved examples. The chapter ends presenting of the conduction shape factors subject, which allow to solve the heat conduction in some specific geometries.