Integral Methods for Calculating the Magnetic Field Intensity for a Cylindrical Permanent Magnet

We are aiming to find the analytical relation that can be used to calculate the magnetic field intensity in a specific point in space that is generated by a cylindrical permanent magnet. The magnetic field intensity will be calculated based on the magnet dimensions and the distance between the magnet and the point we are making the calculation for. We will use Coulomb's equations for calculating the scalar magnetic potential.