This book offers a concise and gentle introduction to finite element programming in Python based on the popular FEniCS software library. Using a series of examples, including the Poisson equation, the equations of linear elasticity, the incompressible Navier-Stokes equations, and systems of nonlinear advection-diffusion-reaction equations, it guides readers through the essential steps to quickly solve a PDE in FEniCS. Topics covered include defining a finite variational problem, setting boundary conditions, solving linear and nonlinear systems, and visualizing solutions while structuring finite element Python programs. This book is open access under a CC BY license.