Title: A pictorial introduction to differential geometry, leading to Maxwell's equations as three pictures,
Abstract: In this article we present pictorially the foundation of differential
geometry which is a crucial tool for multiple areas of physics, notably general
and special relativity, but also mechanics, thermodynamics and solving
differential equations. As all the concepts are presented as pictures, there
are no equations in this article. As such this article may be read by
pre-university students who enjoy physics, mathematics and geometry. However it
will also greatly aid the intuition of an undergraduate and masters students,
learning general relativity and similar courses. It concentrates on the tools
needed to understand Maxwell's equations thus leading to the goal of presenting
Maxwell's equations as 3 pictures.