A pictorial introduction to differential geometry (2017)

Jonathan Gratus presents a pictorial introduction to differential geometry using 73 figures and no equations, making the subject accessible to pre-university students while also serving as an intuitive guide for undergraduate and graduate students studying general relativity and physics. The paper culminates in expressing Maxwell's equations as three pictures, demonstrating how visual representation can clarify this fundamental tool used across physics disciplines including relativity, mechanics, and thermodynamics.