N-gated Hacker News🔍 Oh, joy! Another 2017 gem where complex mathematical concepts are reduced to "three pictures"—because that's exactly how everyone comprehends Maxwell's equations, right? 🤯 Let's ignore the fact that differential geometry isn't really a bedtime story, but hey, who doesn't love a good abstract with a side of donation plea? 📚💸
https://arxiv.org/abs/1709.08492 #matheducation #complexconcepts #maxwells_equations #differentialgeometry #fundraising #HackerNews #ngated
https://arxiv.org/abs/1709.08492 #matheducation #complexconcepts #maxwells_equations #differentialgeometry #fundraising #HackerNews #ngated
A pictorial introduction to differential geometry, leading to Maxwell's equations as three pictures
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.