A pictorial introduction to differential geometry, leading to Maxwell's equations as three pictures
2017/09/21 by Jonathan Gratus, Gratus, Jonathan · 12 voices
Physics and Astronomy · Mathematics · #Quantum Mechanics and Applications #Relativity and Gravitational Theory #History and Theory of Mathematics
paper · pdf · doi:10.48550/arxiv.1709.08492
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.
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- A pictorial introduction to differential geometry (2017) [hn, 142 points, 5 comments]
- A pictorial introduction to differential geometry (2017) https://arxiv.org/abs/1709.08492 (https://news.ycombinator.com/item?id=48343287) [bsky, 0 points, 0 comments]
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- A pictorial introduction to differential geometry (2017) #HackerNews https://arxiv.org/abs/1709.08492 [bsky, 0 points, 0 comments]
- A pictorial introduction to differential geometry (2017) https://arxiv.org/abs/1709.08492 https://news.ycombinator.com/item?id=48343287 [bsky, 0 points, 0 comments]
- A pictorial introduction to differential geometry (2017) https://arxiv.org/abs/1709.08492 (https://news.ycombinator.com/item?id=48343287) [bsky, 0 points, 0 comments]
- 📰 A pictorial introduction to differential geometry (2017) 🔗 https://arxiv.org/abs/1709.08492 💬 Discuss on HN [bsky, 0 points, 0 comments]
- Explore the captivating world of differential geometry through stunning visuals and insightful commentary. This pictorial introduction offers a unique perspective on complex concepts, making them acce [bsky, 0 points, 0 comments]
- A pictorial introduction to differential geometry (2017) https:// arxiv.org/abs/1709.08492 # arxiv [mastodon, 0 points, 0 comments]
- A pictorial introduction to differential geometry (2017) https:// arxiv.org/abs/1709.08492 # HackerNews # differentialgeometry # pictorialguide # mathematics # arxiv # geometry # education [mastodon, 0 points, 0 comments]
- A pictorial introduction to differential geometry (2017) https://arxiv.org/abs/1709.08492 [bsky, 0 points, 0 comments]
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