Uploaded August 2019 | Updated September 2026, 3 weeks ago
Maxwell's equation are written in the language of vector calculus, specifically divergence and curl. Understanding how the electromagnetic field works requires we also understand that language. Unfortunately, symbols can be ugly, so let's try some dynamic visuals instead.
Advanced Theoretical Physics (Paperback):
lulu.com/shop/nick-lucid/advanced-theoretical-physics-a-historical-perspective/paperback/product-24213421.html
Advanced Theoretical Physics (eBook):
gumroad.com/l/ubSc
________________________________
VIDEO ANNOTATIONS/CARDS
Electrodynamics Series:
youtube.com/playlist?list=PLOVL_fPox2K9MtRv68T_cmWwQUbg9YR4F
________________________________
RELATED YOUTUBE VIDEOS
3blue1brown on Divergence and Curl:
youtu.be/rB83DpBJQsE
Eugene on Divergence and Curl:
youtu.be/qOcFJKQPZfo
Khan Academy on Divergence and Curl:
youtu.be/c0MR-vWiUPU
youtu.be/4yzV8m8X3Kk
________________________________
SUPPORT THE SCIENCE ASYLUM
Patreon:
patreon.com/ScienceAsylum
Merchandise:
scienceasylum.com
________________________________
HUGE THANK YOU TO THESE PATRONS
Warden of the Asylum:
YDT
Asylum Counselors:
Matthew O'Connor
Asylum Orderlies:
Daniel Bahr, William Morton, LT MarshMan, TheBonertronicPeewormExtravaganza
Einsteinium Crazies:
Albert B. Cannon, Wacky, Ken Davis, Ilya Yashin, Eoin O'Sullivan
Plutonium Crazies:
JKLMN Anderson, Al Davis, Kevin MacLean
Platinum Crazies:
Stephen Blinn, Fletch, Felipe Cruz, Eugene Boone, Vittorio Monaco, Mikayla Eckel Cifrese
________________________________
OTHER SOURCES
Code used for fluid flow animations:
anvaka.github.io/fieldplay
github.com/anvaka/fieldplay
________________________________
LINKS TO COMMENTS
youtube.com/watch?v=Kbf6H5dwTFc&lc=UgywEkveUxDdZsLAE0J4AaABAg
Maxwell's equation are written in the language of vector calculus, specifically divergence and curl. Understanding how the electromagnetic field works requires we also understand that language. Unfortunately, symbols can be ugly, so let's try some dynamic visuals instead.
Advanced Theoretical Physics (Paperback):
lulu.com/shop/nick-lucid/advanced-theoretical-physics-a-historical-perspective/paperback/product-24213421.html
Advanced Theoretical Physics (eBook):
gumroad.com/l/ubSc
________________________________
VIDEO ANNOTATIONS/CARDS
Electrodynamics Series:
youtube.com/playlist?list=PLOVL_fPox2K9MtRv68T_cmWwQUbg9YR4F
________________________________
RELATED YOUTUBE VIDEOS
3blue1brown on Divergence and Curl:
youtu.be/rB83DpBJQsE
Eugene on Divergence and Curl:
youtu.be/qOcFJKQPZfo
Khan Academy on Divergence and Curl:
youtu.be/c0MR-vWiUPU
youtu.be/4yzV8m8X3Kk
________________________________
SUPPORT THE SCIENCE ASYLUM
Patreon:
patreon.com/ScienceAsylum
Merchandise:
scienceasylum.com
________________________________
HUGE THANK YOU TO THESE PATRONS
Warden of the Asylum:
YDT
Asylum Counselors:
Matthew O'Connor
Asylum Orderlies:
Daniel Bahr, William Morton, LT MarshMan, TheBonertronicPeewormExtravaganza
Einsteinium Crazies:
Albert B. Cannon, Wacky, Ken Davis, Ilya Yashin, Eoin O'Sullivan
Plutonium Crazies:
JKLMN Anderson, Al Davis, Kevin MacLean
Platinum Crazies:
Stephen Blinn, Fletch, Felipe Cruz, Eugene Boone, Vittorio Monaco, Mikayla Eckel Cifrese
________________________________
OTHER SOURCES
Code used for fluid flow animations:
anvaka.github.io/fieldplay
github.com/anvaka/fieldplay
________________________________
LINKS TO COMMENTS
youtube.com/watch?v=Kbf6H5dwTFc&lc=UgywEkveUxDdZsLAE0J4AaABAg

![Could Flatland Be CURVED?!
Measuring the curvature of a space takes parallel transport and the Riemann curvature tensor (General Relativity). Lets explore this using Flatland and Lineland, an old tool involving lower-dimensional spaces. Brilliant for 20% off: http://brilliant.org/ScienceAsylum
VIDEO ANNOTATIONS/CARDS
The Ultimate Guide to Relativity:
https://youtu.be/FdWMM6aXpYE
What the HECK is a Tensor?!?
https://youtu.be/bpG3gqDM80w
How Elastic is the Fabric of the Universe?
https://youtu.be/DDwlDZidLSg
RELATED YOUTUBE VIDEOS
PBS Space Time on Space Curvature:
https://youtu.be/D3GVVkPb3OI
Flatland by Carl Sagan:
https://youtu.be/N0WjV6MmCyM
Flatland by What The Bleep?
https://youtu.be/sEVEKL1Fbx0
SUPPORT THE SCIENCE ASYLUM
Patreon:
http://www.patreon.com/ScienceAsylum
Advanced Theoretical Physics (Paperback):
http://www.lulu.com/shop/nick-lucid/advanced-theoretical-physics-a-historical-perspective/paperback/product-24250687.html
Advanced Theoretical Physics (eBook):
https://gumroad.com/l/ubSc
Merchandise:
https://www.scienceasylum.com
HUGE THANK YOU TO THESE PATRONS
Warden of the Asylum:
[Available]
Asylum Counselors:
Matthew OConnor, Nikolaos Vasiloglou II
Asylum Orderlies:
William Morton, Fabio Manzini
Einsteinium Crazies:
Wacky, Eoin OSullivan, Ken Davis, LT Marshall, Ilya Yashin
Plutonium Crazies:
Al Davis, Compuart, Ellis Hall, Kevin MacLean, Randall Sylvia
Platinum Crazies:
Olga Cooperman, Kyle Bowles, Zein Kassim, Rick Dinning, Eugene Boone, Jon Adams, Mr. Orn Jonasar, Vittorio Monaco, Stephen Blinn, Mikayla Eckel Cifrese, Jonathan Reel
OTHER SOURCES
http://www.physics.ucc.ie/apeer/PY4112/Curvature.pdf
https://web.stanford.edu/~oas/SI/SRGR/notes/SRGRLect8_2012.pdf
https://www.asc.ohio-state.edu/mathur.16/grsolprob3.pdf
http://www.physics.usu.edu/Wheeler/GenRel/Lectures/2Sphere.pdf
https://www.preposterousuniverse.com/grnotes/
LINKS TO COMMENTS
https://www.youtube.com/watch?v=DDwlDZidLSg&lc=UgxQxbcX2bKf48i60oR4AaABAg
https://www.youtube.com/watch?v=DDwlDZidLSg&lc=UgxYGriPCFHfKBa37OF4AaABAg
https://www.youtube.com/watch?v=DDwlDZidLSg&lc=UgyakYv7jNKAaujfrWd4AaABAg
IMAGE CREDITS
Earth by GOES-16:
https://www.nesdis.noaa.gov/content/goes-16-color-composite-images Could Flatland Be CURVED?!](https://i.ytimg.com/vi/WcCsELqZnE0/mqdefault.jpg)








