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):
http://www.lulu.com/shop/nick-lucid/advanced-theoretical-physics-a-historical-perspective/paperback/product-24213421.html
Advanced Theoretical Physics (eBook):
https://gumroad.com/l/ubSc
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VIDEO ANNOTATIONS/CARDS
Electrodynamics Series:
https://www.youtube.com/playlist?list=PLOVL_fPox2K9MtRv68T_cmWwQUbg9YR4F
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RELATED YOUTUBE VIDEOS
3blue1brown on Divergence and Curl:
https://youtu.be/rB83DpBJQsE
Eugene on Divergence and Curl:
https://youtu.be/qOcFJKQPZfo
Khan Academy on Divergence and Curl:
https://youtu.be/c0MR-vWiUPU
https://youtu.be/4yzV8m8X3Kk
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OTHER SOURCES
Code used for fluid flow animations:
https://anvaka.github.io/fieldplay/
https://github.com/anvaka/fieldplay
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LINKS TO COMMENTS
https://www.youtube.com/watch?v=Kbf6H5dwTFc&lc=UgywEkveUxDdZsLAE0J4AaABAg