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This is a guide to Maxwell's equations which focuses on providing an intuitive / geometric review of some of the main concepts.

The main inspiration for this guide was a video by 3Blue1Brown and it can be found here:

Divergence and Curl: The language of Maxwell's equations, fluid flow, and more

The images illustrating vector fields, as well as the concepts included in the curl and divergence sections were taken directly from the video.

The images shown when explaining the heat equation and partial differential equations were also taken from the video series by 3Blue1Brown called ‘Solving the Heat Equation’ which can be found using the link below:

Solving the Heat Equation

Also, by no means is this a thorough reference! For those wanting a more in depth view of the equations, I'd suggest taking a look at A Student's Guide to Maxwell's Equations by Dan Fleisch, which not only goes into a much more detailed view of the equations, but also includes valuable examples and practice problems!

• Divergence and Curl: The language of Maxwell's equations, fluid flow, and more
• Solving the Heat Equation
• The Feynman Lectures on Physics (Vol 2)
• A Student’s Guide to Maxwell’s Equations
• Why is Maxwell’s theory so hard to understand?
• A Visual Tour of Classical Electromagnetism
• The Physics Hypertexbook: Electromagnetic Waves

Many thanks to Grant Sanderson / 3Blue1Brown for the outstanding material he's made available on his channel, as well as for allowing me to use the images from his videos in presenting some of the topics available within the guide!