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Help on Introduction to Electrodynamics 3rd edition by David J. Griffiths

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Help on "Introduction to Electrodynamics 3rd edition by David J. Griffiths"

I'm studying that book right now, but I'm having a hard time understanding...
Can someone explain what a dirac delta function is and how to use it?
I also don't understand the what is the electrostatic boundary conditions are on page 87...
 

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thank you~
 

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