Introduction to bump functions/ mollifiers

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I want to introduce a small perturbation into a particular point of a smooth function, and then, use bumo functions to smooth out the perturbed function. Could any of you recommend a good introduction/ examples which I could use to self tutor myself on the job at hand? I have undergraduate level introduction to real analysis and calculus.

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See Evans, Partial Differential equations, page 264. I assume Folland's book should also have this as it is quite standard.