I recently came across a book entirely devoted to different types of integrals called A Garden of Integrals by Frank Burk. I'm reading through it and it's a pretty good book. Is there some analogous book for different types of derivatives? For example, it might cover: the weak derivative, subderivatives, gradients, Jacobians, Frechet derivatives, Gateaux derivaties, functional derivatives, fractional derivatives, exterior derivatives, Lie derivatives, etc.
I can see why it might be easier to make a book about different types of integrals than different types of derivatives, but I'm still curious if there is such a book. Has anyone come across one?