I'm using the book(AMS) class, with pagestyle "headings".  That gives me
exactly what I need look-wise EXCEPT where it prints the current section
name at the top of the page, I'd like the current *part* name. That's it.

Yes, I'm a newbie, but I've RTFMed enough to realize that I probably have
to switch to the "fancy" pagestyle and insert some magic into the preamble
to get exactly what I'm after, but I can't seem to get all the way there.
Can someone help, or point me to a resource that will show me the way?

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