I know how to upload a cover, but not how to remove a wrong cover.

The Border's Classic Edition of Tess of the D'Urbervilles (ISBN 1-58726-166-9) shows the cover of the Barnes and Noble Classic Edition of the same book.

It's not like lives are riding on this or anything, obviously, but it's bugging me.

You could upload a new cover picture but the cover picture on the PBS listing doesn't have to match the cover that you have.  ISBN, author, title, and binding must match but not the cover picture.

They don't have to match, largely because some ISBNs get reused over multiple editions, i.e. multiple covers for the same ISBN.  Still, there's not necessarily anything wrong with trying to submit a different cover than the one displayed on the listing.  Considering the Borders edition probably has its own ISBN as well as its own cover, it makes sense to try replacing the Barnes and Noble edition's cover from the listing.  Rick, you could try changing the image by way of the Edit Book Data option, including an explanation for your submission in the "Reason for Edit" space.  Don't forget, it can sometimes take a while for edits to go through, so it might just be a matter of patience rather than technique.  Either way, thanks for the effort; PBS relies on its members to help fine tune aspects of the site such as the Book Details pages.  Every little bit helps to make PBS better :)

largely because some ISBNs get reused over multiple editions

Does this bother anyone else?  Sometimes I want a specific cover because it's a newer edition or to match a series or set I already have (what can I say, it looks prettier on the shelf :) ).  I state in my RCs that I want covers to match, because that's usually the case, but occasionally the cover pictured is not the one I want.  Grr.  Just venting a little here.  I understand the publisher's point of view, I understand PBS is kinda stuck in this regard, but it's still frustrating.

Well, in this case, it's not the same ISBN - one's a B&N edition, the other is Border's.

Rick,

Submit the covers and PM one of the Book Image team and let them know that the images are switched.

Sometimes I want a specific cover because it's a newer edition or to match a series or set I already have.....I state in my RCs that I want covers to match, because that's usually the case, but occasionally the cover pictured is not the one I want.

Danyun, it's fine to want a specific cover, but be cautious with this RC.  When the publishers reuse the ISBN's for republishing a book and the cover image is changed for the BOOK, that cover image isn't (most likely) going to be changed here.  The best thing to do would be to contact people regarding the covers of the book to make sure it is the one you want rather than putting a RC in there (IMO).  {Case in point:  I had a series I was looking for and wanting for my keeper-shelf, but I didn't realize the covers had been changed in the republishing.  I got a copy of the book that had a cover image that didn't match the image here at PBS...but I had to accept it that way because everything else about the transaction was fine.  I had to reorder the book and PM the sender to ask about the cover...had to do this a couple of times before I got the cover image I wanted.}  The reason I caution you is simply because I fear you might end up with several cancelled requests because the images aren't matching, and you may get to a point where very FEW of the books you want have matching images here at PBS.  Hope that makes sense.