As mrmikel said, calibre is available for linux, install from calibre's website. Wine is only required for programs that aren't already available for linux.
Once installed, you can launch Edit Book like any other program, as well as through calibre's interface by selecting a book in calibre and either clicking the shortcut key "T" or selecting Edit book from the right-click menu.
@mrmikel I agree Unity is a disaster

although it's not that it's difficult to figure out, the way I see it, it's just that it looks stupid and doesn't give you many of the options the old interface did. For example, try creating a new application launcher. In Windows you can make a shortcut file to the program, likewise in linux you used to be able to open the Menu editor and fill in a few lines -- or using the Open With menu, you could choose the command to run to open it, and it created a launcher. Now you are limited to creating a launcher BY HAND in the text editor, which of course would explain how Ubuntu is the "User-friendly linux for beginners", right?
I would just install the MATE desktop -- which isn't a user-friendly-for-beginners suggestion either, but does get rid of
my frustration, at least -- or just install Linux Mint.