On the desktop site, open the header and click Edit for the bookshelves. Next to a shelf, you can find a Rename Link that will allow you to rename it.

Navigate to your My Books page.Click Edit and select the appropriate field to edit.Review and update as necessary, then select Save Changes or I’m Done.

Tap the “Bookshelf” icon in the bottom of your screen to select the bookshelf you want to remove. Tap the settings icon on the upper right corner of your screen, then tap delete bookshelf and agree with deleting it when prompted.