boards : Common term for the covers of a hardbound book.

dust jacket : A protective and often decorative wrapper, usually made of paper which wraps around the binding of a book.

Fair : is a worn book that has complete text pages (including those with maps or plates) but may lack endpapers, half-title, etc. (which must be noted). Binding, jacket (if any), etc., may also be worn. All defects must be noted. (defined by AB Bookman's Weekly)

inscribed : a short note written by the author or a previous owner in the beginning of a book, generally accompanied by a signature.