jacket : Sometimes used as another term for dust jacket, a protective and often decorative wrapper, usually made of paper which wraps around the binding of a book

reprint : Any printing of a book which follows the original edition. By definition, a reprint is not a first edition.

Brodart : Generally used to refer to a clear plastic cover that is sometimes added to the dustjacket or outside covering of a book. The name refers to the company by the same name which produces many book repair and archival products.