MyLibraryList Free app for iPhone and iPad
Developer: David OBrien
First release : 29 Apr 2014
App size: 7.4 Mb
MyLibraryList stores your list of Library Books and shows them in the order they would be found on the shelf! It supports an unlimited number of libraries or sections in a library and uses the Dewey Decimal Classification system just like most libraries around the world. No more wondering where in the library you can find the next book on your list!
The ability to lookup the Dewey Decimal Code has now been added. While not as accurate as using your library search to do so, this will at least let you know which shelves are likely to contain your book.
http://isbndb.com is also a useful search engine which allows looking up ISBN and DDC based on book titles, authors, etc. This app and the developer are not affiliated in any way with the ISBNDB website.