The Sony Reader can be used with Springer and ACLS ebooks since these books are in pdf format. It cannot be used with ebrary titles because it doesn't have a web interface.
Because you've saved your book chapter to Documents folder, it will show up on the Sony Reader Menu Screen. Books on the Reader can be sorted by title, author and date. I recommend sorting by date for the quickest access to your new download. Then just scroll to the title and open it.