Author Tip #1: If your book is available in e-Book format you should promote that! e-Book readers are surpassing other readers because of the availability & easy access on digital devices such as smart phones and tablets. Make sure you post a direct link to where YOUR e-Book can be purchased & downloaded!
Author Tip #2: There are many book clubs that have Facebook groups and Facebook pages. Do a little research and connect with book clubs that have readers who would be interested in your book. Offer them a free preview chapter!
Author Tip #3 - Ensure that you utilize your Facebook cover image to your advantage by adding a graphic that includes your book cover or the title of your book! When someone visits your personal or author page, they should know right away that you are a published author. Don't make them hunt for this information!
Best regards!
Sharvette Mitchell
http://mitchell-productions.com/blog/view/479/3_tips_for_authors_on_facebook_