That could be a trick question you know. On the outside, books can do nothing at all to save your marriage after cheating. They are objects that do nothing. However, if you open the pages, read them well, and apply the lessons they teach, then yes, the right books can help your save your marriage even after cheating. The problem is that there are a lot of "ifs" in that equation.
The better question to ask is: What can YOU do to help books save your marriage after cheating? See the difference? It's a subtle difference but it really does always come down to YOU.
You can use books to save help you save your marriage after cheating. You better believe you can. Books can teach a lot of important lessons that will help you change your ways and mend your marriage. The key is in finding the right books that address the specific problems you are facing.
For some people general books offer a little bit of information on a wide range of topics that will help you fix problems in your marriage that may have led up to the cheating. If you fix those problems it's fairly safe to assume that you will not be quite as tempted to cheat again in the future.
Of course for some couples it's not that cut and dried. Some couples know that something in the marriage is missing but have no idea how to brainstorm properly in order to pinpoint what that one thing is. These couples may need books that address communication problems in the marriage. When you learn how to communicate effectively with one another you may be able to work together to find out what is needed on both sides of the equation for happiness and how to give it to each other.
Then there are other books that focus on a religious or spiritual healing or cleansing in the marriage. For some couples these books are the solution. They believe deeply in their designated religions and need healing for their marriage to have a religious sort of "blessing" attached to it especially since there was infidelity involved.
There is no one absolute right or wrong book to bring healing to your marriage at a time like this. If you really want to save your marriage after cheating though it's not the book that matters so much as YOUR interpretation and application of the lessons that are taught within the pages of the book.