I recently bought this book which is in the Edible Series, it's written by Richard Foss who also owns
www.rumhistory.com.
I found it an enjoyable read and while it doesn't go into the specifics of rum production it does give a great overview of the history of rum. It also has some great anecdotes and includes some great historical quotes including a few sea shanties and songs about rum. It also has a few traditional cocktail recipes including one that calls for a Hot Poker to be used in the mixture!
I've written a mini review on my website if you'd like to know more
http://www.allstarcask.com/rum-a-glo...y-book-review/ or if you'd like to buy it you can find it on Amazon.com here
http://www.amazon.com/Rum-Global-His...dp/1861899262/