Freeze the book as soon as possible. Place the wet book in a plastic bag and place it in a freezer, spine side down, supported so it will not tip over. Online resources indicate the optimal temperature is -15 degrees Fahrenheit, but a conventional freezer will do in a pinch. Leave the book in the freezer overnight.
Open the cover and dry it with a hair dryer. Move the dryer across the surface of the cover, top to bottom and side to side, inside and out.
Dry the first page with the hair dryer using the same technique.
Continue to the next page when the first page is completely dry, using the same technique.
Stop drying, return the book to the plastic bag, and place the bag in the freezer when the rest of the book starts to thaw. You can begin again once the remaining wet pages have frozen again.
Dry each page individually with a hair dryer, placing the book in a plastic bag and returning it to the freezer when the rest of the book begins to thaw.