I believe it would be easier and more effective to repair it with 2" wide scotchtape. I have repaired many books successfully with this.
get the strongest glue in you town and then glue it back together
Elmer's now makes Elmer's China and Glass Glue.
glue
Super Glue.
if the binding / back is solid, simply glue the back of the section with elmers glue and put it back with the book closed. Put enough glue on the back to do the job but don't overdo it with gobs of glue or it will run out onto the sections on either side. If the binding is loose and 'bows out' when you open the book, squirt the glue down there and swish it around with a model paint brush then close it up (put a little glue on the back of the section if the squirted glue didn't cover much of it) Close the book with a weight and shove it against the wall to press the back of the binding shut if it won't stay closed.
Use wood glue for wood to wood, to glue a cabinet back together you need to remove the old glue so that you have a clean wood to wood contact if this can't be done you can use epoxy glue, go to your local hardware store ask for help and tell them what you are working on and they will help on the type of glue you need.
glue it back together or tell the truth that you broke it.
To effectively glue stone back together, use a strong adhesive specifically designed for stone, such as epoxy or cyanoacrylate glue. Clean the surfaces to be glued thoroughly, apply the adhesive according to the manufacturer's instructions, and press the pieces together firmly. Allow the glue to cure completely before handling the repaired stone.
you could use rubber glue or tie it back together, DONT Stick IT IN THE MICROWAVE!!
J B Weld or a similar epoxy.
elmers white glue works best! brush onto both halves, put together and secure with tape or rubber bands.
Hot Glue It Back Together