Agreed with what most of what others have said. I would only add that if you have a bigger purse that could fit your book, it might behoove you to use that as your personal item. It would streamline boarding for you and therefor make the general boarding process faster for everyone. It can be a pain reaching into the carry on for extra stuff before you take your seat, and everyone behind you will be glad all you have to do is put your bag in the overhead and take your seat with your purse. Plus that way you'll have a little bit more luggage space if you need it.
Coats are never counted as carry ons, so just put it with your bag in the overhead or at your feet when you get settled.