Media Archive: The desk flanked by two sets of microfiche readers in the room with the safe (it's the southern-most room) that is very close to the Children's Wing door. A battle with raiders may knock the book off the desk; check the floor if there is nothing on the desk.
In the Meresti Service Tunnels, on the table near Robert's bed (the guy who guards the entrance to Family gang encampment). Whilst it is amongst owned goods, the book itself can be taken without a karma penalty.
Entrance floor in a small storage room adjacent to the malfunctioning generator. Behind several yellow metal crates is an metal ladder on top of which is a Nuka-Cola Quantum, book is under the ladder, but apparently inaccessible. Try to throw grenade inside ladder, blast may launch the book to a more accessible place.
Outside the center enterable shack. In a turned over refrigerator to the left of the door.
PCPlayStation 3Xbox 360 The Vault 108 location of Tumblers Today is bugged. The only way to access this book is by wedging an explosive under the stepladder to move it. This is an extremely trial-and-error prone process, as the collision box for the stepladder will prevent you from interacting with it in any way, including the 'grab' button, despite being clearly visible and close enough for taking.
On the PC version, it is straightforward to gain access to this book by simply deleting the stepladder. The console commands below will allow the player to get down behind the boxes and retrieve the book. If the player has not collected the Nuka-Cola Quantum on the stepladder, it will remain floating in the air after the ladder has been deleted.