You agreed to a License Agreement when you purchased the book. That agreement says that you may use your computer's operating system to move and create copies of the supplied book file to all your own computers and mobile devices, as needed, for your own personal use. Indeed, I highly recommend downloading the book file(s) to the hard drive of your main system, and then distributing it to your other devices from there, as necessary.
All I ask is that you follow the Copyright law, both in practice and spirit: copies you make for your own purposes and convenience are okay, but you cannot distribute copies to others, put copies on Torrent networks, make copies available to an AI engine, or sell copies to others.