Traveller was first published 1977, and was inspired by even older science fiction. While this means that the computer rules used in traveller might feel a bit obsolete, it also means that for some of the books it was inspired by, the copyright has expired. (The computer rules are quite easy to ignore or modify anyway, so that doesn’t matter much.)
At Project Gutenberg, some works that has inspired traveller can be downloaded in several formats that will fit your e-book reader. It is also possible to read them directly on the web.
Here is a suggestion of five books for you to download:
1, Space Viking by H. Beam Piper
In Space Viking, there is a group of planets called Sword Worlds that are named after legendary swords. Doesn’t that seem familiar… The image below of the spherical ships is from the book. They look a lot like the Mercenary Cruisers from traveller.
2, Deathworld by Harry Harrison
Jason dinAlt is the hero of the Deathworld books. In the Traveller Supplement 1, 1001 Characters, you can find his stats as hero #3, the Rapscallion Gambler. Jason dinAlt is skilled in gambling and also has a psionic talent, that can help his gambling. In Traveller, gambling is a skill, and psionics isn’t impossible.
3, Gambler’s World by Keith Laumer
Jame Retief is a Diplomat for the Corps Diplomatique Terrestrienne. In Traveller Supplement 4, Citizens of the Imperium you can find his stats as hero #5.
4, A Princess of Mars by Edgar Rice Burroughs
Hero #1 of the Traveller Supplement 1 is John Carter. In the Solomani Rim (0239), there is a small planet named Barsoom.
5, Triplanetary by E. E. Smith
Triplanetary is a Lensman prequels. Kimball Kinnison of the Lensman series is hero #2 in the Traveller Supplement 1. GDW also published a game called Triplanetary before they published Traveller.
Image from Project Gutenberg. Copyright expired.