Here is a list of The Space Odyssey Books in Order.
2001: A Space Odyssey (1968)
From the blurb:
From the savannas of Africa at the dawn of mankind to the rings of Saturn as man ventures to the outer rim of our solar system, 2001: A Space Odyssey is a journey unlike any other.
This allegory about humanity’s exploration of the universe—and the universe’s reaction to humanity—is a hallmark achievement in storytelling that follows the crew of the spacecraft Discovery as they embark on a mission to Saturn. Their vessel is controlled by HAL 9000, an artificially intelligent supercomputer capable of the highest level of cognitive functioning that rivals—and perhaps threatens—the human mind.…
2010: Odyssey Two (1982)
From the blurb:
Nine years after the disastrous Discovery mission to Jupiter in 2001, a joint U.S.-Soviet expedition sets out to rendezvous with the derelict spacecraft—to search the memory banks of the mutinous computer HAL 9000 for clues to what went wrong…and what became of Commander Dave Bowman...
2061: Odyssey Three (1989)
From the blurb:
Now, in 2061: Odyssey Three, Arthur C. Clarke revisits the most famous future ever imagined, as two expeditions into space are inextricably tangled by human necessity and the immutable laws of physics. And Heywood Floyd, survivor of two previous encounters with the mysterious monoliths, must once again confront Dave Bowman—or whatever Bowman has become—a newly independent HAL, and the power of an alien race that has decided Mankind is to play a part in the evolution of the galaxy whether it wishes to or not.…
3001: The Final Odyssey (1999)
From the blurb:
When Frank Poole, whose body has been frozen in deep space for 1000 years, is resurrected, his second life brings him enlightening culture shocks a-plenty, but his Odyssey eventually leads him to defy the limitless power of an alien technology. The final sequel to 2001: A Space Odyssey.
