In writing 2010, Arthur C Clarke had to decide if he was going to sequel his book or the masterpiece that was the movie. He chose the movie and does indicate this before starting the story. The difference here is that 2001 the novel had the stargate on the Saturnian moon, Iapetus. Instead he writes as if the first novel followed the movie completely with the stargate orbiting Jupiter.
The book 2010 is very similar to the movie except for another ship from China landing on Europa and discovering life there just before the "Leonov" russian ship arrives in orbit. The "Tsien" the chinese ship discovers a creature from the ocean on Europa. It's too bad the movie did not include this as i think it would have made great cinema. There are some other chapters on Dave Bowman coming back to earth, visiting an old girlfriend and his mom in a nursing home. I really enjoyed the book as Athur C Clarke is so good at helping us understand the real science behind the story. For this alone i would recommend the book.