Naturally, the book does delve much deeper since it has the liberty and time to go in much depth and the medium allows it (Soderbergh focuses a lot on the love story, and adds a bunch of rhetorical questions and endless staring).
I'd also suggest watching the 1972 film version, which also takes a lot of liberties. Stainslaw Lem even called Tarkovsky (the director) an idiot for what he was doing.
All of them are different (not necessarily a bad thing) but the Soderbergh one is probably the least edifying.
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