It is very definitely based on ideas from Asimov's books (along with a small pile of other inspirations – the clone emperors arguing amongst themselves reminds me a lot of Ann Leckie's Ancillary series).
The adaptation is very lose, but to say it has nothing in common beyond names is unfair.
I'm enjoying it (though not massively “wow”ed). A very accurate rendition of those works really would not make good TV, so I wasn't expecting it to be close to the original.
I think the only "accurate" adaptation would have been a Ken Burns style documentary of mostly someone reading out Encyclopedia Galactica articles, personal letters, and long slow pans of paintings of events because any "footage" was lost. There's probably an audience for that. It's probably a smaller niche audience than the adaptation we are getting.
The adaptation is very lose, but to say it has nothing in common beyond names is unfair.
I'm enjoying it (though not massively “wow”ed). A very accurate rendition of those works really would not make good TV, so I wasn't expecting it to be close to the original.