While I have to applaud Steven Moffat for his ambition in creating such a complicated time travel plot over 3 years, I can only be disappointed in the overall resolution to the Eleventh Doctor's story arc. Even though you can spend days listing the plot holes, I'd be okay with them if the interactions between the characters actually made much sense or if we were given reason to care about them. River is annoying and Clara is boring. That's not to say it was all bad - the Doctor is a consistently great character and the Amy/Rory arc was satisfying, and watching Tennant, Smith and Hurt's Doctor's play off each other in the 50th Anniversary episode was amazing.
If you didn't spend time drawing diagrams to figure out where exactly in each other's timelines everyone is, you'll be consistently confused from the beginning of Series 6 onwards. If you do spend the time to figure out what's going on, the payoff isn't worth it.
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What examples can you give of books that contain discussions of advanced (graduate or research-level) mathematics, similar to what Greg Egan does in his novels (I suppose the majority of such books are hard sci-fi, though I'm not betting on it)? I'm trying to find out what has already been done in the area.