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Tau Zero
Author: Poul Anderson
Tempted as we were to place this at number one, it's at number three of our top 25 hard science fiction books because this isn't just hard science fiction, it's diamond hard. Challenging to read, and filled with actual mathematics and physics this is hard science fiction at both it's best and most difficult! Even it's title, Tau Zero, is part of an equation that is used throughout the book. Seriously, it's pretty much a textbook with plot. Of course, you're here looking for good hard science fiction novels, so this should be right up your street. Poul Anderson takes a simple premise - a ship that can't stop accelerating - and weaves it into a masterpiece of storytelling and scientific explanations. It's a testament to his skill with the mathematics and principles at hand that what could seem like bullshit in the hands of a lesser writer reads as believable, logical and justifiable science. Just don't attempt this as a light read, and you'll be fine.
Similar Recommendations
If you like Tau Zero, try Timescape by Gregory Benford and The Haertel Scholium by James Blish