I watched Edge of Tomorrow first and read the manga before I started reading the book. Honestly, the manga followed the novel more faithfully than Edge of Tomorrow did but they're all good adaptation of this YA dystopia/scifi military novel. Yes, the title is grammatically problematic and I know many would see it and hiss and hey, I'm not grammatical perfect or live in a pure English medium environment either so I'm okay with it. Then again, I don't particularly care about proper grammars while I was writing reviews either... 
 If you watch too many anime and read a lot of manga to early and you kinda predict the story a bit. Its about a newbie teenage soldier who got himself in a timeloop from the monsters he killed. Then he reprised Groundhog Day with the loop resetting every single times he was killed. There's also so philosophical bit about war and living and dying and it was pretty much a character driven story. 
 Personally this story deserve the title "Looper" than that Bruce Willis/Joseph Gordon-Levitt's movie. Since the manga borrowed heavily from the novel, I did skim some of the repetitive things just to get ahead of the storytelling. There was a lot of exposition but if it helps, reminded me of Starship Troopers and Battlestar Galactica. Of course, there's these set random moe female characters which Edge of Tomorrow improved particularly with Rita Vrataski. But what surprised me even more was the amount of diverse characters in the story and it was a pretty diverse book and aren't quite masculine heavy as one would aspect from a military fiction. 
 I read the translation version because since while I can read Japanese, my Japanese aren't that good enough for me to read any full length novels. But I do find parts where some paragraphs translates into pure nonsense with a lot of exaggerated dialogues and conventional replacements translators usually. So, if you can, read it in the original language.