If one wants to read a book that will chill you to the core read, “House to House” which involves an Army portion of the fight in Fallujah. Here’s a short write up on it:
One of the great heroes of the Iraq War, Staff Sergeant David Bellavia captures the brutal action and raw intensity of leading his Third Platoon, Alpha Company, into a lethally choreographed kill zone: the booby-trapped, explosive-laden houses of Fallujah’s militant insurgents. Bringing to searing life the terrifying intimacy of hand-to-hand infantry combat, this stunning war memoir features an indelibly drawn cast of characters, not all of whom would make it out of the city alive, as well as chilling accounts of Bellavia’s singular courage: Entering one house alone, he used every weapon at his disposal in the fight of his life against America’s most implacable enemy.
House to House was excellent.
This one provides a solid overview of the entire battle(s).