I actually have 7 or 8 good books on the Falklands War. It is fascinating to me as a conventional war between two somewhat equal opponents in modern times, not too common nowadays.
Hastings' book is good but it does not have the detail of military operations that I like ot see, it is a much broader view. I have ADM Woodward's book (the CO of the fleet that wet down there) and the senior Royal Marine's book. Both are decent but there are limited to their perspectives, good for a serious student but not as stand alone books.
The most enjoyable book I have read on the conflict, and the best from hte Naval Aviation perspective, is
Sea Harrier Over the Falklands by CDR Sharkey Ward. He was one of the Sea Harrier squadron CO's in the war and had three kills (Mirage, Pucara and C-130). He has a little bit of an axe to grind, it seems like much of the battle group leadership did not understand how to use the Harrier, but it is a great read. I bought it on a layover in the UK and I can only find it on Amazon's UK site
http://www.amazon.co.uk/exec/obidos...8994/sr=1-1/ref=sr_1_11_1/026-8976504-1134057
When I get home I will check the rest of my books to see which titles were the better ones.
P.S. He took a few shots at Argentinian T-34C's that were sent out to attack some of the British fleet that was close to the islands (with rocket and gun pods) when they first arrived in the Falklands, he describes the encounter in his book. He was only able to get a short burst off with his cannons but lost them in the clouds. Found out post war that he hit one but the cannon shell failed to explode.
Contrary to the persistant rumor in primary, a T-34C did not shoot down a Harrier. No Harriers were lost in aerial combat.