There are a pair of books, old, called The Crecy War and The Agincourt War which cover the earlier and later parts of the wars. They are relatively inexpensive I believe.
OK, Burn is OK and gives a decent overview but leaves out the sieges etc which is a bit of an oversight. Still, a good primer.
I personally would go with Jonathon Sumption who has produced four masterly works on the HYW. A heavy read but full of details- like the stand off on the marshes of Calais post the Battle of Crecy where the French nearly repeated their collective 'mistake' yet again and very shortly after the battle. Heavy reading and relatively expensive given the usual price of £20 per volume (there are four).
There are a number of other books, I'll do a wee bit of 'digging' to see if I can come across something cheaper than the Sumption volumes.
Cheers,
Darrell.