THREEDFLYER–While all three of the books you list are good additions to your library (No such thing as a bad addition), I think you are going to be disappointed if your goal is a book to identify case types of military cartridges. The first one is good at telling you what types each country used but has very little for case ID except for a small section at the front of the book. The second one is very good at identifying who the headstamp is, but very poor on telling you what it was used on. I know little about the 3rd one, but I gather from comments made by others that it is not very good.
Here are my suggestions of a few general purpose books to identify military (and other) cartridges:
Huon, Jean. 1988. Military Rifle and Machine Gun Cartridges. Alexandria. Ironside International Publishers. 378p. ISBN: 093555405X (French edition is “collection Decouverte-Loisir-Aventure dirigee par Gerard Courtin”. ISBN: 2851801228 )
Barnes, Frank. Cartridges of the World (Any edition). (Each edition is significantly different in specialised articles). Krause. Northbrook, Illinios. 526p. ISBN: 0-87349-605-1
Lenselink, J. and de Hek, Willem Dirk. 1986. Notes on Small and Medium Caliber Military Cartridges : Vol 1 Cartridges and projectiles in drawings and pictures. Delfia Press. Rijswijk, Netherlands. 201p. ISBN: 9064490503.
Once you get deeper into cartridge collecting there are many specialized books covering just one caliber of military cartridge that will allow you to go further into special load types of, let us say, 7.92x57 Mauser.