Castledangerous and Macman hit the nail on the head. Piobaireachd ("pibroch" or "pee-brock") is the classical music of the pipes. There are several different types within this form: salutes, laments, marches and gatherings.

I have the same disc. The tune name is properly: "The Desperate Battle (of the Birds)", or "An Cath Gailbeach" (pronounced 'ahn cahv gale bokh' - aspirate the final 'h'). It's just one example of this form of pipe music.

The recording is just part of the full tune. There are 5 movements beyond what's recorded here. The full tune runs for nearly 11 minutes. A recording of the full tune can be found on John Burgess' "King of the Highland Pipers", track 13. I'm in the process of memorizing this one myself.