Lightwave's Bandsaw and Band Glue equivalents in Blender?

Are there equivalents for Bandsaw and Band Glue in Blender?

I use these tools a lot in Lightwave, but in Blender I could not even make the selections I wanted to make. I wanted to select loops but the select function reacted unpredictably.

I want to be able to select a band of quads and cut it (Bandsaw), or select two adjacent bands of quads and merge them (Band Glue).

Sounds like Loop Cut + Slide (Ctrl+R) and edge loop delete (select edge loop between the two face rings and X / Edge Loop
To select an edge loop Alt+RMB on an edge in
To select an edge ring Ctrl+Alt+RMB on an edge
To select an face loop Alt+RMB on a face in face select mode.
You should read the wiki to understand the basics of selection and mesh editing in blender

Thanks, that helps!