Understanding tactics largely comes from doing problems. There are some motifs that one should understand for figuring out when opportunities will arise in games, but if you aren't at the level where you can solve tactical problems at a rather rapid pace then doing problems is the best way to improve.
Chess Mentor has several excellent sets for learning some of the underlying concepts: Pins, Discovered Attacks, Back-Rank, etc. Do the problems and read the associated text to understand the key ideas behind it.
And tactics trainer can give you exposure to some of the tactical problems without telling you which motif it lies in.
As far as the specific books you list I can't tell you which is best, but I think your approach should be to get a lot of practice with tactical problems if you're rating is 1400.
Which of these books would help me UNDERSTAND tactics and not just read " here are 10 problems to solve for pins or forks ? " Learn Chess Tactics by Nunn. Understanding Chess Tactics by Martin Weteschnik. Chess Tactics for Champions. By Polgar. I want to grow in a real understanding of the theory behind tactics. Any ideas? Other books? (My rating is close to 1400.) Stwils