Yeah, I think that the way to go is to use a one word description of the strategy involved in the build with the mage type included for clarity. That's how I describe them. As was mentioned in this thread, and said by me many times, the best spell books are going to be well rounded, but they will still probably have an overall strategy that they will be focused on to win so that can be used to describe them.
Here are the basic strategies that I see right now:
Rush (usually meaning an in your face mage who will seek to melee/blast you very aggressively)
Swarm (summoning lots of creatures to try and overwhelm)
Turtle (like a Temple build or a ranged build)
Control (more of a catch all strategy, like mana denial, movement lockdown, etc)
Hybrid (a well rounded build, meaning that it can do two or more of the above strategies)
So we could classify spell books like "Wizard Control", "Beastmaster Rush" or "Priestess Hybrid (Turtle/Control)".
Thoughts? Any other core strategies I'm missing?