You can picture the behavior of an AND operation with the switch model and register the result Q in the truth table...

In logic equations the operator \(\wedge\) is used for the AND operation... $$Q = A \wedge B$$ (Speaking: A and B). 
With the CMOS IC 4081, you build an AND operation...
Logical Product Mathematically the AND operation is similar to the multiplication and is therefore also known as logical product. Therefore, you will find variations of the logic equations... $$A \wedge B \equiv A \cdot B \equiv AB$$ 
Next the OR operation...