What Maths are the most important for Artificial Intelligence? I am just curious about this. Please don't include anything about programming.
 A: We have quite a lot of A.I. on university -- probably because I picked specialization called Artificial Intelligence and Software Engineering. Most of methods that were presented used a lot of optimization e.g. for learning neutral networks. Analysis and linear algebra also played crucial roles. We didn't use much beside that but professionals claim that language of A.I. is statistics but we haven't use it extensively. 
A: Artificial intelligence requires extensive use of decision logic.  The gateway to this type of logic is Turing machine analysis and recursive/primitive recursive functions.  In other words, it really involves the mathematics of the relationship between computability and logic.  Additionally, AI requires statistics (used for decision-making and testing probabilities associated with decision-making, i.e., hypothesis testing) and the mathematics required for engineering.
A: To do computer vision which is a branch of AI you essentially need to understand the unit quaternions, or the related Lie group SO(3). These are mathematical topics par excellence.
