One of the tactics I have heard is to pay a friend a certain amount at the start of the night. Each new person or group you start talking to they give you come of the money back. What ever is left you friend gets to keep.
I'm not sure that adding more stress would help overcome social anxiety but if you think it will work then it is probably worth a trial run of $150 of $15 per group you say hi to - that must be done in one night. It it works you can start upping the total number of group you have to talk to but keeping the $150 the same.
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A book I would recommend in a related field is "Conceptual Mathematics: A First Introduction to Categories" http://www.amazon.co.uk/Conceptual-Mathematics-First-Introduction-Categories/dp/052171916X
It starts out assuming mathematical knowledge but nothing specific and progresses rapidly. I found it hugely interesting as a piece of general reading (I didn't have a direct purpose for reading the book other than fun).