"Innovation is hardly considered in economics at all."
Well, you're wrong.* It should, however, be noted that the dominance of this kind of economics may be new to the mainstream. I have only been reading economics textbooks for the last three years.
"Networks and interconnectedness are not considered at all in 'textbook' economic definitions."
Of course they are, for example in every study ever written on globalization, the structure of corporations, corporate governance or insider trading. Or is there some special definition of the terms you're using?
"When agents already have perfect information, why do you need to meet others?"
None of the textbooks in economics (HS and undergraduate courses) or economists I have read assume this to be true, or even a useful approximation for most markets.
"I'd love to see a textbook definition of innovation that comes close to what you have asserted here."
Innovation is used in my textbook as it is in the description of the innovation economics theory. (I don't have it with me now.)
*http://en.wikipedia.org/wiki/Innovation_economics