Note.
A mathematician's idea of "applied" and a normal person's idea of the same bear little resemblance.
A mathematician's idea of "applied" and a normal person's idea of the same bear little resemblance.
Given the centrality of linear algebra to applied mathematics (even in places where you wouldn't first expect, like the theory of regular expressions and finite automata), this seems like a perfectly sensible coinage.
(Even though I must admit I get my back up at the omission of categorical proof theory, it's perfectly natural as a sales pitch -- type theorists don't need to be convinced of the utility of category theory!)
Where can I read more about this?
http://stedolan.net/research/semirings.pdf
But I would also like to know what other resources Neel has to recommend.