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There are at least two very different approaches to renormalization in physics; the very meaning of "renormalization" is quite different in relativistic quantum field theory versus statistical mechanics (although obviously there are connections). What references might be useful depend a great deal on what kind of problems you might be interested in.
@KConrad There was (and maybe still is) a trophy, topped with a SPAM can, that was held by the active grad student who had presented the most SPAMS talks.