I warmly recommend Analytic Combinatorics by Flajolet & Sedgewick, freely downloadable at http://algo.inria.fr/flajolet/Publications/book.pdf http://algo.inria.

I warmly recommend Analytic Combinatorics by Flajolet & Sedgewick, freely downloadable at http://algo.inria.fr/flajolet/Publications/book.pdf http://algo.inria.fr/flajolet/Publications/book.pdf I like the books you mentioned, but this one I love.