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Intermediate - Combinatorics and discrete mathematics

Graham/Knuth/Patashnik, Concrete mathematics

MR 97d:68003

The first chapter of Knuth's immortal work The art of computer programming is an extensive study of combinatorics and asymptotics. G/K/P is an expanded and friendlier version, which emphasizes teaching the reader to solve things, rather than just showing how they are done. Contains many funny marginal notes from students in the Stanford class which gave birth to the book, as well as tons of great exercises. Not a reference work.