This book covers elementary discrete mathematics for computer science and engineering. It emphasizes mathematical definitions and proofs as well as applicable methods. Topics include formal logic notation proof methods; induction well-ordering; sets relations; elementary graph theory; integer congruences; asymptotic notation and growth of functions; permutations and combinations counting principles; discrete probability. Further selected topics may also be covered such as recursive definition and structural induction; state machines and invariants; recurrences; generating functions.
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