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In the recursive de nition of a set, the rst rule is the basis of recursion, the second rule gives a method to generate new element(s) from the elements already determined and the third rule binds or restricts the de ned set to the elements generated by the rst two rules. The third rule should always be there. But, in practice it is left implicit. Discrete Mathematics (PDF P) This note covers the following topics: induction, counting subsets, Pascal's triangle, Fibonacci numbers, combinatorial probability, integers divisors and primes, Graphs, Trees, Finding the optimum, Matchings in graphs, Graph coloring. Author (s): L. Lovasz and K. Vesztergombi. viii proofschapterorattheveryendofthecourse).Theseadditionaltopics arecoveredinthelastchapter. WhileI(currently)believethisselectionandorderoftopicsisoptimal.

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