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Discrete Structures for Computer Science: Counting ...

Discrete Structures for Computer Science: Counting , Recursion, and ProbabilityMichiel SmidSchool of Computer ScienceCarleton UniversityOttawa, 22, 2019 ContentsPrefacevii1 Ramsey Theory .. Sperner s Theorem .. The Quick-Sort Algorithm ..52 Mathematical Basic Concepts .. Proof Techniques .. proofs .. proofs .. proofs .. by contradiction .. by induction .. examples of proofs .. Asymptotic Notation .. Logarithms .. Exercises .. 233 The Product Rule .. Bitstrings of Lengthn.. Functions .. Books on Shelves .. The Bijection Rule.

course COMP 2804 (Discrete Structures II). Students are assumed to have taken COMP 1805 (Discrete Structures I), which covers mathematical rea-soning, basic proof techniques, sets, functions, relations, basic graph theory, asymptotic notation, and countability. During a 12-week term with three hours of classes per week, I cover most

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