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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.

Preface This is a free textbook for an undergraduate course on Discrete Structures for Computer Science students, which I have been teaching at Carleton Uni-

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