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Discrete Mathematics Problems

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Discrete Mathematics ProblemsWilliam F. KlostermeyerSchool of ComputingUniversity of North FloridaJacksonville, FL 32224E-mail: Preface31 Basics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Truth Tables and Logical Equivalences . . . . . . . . . . . . . Quantifiers . . . . . . . . . . . . . . . . . . . . . . . . . . . . Circuits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112 Sets133 Functions174 Integers and Matrices215 Direct Proofs . . . . . . . . . . . . . . . . . . . . . . . . . . . Proofs by Contradiction . . . . . . . . . . . . . . . . . . . . . Proofs by Induction . . . . . . . . . . . . . . . . . . . . . . . 276 Basic Problems .

This booklet consists of problem sets for a typical undergraduate discrete mathematics course aimed at computer science students. These problem may be used to supplement those in the course textbook. We felt that in order to become proficient, students need to solve many problems on their own, without the temptation of a solutions manual!

  Discrete

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