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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 . . . . . . . . . . . . . . . . . . . . . . . . . . Graphs.

order to become proficient, students need to solve many problems on their own, without the temptation of a solutions manual! These problems have been collected from a variety of sources (including the authors themselves), including a few problems from some of the texts cited in the references. Difficult problems are marked with a •.

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