Discrete Mathematics Problems
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 .
1.2 Truth Tables and Logical Equivalences Give truth tables for each of the following: 1. p∨q ∧r 2. ¬p → q 3. (p∨q)⊕p 4. (p∧q)∨(q → p) 5. (p → q) → …
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