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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 .. Graphs .. Directed Graphs .. Problems Requiring Proofs .. 357 Counting398 Other Relations .. Algorithm Analysis .. Recurrence Relations .. Generating Functions .. Boolean Algebra .. 47 Chapter 0 PrefaceThis booklet consists of problem sets for a typical undergraduate discretemathematics course aimed at computer science students. These problemmay be used to supplement those in the course textbook.

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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